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спикеров
Питер Ошуст (Peter Oshust)
Старший геолог, отдел развития бизнеса — Seequent
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39 минут
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<encoded_tag_open />v Peter<encoded_tag_closed />Good morning or good afternoon everyone<encoded_tag_open />/v<encoded_tag_closed /></p>
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from wherever you’re attending.</p>
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I’m a professional geologist</p>
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with a few decades of experience</p>
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in mineral exploration and mining.</p>
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And I’ve focused mainly on long-term</p>
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mineral resource estimates in a variety of commodities,</p>
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diamonds, base metals, copper, nickel, precious metals</p>
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and PGEs and through a variety of deposit styles</p>
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in North and South America and Asia.</p>
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The bulk of my experience</p>
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was spent at the Ekati Diamond Mine,</p>
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where I contributed to a team that did the resource updates</p>
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on 10-kimberlite pipes up there at the time.</p>
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And I was with Wood, formerly Amec Foster Wheeler</p>
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for nine years in the Mining $ Metals Consulting group.</p>
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I’ve been at Seequent now since October, 2018,</p>
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so just over two years</p>
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and I am on the technical team</p>
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supporting business development training</p>
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and providing technical support.</p>
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And I think a few of you</p>
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will probably have communicated with me in that respect.</p>
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And I do focus on the Leapfrog Edge</p>
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resource estimation tool in Geo.</p>
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So we’re going to cover</p>
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basically the estimation workflow in Edge.</p>
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So we’ll start with exploratory data analysis</p>
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and compositing, we’ll define a few estimators.</p>
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We’ll create a rotated sub-blocked block model.</p>
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And this is kind of the trick for doing</p>
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the grade-thickness calculation in Edge.</p>
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We’ll evaluate the estimators, validate the results.</p>
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Not thoroughly, but we will do a couple of checks</p>
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and then we’ll compose and evaluate</p>
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our grade-thickness calculations</p>
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and review the results.</p>
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And then of course,</p>
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our work is intended for another audience</p>
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and I’m picturing that the rotated</p>
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grade-thickness model will go to</p>
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engineers who will re-block it</p>
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and use it for their mine planning.</p>
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So I’m just going to stop my camera for now</p>
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so that, there we go, turning it off and we’ll carry on.</p>
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Now, this grade-thickness in Edge is one way to do it.</p>
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We also have presented in the past,</p>
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most recently at the Lyceum 2020 Tips &amp; Tricks</p>
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with Sarah Connolly presenting</p>
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and we’ll provide a link for you to this recording</p>
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that was done last fall.</p>
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So this is a way to do grade-thickness contouring in Geo,</p>
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if you don’t have Edge.</p>
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All right, now I’ll flip to the live demonstration.</p>
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And we’re starting off with a set of veins.</p>
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There are four veins here, quite a variety of drill holes,</p>
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not a lot of sapling, but that’s kind of common</p>
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with the many narrow vein situations</p>
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because it’s difficult to reach them.</p>
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Now let’s see what else we’ve got here.</p>
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So that’s all of our veins and all of the drill holes.</p>
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I’m going to load another scene,</p>
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which will show us what we’ve got for vein 1.</p>
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And it looks like I must have overwritten that scene.</p>
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So I’ll just turn off some of these other veins.</p>
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So here’s vein 1 with all of the drill holes.</p>
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So let’s filter some of these for vein 1.</p>
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So those are just the assays that we have in vein 1</p>
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and it’s pretty typical that we’ve got clustered data,</p>
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so they’ve really drilled this area off quite well</p>
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with some scattered holes out around the edge,</p>
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maybe chasing the extents of that structure.</p>
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So in other words, we’ve got some clustered data here.</p>
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So that’s a quick review of the data in the scene.</p>
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Now I’m going to flip to just looking at the sample lengths,</p>
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the assay interval lengths because those will help us</p>
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in making a decision on what composite length to use.</p>
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So this is the first of our EDA in the drill hole data.</p>
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And I’m going to go to the original assay table.</p>
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I do have a merged table that has the evaluated</p>
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geological model combined with the assays,</p>
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so we can do some filters on that.</p>
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But let’s just check the statistics on our table.</p>
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So at the table level, we have multivariate statistics</p>
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and we have access to the interval lengths statistics.</p>
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So looking at a cumulative histogram of sample lengths,</p>
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we can see that we have about 80% of the samples</p>
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were taken at one meter or less</p>
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and then about 20 are higher</p>
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and there’s quite a kick at two.</p>
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So it looks like, well, if we look at the histogram,</p>
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we’ll probably see the mode there,</p>
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a big mode at one,</p>
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but then it’s a little bumped down here at two meters.</p>
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So given that we don’t want to subdivide</p>
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our longer sample intervals,</p>
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which would impact the coefficient of variation, the CV,</p>
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it might make our data look a little bit better than it is,</p>
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so we’ll composite to two meters.</p>
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And that way we’ll get a better distribution of composites.</p>
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And we are expecting to see some changes,</p>
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but let’s look at what we’ve done for compositing.</p>
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I have a two-meter composite table here.</p>
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Just have a look at what we’ve done to composite.</p>
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So I’ve composited inside the evaluated GM,</p>
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that’s the back flag, if you want to think of it,</p>
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the back flag models, compositing to two meters.</p>
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And if we have any residual end lengths, one meter and less,</p>
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they get tagged or backstitched I should say,</p>
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backstitched to the previous assay intervals.</p>
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So that’s how we manage that</p>
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and composited all of the assay values.</p>
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So we have composites.</p>
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So let’s have a look at what the composites look like</p>
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in the scene then, I think I’ve got a scene saved for that.</p>
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No, I must have overwritten that one too.</p>
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I was playing on here this morning</p>
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and made a few new scenes,</p>
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I must have wrecked my earlier ones.</p>
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So let’s just get rid of the domain assays.</p>
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Click on the right spot and then load the composite.</p>
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So we have gold composites,</p>
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pretty much the same distribution.</p>
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And if I apply the vein 1 filter,</p>
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we’re not going to see too much different either.</p>
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Turn on the rendered tubes and make them fairly fat</p>
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so we can see what we’ve got here.</p>
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So there’s the composites.</p>
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Now we do have, again, that clustered data in here</p>
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and we have some areas where we had missing intervals</p>
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and now those intervals have been,</p>
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composite intervals have been created in there.</p>
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So I think the numbers of our composites have gone up,</p>
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but that’s a good thing really,</p>
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because we’ve got some low values in here</p>
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now that we can use to constrain the estimate.</p>
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Well, let’s just check the stats on our composites.</p>
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So we have 354 samples,</p>
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with an average of 1.9 approximately grams</p>
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and a CV of just over two.</p>
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So it does have some variants in this distribution</p>
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and it looks like we’ve got some outliers over here.</p>
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I did an analysis previously,</p>
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earlier on and I pegged 23 grams as the outliers.</p>
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If I want to see where these are in the scene</p>
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and you may know already that you can interact</p>
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from charts in the scene, it applies a dynamic filter.</p>
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So I’ve selected the tail in that histogram distribution,</p>
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and it’s filtered now for those composites in the scene</p>
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and I can see the distribution of them.</p>
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Now, if they’re almost clustered,</p>
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which means we might consider</p>
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using an outlier search restriction on these,</p>
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but I chose to cap them.</p>
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Generally speaking, if you have a cluster of outliers,</p>
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it may reflect the fact that there’s a subpopulation</p>
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that hasn’t been modeled out, so you can treat it</p>
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with a special outlier search restriction.</p>
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I’ll just get my vein 1 filter back here.</p>
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All right, so it was predetermined</p>
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that we would use vein 1 as a domain estimation.</p>
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So the next step in the workflow</p>
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is to add a domain estimation to our Estimations folder.</p>
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If you’re a Geo user, you won’t see estimations.</p>
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It’s only when you have the Edge extension</p>
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that you see this folder</p>
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where you can define the estimations</p>
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that you want to evaluate onto your block model.</p>
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So let’s just clear the scene on this one.</p>
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And I think I do have a scene ready to go for to this.</p>
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So let’s go to saved scenes.</p>
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Here’s my domain estimation using saved scenes,</p>
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just saves a few clicks.</p>
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Well, not a lot has changed from what we were looking at</p>
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in terms of composites, but you’ll see now</p>
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that where we had intervals in the drill holes before,</p>
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now we have discrete points.</p>
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So those reflect the centroids</p>
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or the centers of the composites.</p>
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And let’s have a look at, that’s the 3D view.</p>
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And let’s just check that the stats still look okay.</p>
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So go back up to the Estimation folder to the vein 1.</p>
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I guess I can show you what the boundary looks like too.</p>
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So I’m just double clicking on the domain estimation.</p>
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It’s calculating a boundary block</p>
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showing us the average grade inside the vein versus outside.</p>
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And what we’re paying attention to here</p>
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is what’s going on across the boundary.</p>
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And in this case, there’s quite a sharp drop in grade.</p>
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There’s a high grade contrast.</p>
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So I will use a hard boundary.</p>
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Now if this was more gradational,</p>
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if the boundary was a little bit fuzzy, for instance,</p>
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I could use a soft boundary and share samples</p>
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from the outside to a specified distance.</p>
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And this is calculated as perpendicular</p>
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to the triangle faces, so it’s nearly a true distance.</p>
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But I am going to use a hard boundary, just cancel that.</p>
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And we’ll start looking at some of the other things here.</p>
<p>[00:11:17.010]<br />
So we’ve got the domain and the values loaded.</p>
<p>[00:11:19.830]<br />
I also did a normal scores transform</p>
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in an effort to calculate a nicer variogram,</p>
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but in the end, I didn’t go there.</p>
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But we do have the ability to do</p>
<p>[00:11:32.370]<br />
a Gaussian Weierstrass</p>
<p>[00:11:34.670]<br />
or discreet Gaussian transformation,</p>
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whatever you want to call it.</p>
<p>[00:11:38.840]<br />
Anyway, so it’s a normal scores transform,</p>
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which can sometimes help to improve modeling,</p>
<p>[00:11:45.740]<br />
calculating and modeling variograms</p>
<p>[00:11:49.162]<br />
in the presence of noisy data.</p>
<p>[00:11:50.890]<br />
I opted instead, and we’ll go the correlogram here.</p>
<p>[00:11:54.810]<br />
So we’re looking now at our spatial continuity in our model.</p>
<p>[00:11:59.190]<br />
I opted to go with a correlogram</p>
<p>[00:12:02.130]<br />
because a correlogram will work better</p>
<p>[00:12:06.150]<br />
in the presence of clustered data.</p>
<p>[00:12:08.530]<br />
It is very good at managing to control outliers, noisy data,</p>
<p>[00:12:14.250]<br />
and it also helps to see past the clustered data.</p>
<p>[00:12:19.590]<br />
So the correlogram, it’s the covariance function,</p>
<p>[00:12:24.810]<br />
which has been normalized to the mean of the sample pairs,</p>
<p>[00:12:30.630]<br />
if you want to think of it that way.</p>
<p>[00:12:32.190]<br />
So the covariance function is divided by the,</p>
<p>[00:12:38.112]<br />
the mean squared of the data or the standard deviation</p>
<p>[00:12:41.410]<br />
of the data to normalize it to the mean.</p>
<p>[00:12:44.640]<br />
So we can see in our map</p>
<p>[00:12:47.992]<br />
that there is quite a strong vertical trend,</p>
<p>[00:12:50.810]<br />
the pitch actually is the vertical</p>
<p>[00:12:53.820]<br />
and the correlograms are displayed in their true form,</p>
<p>[00:12:57.610]<br />
which is inverted to how we usually display</p>
<p>[00:13:01.500]<br />
traditional semi-variograms.</p>
<p>[00:13:04.610]<br />
Anyway, so that’s why these curves are upside down.</p>
<p>[00:13:07.400]<br />
And I have managed to apply reasonable models, I think,</p>
<p>[00:13:11.430]<br />
to the experimental variograms, so if we look in the scene,</p>
<p>[00:13:16.213]<br />
we’ll see our variogram ellipse.</p>
<p>[00:13:20.300]<br />
It’s not very big, so the continuity isn’t great.</p>
<p>[00:13:23.530]<br />
But it does look reasonable together with the data.</p>
<p>[00:13:26.400]<br />
So that is the go ahead variogram.</p>
<p>[00:13:31.920]<br />
And the next thing we want to look at is declustering.</p>
<p>[00:13:35.460]<br />
So clustered data will give you</p>
<p>[00:13:40.500]<br />
typically an overstated naive mean of your samples.</p>
<p>[00:13:46.640]<br />
So we use different declustering methods.</p>
<p>[00:13:49.590]<br />
Leapfrog provides a moving window declustering.</p>
<p>[00:13:54.120]<br />
You can also use a nearest neighbor model,</p>
<p>[00:13:56.440]<br />
which gives you in effect like a 3D</p>
<p>[00:13:59.950]<br />
polygonal volume type of a weighting.</p>
<p>[00:14:02.615]<br />
So the samples are weighted by the inverse</p>
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of the area that they have around them.</p>
<p>[00:14:09.140]<br />
And so these outline samples get more weight</p>
<p>[00:14:13.270]<br />
than the closely spaced,</p>
<p>[00:14:15.940]<br />
typically higher grade clustered data</p>
<p>[00:14:18.660]<br />
where we’ve drilled off the higher grade</p>
<p>[00:14:20.660]<br />
portion of the vein.</p>
<p>[00:14:22.980]<br />
And so the declustered mean</p>
<p>[00:14:24.930]<br />
is typically lower than your naive mean.</p>
<p>[00:14:29.190]<br />
So let’s have a look if that’s the case</p>
<p>[00:14:30.690]<br />
with our declustering tool in Edge.</p>
<p>[00:14:34.780]<br />
So here’s our distribution.</p>
<p>[00:14:38.032]<br />
And you can see as the moving window relative size</p>
<p>[00:14:41.290]<br />
increases, that the average grade comes down</p>
<p>[00:14:45.360]<br />
until it hits kind of a trough</p>
<p>[00:14:47.250]<br />
and then it goes back up again.</p>
<p>[00:14:49.922]<br />
And I suppose if you used a search ellipse</p>
<p>[00:14:52.632]<br />
that was the same size as your vein,</p>
<p>[00:14:53.530]<br />
it would come right back up to the input.</p>
<p>[00:14:56.640]<br />
So the input mean, and this mean is a little bit different</p>
<p>[00:15:00.030]<br />
than the 1.91 that we saw earlier.</p>
<p>[00:15:02.280]<br />
So this is the mean of the points,</p>
<p>[00:15:06.332]<br />
of the data rather than the length weighted intervals.</p>
<p>[00:15:08.360]<br />
So it’s just slightly different,</p>
<p>[00:15:09.450]<br />
but very close, 1.89, roughly.</p>
<p>[00:15:12.620]<br />
And if I click on this node,</p>
<p>[00:15:14.740]<br />
we’ll see that the declustered mean is 1.66.</p>
<p>[00:15:18.820]<br />
So file that number away for later.</p>
<p>[00:15:23.490]<br />
That’s our target.</p>
<p>[00:15:26.060]<br />
Moving on to estimators,</p>
<p>[00:15:29.608]<br />
and I defined three different estimators.</p>
<p>[00:15:32.890]<br />
There’s an inverse distance cubed,</p>
<p>[00:15:35.700]<br />
a nearest neighbor and a Creed estimator.</p>
<p>[00:15:40.707]<br />
And with the CV up around two,</p>
<p>[00:15:42.230]<br />
I was expecting that I would need</p>
<p>[00:15:44.000]<br />
a slightly more selective type of an estimator</p>
<p>[00:15:46.940]<br />
and that’s why IDCUBE.</p>
<p>[00:15:49.922]<br />
And we’ll see what the results are comparing the Creed</p>
<p>[00:15:54.230]<br />
to the inverse distance cubed.</p>
<p>[00:15:59.708]<br />
Now I did a multi-pass strategy as well,</p>
<p>[00:16:03.106]<br />
and that again, is to address the clustered data.</p>
<p>[00:16:06.520]<br />
So the first pass search,</p>
<p>[00:16:08.360]<br />
I’ll open up the first pass search here</p>
<p>[00:16:10.760]<br />
using the variogram and the ellipsoid</p>
<p>[00:16:13.370]<br />
is to the variogram limit.</p>
<p>[00:16:15.610]<br />
So it looked reasonable as a starting point</p>
<p>[00:16:17.810]<br />
for a first pass.</p>
<p>[00:16:20.545]<br />
And I have set a minimum number of samples of 14</p>
<p>[00:16:24.100]<br />
and a maximum of 20</p>
<p>[00:16:25.780]<br />
and a maximum samples per drill hole of five.</p>
<p>[00:16:28.750]<br />
That means that I need three holes on my first pass</p>
<p>[00:16:32.430]<br />
to estimate a block.</p>
<p>[00:16:34.780]<br />
And the block search isn’t very wide,</p>
<p>[00:16:38.490]<br />
so I’m trying to minimize the negative Creeding weights.</p>
<p>[00:16:42.390]<br />
So as the passes go, then the second pass uses a maximum</p>
<p>[00:16:48.330]<br />
or two holes to estimate the block.</p>
<p>[00:16:51.760]<br />
And then finally pass three, I’ll just show you,</p>
<p>[00:16:54.320]<br />
is pretty wide open, big search</p>
<p>[00:16:57.530]<br />
and no restrictions on the samples.</p>
<p>[00:17:00.831]<br />
So even one sample will result in a block grade estimate.</p>
<p>[00:17:04.080]<br />
So the idea here that this is just a fill pass,</p>
<p>[00:17:07.760]<br />
making sure that as many blocks as possible are estimated,</p>
<p>[00:17:10.690]<br />
and I use the similar strategies for the same sorry,</p>
<p>[00:17:15.390]<br />
same search in sample selection for the IDCUBE.</p>
<p>[00:17:19.830]<br />
So what does this look like when we evaluate it in a model?</p>
<p>[00:17:24.920]<br />
Well, I guess first off, we’ll build a model.</p>
<p>[00:17:28.080]<br />
Now I have one built already,</p>
<p>[00:17:30.322]<br />
but as I mentioned, the kind of the trick</p>
<p>[00:17:32.480]<br />
to doing the grade-thickness in Edge</p>
<p>[00:17:34.930]<br />
is to define a rotated sub-block model.</p>
<p>[00:17:37.840]<br />
So let’s see what that looks like.</p>
<p>[00:17:40.650]<br />
A new sub-block model,</p>
<p>[00:17:44.530]<br />
big parent blocks.</p>
<p>[00:17:45.530]<br />
The parent blocks are scaled to the project limits</p>
<p>[00:17:49.870]<br />
and it thinks that I need to have huge blocks</p>
<p>[00:17:53.880]<br />
because the topography is very extensive,</p>
<p>[00:17:58.522]<br />
but it’s not the case.</p>
<p>[00:17:59.420]<br />
Now I’m going to use a 10 by 10 in the X and the Y</p>
<p>[00:18:03.240]<br />
and the 300 in Z and when I’m done,</p>
<p>[00:18:06.450]<br />
I will have the, well, the next step actually</p>
<p>[00:18:08.810]<br />
is to rotate the model such that Z is across the vein</p>
<p>[00:18:13.950]<br />
and that way, with a variable Z</p>
<p>[00:18:16.540]<br />
going from zero to whatever it needs to be,</p>
<p>[00:18:19.440]<br />
it will make like an array of blocks</p>
<p>[00:18:21.920]<br />
that kind of look like little prisms.</p>
<p>[00:18:25.231]<br />
There’s a shortcut to set the angles of a rotated model,</p>
<p>[00:18:29.070]<br />
and that is to use a trend plane.</p>
<p>[00:18:30.860]<br />
So let’s just go back to the scene,</p>
<p>[00:18:33.370]<br />
align the camera up to look down dip of that vein</p>
<p>[00:18:39.542]<br />
and I’ll just apply a trend plane here.</p>
<p>[00:18:42.280]<br />
That’s got to be about 305.</p>
<p>[00:18:45.940]<br />
I’m just going to edit this,</p>
<p>[00:18:47.795]<br />
305 and the dip, 66 is okay.</p>
<p>[00:18:51.090]<br />
I don’t need to worry about the pitch for this step.</p>
<p>[00:18:54.600]<br />
It doesn’t come to bear</p>
<p>[00:18:56.730]<br />
when I’m defining the block model geometry.</p>
<p>[00:18:59.460]<br />
So now, I will set my angles from the moving plane.</p>
<p>[00:19:03.930]<br />
And now that model, it’s a little bit jumped off</p>
<p>[00:19:08.900]<br />
to the side there.</p>
<p>[00:19:11.045]<br />
It is in the correct orientation now</p>
<p>[00:19:15.500]<br />
at least for that vein, where am I?</p>
<p>[00:19:21.230]<br />
Oh, my trend plane isn’t very good.</p>
<p>[00:19:23.000]<br />
Let’s back up here.</p>
<p>[00:19:24.300]<br />
I’m going to define a trend plane first</p>
<p>[00:19:31.382]<br />
and then it’ll create a plane.</p>
<p>[00:19:34.292]<br />
To the side, 305</p>
<p>[00:19:37.140]<br />
and dipping, 66 I think was good enough.</p>
<p>[00:19:42.360]<br />
Now a trend plane and let’s get back</p>
<p>[00:19:44.905]<br />
to this block model business.</p>
<p>[00:19:46.380]<br />
New sub-block model,</p>
<p>[00:19:50.402]<br />
10 by 10 by 300.</p>
<p>[00:19:52.710]<br />
I want to make sure that I go right across the vein</p>
<p>[00:19:55.410]<br />
wherever there are any undulations.</p>
<p>[00:19:58.180]<br />
And I will just have five-meter sub-blocks.</p>
<p>[00:20:01.490]<br />
So the sub-block count two into 10</p>
<p>[00:20:05.070]<br />
gives me my two five-meter sub-blocks</p>
<p>[00:20:09.830]<br />
and let’s set angles from moving plane.</p>
<p>[00:20:15.890]<br />
It’s better.</p>
<p>[00:20:16.780]<br />
Now it’s lined up to where that vein is.</p>
<p>[00:20:19.455]<br />
There’s a lot of extra real estate here that we can get.</p>
<p>[00:20:24.480]<br />
We can trim that by moving the extents</p>
<p>[00:20:27.940]<br />
a little bit back and forth.</p>
<p>[00:20:30.928]<br />
Of course, the minimum thickness of that model</p>
<p>[00:20:34.030]<br />
in the Z direction is going to be 300</p>
<p>[00:20:36.370]<br />
because that’s what I have set my Z dimension to be.</p>
<p>[00:20:43.530]<br />
One more tweak and that’s roughed in pretty, pretty good.</p>
<p>[00:20:50.640]<br />
Of course, if you had an open pit,</p>
<p>[00:20:51.990]<br />
you would have to make it a little bit bigger,</p>
<p>[00:20:54.630]<br />
but this is going to be an underground mine.</p>
<p>[00:20:57.270]<br />
So that’s aligning it to the model</p>
<p>[00:21:00.830]<br />
and you can see by the checkerboard pattern</p>
<p>[00:21:03.090]<br />
that Z is across the vein.</p>
<p>[00:21:06.327]<br />
And then after that, I would set my sub-blocking triggers</p>
<p>[00:21:07.960]<br />
and devaluations and carry on.</p>
<p>[00:21:10.670]<br />
Now we already have a model built.</p>
<p>[00:21:12.410]<br />
So I’ll just click Cancel at this point</p>
<p>[00:21:16.735]<br />
and bring that model into the scene.</p>
<p>[00:21:19.805]<br />
Well, the first thing we could look at</p>
<p>[00:21:21.720]<br />
is the evaluated geological model.</p>
<p>[00:21:25.010]<br />
Oops, the evaluated geological model</p>
<p>[00:21:29.070]<br />
and that is filtered for measured and indicated blocks,</p>
<p>[00:21:31.940]<br />
but there’s the model.</p>
<p>[00:21:35.739]<br />
And if we cut a slice right along the model trend</p>
<p>[00:21:41.060]<br />
slice and cross the vein</p>
<p>[00:21:47.700]<br />
and then set the width to five and the step size to five.</p>
<p>[00:21:52.770]<br />
And this can be 125.</p>
<p>[00:21:55.820]<br />
Now I am looking perpendicular to the model.</p>
<p>[00:22:00.440]<br />
And if I hit L, on the keyboard to look at that model,</p>
<p>[00:22:07.040]<br />
I should be able to see those prisms</p>
<p>[00:22:09.840]<br />
that I was looking for.</p>
<p>[00:22:10.890]<br />
Yeah, they’re all kind of prisms.</p>
<p>[00:22:12.540]<br />
We can see this model isn’t very thick or tall,</p>
<p>[00:22:15.280]<br />
it’s only about five meters or less.</p>
<p>[00:22:19.940]<br />
And I don’t see any breaks in the block.</p>
<p>[00:22:22.290]<br />
So that means that my Z value at 300 is pretty good.</p>
<p>[00:22:26.260]<br />
If I would have used a Z at, let’s say a 100 meters,</p>
<p>[00:22:29.780]<br />
I may have had some blocks being split,</p>
<p>[00:22:32.300]<br />
but I want only blocks that are completely across</p>
<p>[00:22:36.454]<br />
that vein in the Z direction.</p>
<p>[00:22:40.960]<br />
So let’s turn off these lights, we’ve got our model</p>
<p>[00:22:44.360]<br />
and of course we’ve evaluated the GM</p>
<p>[00:22:47.560]<br />
and I set the sub-blocking triggers to the GM as well.</p>
<p>[00:22:51.890]<br />
Now I’m just going to my cheat sheet here</p>
<p>[00:22:53.750]<br />
to see what I also want to show you.</p>
<p>[00:22:56.580]<br />
So at this point, yeah,</p>
<p>[00:22:58.239]<br />
let’s have a quick look at some of the models.</p>
<p>[00:23:00.560]<br />
So that’s the geology.</p>
<p>[00:23:04.060]<br />
I evaluated,</p>
<p>[00:23:05.360]<br />
I created, sorry, I created a combined estimator</p>
<p>[00:23:08.170]<br />
for the three passes for the inverse distance cubed</p>
<p>[00:23:12.040]<br />
and the Creed estimator</p>
<p>[00:23:13.900]<br />
so that I can combine all three passes.</p>
<p>[00:23:16.810]<br />
Actually, I better show you what that looks like.</p>
<p>[00:23:19.180]<br />
So in the combined estimator,</p>
<p>[00:23:21.410]<br />
I just double clicked on it to open.</p>
<p>[00:23:23.320]<br />
I selected passes one, two, and three in order.</p>
<p>[00:23:26.528]<br />
It’s important because as a block is estimated,</p>
<p>[00:23:30.930]<br />
it doesn’t get overwritten by the following passes.</p>
<p>[00:23:34.700]<br />
So if I were to put pass three at the top,</p>
<p>[00:23:37.160]<br />
of course, everything would have been estimated</p>
<p>[00:23:38.680]<br />
with pass three and pass one and two</p>
<p>[00:23:40.610]<br />
wouldn’t have had any impact on the model at all.</p>
<p>[00:23:43.130]<br />
So yes, hierarchy is important and it is correct.</p>
<p>[00:23:48.210]<br />
So let’s just have a look at that model.</p>
<p>[00:23:51.690]<br />
So there’s the Creed, here’s the Creed model</p>
<p>[00:23:55.745]<br />
and it’s not bad, but I can see,</p>
<p>[00:23:59.420]<br />
I would have to tune it a little bit better.</p>
<p>[00:24:01.410]<br />
I think there’s some funny artifact patches of blocks</p>
<p>[00:24:04.870]<br />
and things, may or may not be able to get rid of those.</p>
<p>[00:24:11.520]<br />
And there are big areas around the edge</p>
<p>[00:24:15.370]<br />
that have just one grade.</p>
<p>[00:24:17.480]<br />
So that’s kind of reflecting</p>
<p>[00:24:19.518]<br />
the fact that there’s not a lot of data out there</p>
<p>[00:24:21.180]<br />
and that third pass search basically estimating the block</p>
<p>[00:24:24.490]<br />
with that one pass.</p>
<p>[00:24:26.670]<br />
Let’s see what the IDCUBE model looks like.</p>
<p>[00:24:31.000]<br />
That’s a much prettier model, I guess</p>
<p>[00:24:33.430]<br />
because the thing is how does it validate?</p>
<p>[00:24:37.195]<br />
And we will check it against the nearest neighbor model,</p>
<p>[00:24:40.750]<br />
which is kind of a proxy to a declustered distribution.</p>
<p>[00:24:44.150]<br />
Even though we will have more than one sample per block,</p>
<p>[00:24:48.280]<br />
it does kind of emulate or is a proxy for</p>
<p>[00:24:52.343]<br />
properly declustered to distribution.</p>
<p>[00:24:55.990]<br />
Anyway, let’s go back to the IDCUBE.</p>
<p>[00:24:59.260]<br />
Another thing that we can do,</p>
<p>[00:25:01.330]<br />
and that is to restrict our comparison</p>
<p>[00:25:06.490]<br />
within a reasonable envelope</p>
<p>[00:25:08.870]<br />
around the blocks that are well-supported.</p>
<p>[00:25:14.042]<br />
So this is basically, where does it matter?</p>
<p>[00:25:15.980]<br />
Like it doesn’t matter so much around the edges,</p>
<p>[00:25:18.580]<br />
we’re expecting a little bit of error out there.</p>
<p>[00:25:24.795]<br />
But if we define a boundary</p>
<p>[00:25:27.010]<br />
around that are of the well-drilled region,</p>
<p>[00:25:35.360]<br />
and it’s showing in there.</p>
<p>[00:25:38.190]<br />
There’s my well-drilled region.</p>
<p>[00:25:39.550]<br />
So I’m calling this my EDA envelope.</p>
<p>[00:25:42.050]<br />
I’m going to do my validation checks in that envelope.</p>
<p>[00:25:45.955]<br />
They’re going to be much more relevant</p>
<p>[00:25:48.745]<br />
than just having everything on the outside</p>
<p>[00:25:51.870]<br />
that is inferred confidence or less, let’s say.</p>
<p>[00:25:55.720]<br />
Okay, back to the model and let’s check our stats.</p>
<p>[00:26:01.090]<br />
So going to check statistics, table of statistics.</p>
<p>[00:26:07.505]<br />
And I want to replicate the mean of the distribution</p>
<p>[00:26:13.500]<br />
with my estimates.</p>
<p>[00:26:14.920]<br />
And you’ll recall that the declustered mean is 1.66,</p>
<p>[00:26:19.845]<br />
the nearest neighbor model is also very close to that</p>
<p>[00:26:22.600]<br />
within a percent, 1.689, and the CV is almost the same</p>
<p>[00:26:28.240]<br />
as it was for our samples, which was two.</p>
<p>[00:26:30.982]<br />
So that nearest neighbor model,</p>
<p>[00:26:33.116]<br />
again, reasonable proxy</p>
<p>[00:26:35.550]<br />
for the declustered grade distribution</p>
<p>[00:26:37.970]<br />
and very useful for comparison.</p>
<p>[00:26:40.040]<br />
The IDCUBE model comes in quite well.</p>
<p>[00:26:43.960]<br />
Well, it’s a little bit off, but not bad, 1.73, roughly.</p>
<p>[00:26:47.400]<br />
So we’re replicating the mean of our input distribution</p>
<p>[00:26:52.530]<br />
with the IDCUBE.</p>
<p>[00:26:54.530]<br />
For some reason, we’ve got higher grades</p>
<p>[00:26:57.470]<br />
in the ordinary Creed model than we do in our samples.</p>
<p>[00:27:02.450]<br />
So that’s kind of a warning sign</p>
<p>[00:27:05.000]<br />
and it is very much smoothed,</p>
<p>[00:27:06.810]<br />
it’s .65, a CV of .66, which is much less than two,</p>
<p>[00:27:11.800]<br />
so it’s probably overly smoothed.</p>
<p>[00:27:14.290]<br />
And without doing any additional validation checks,</p>
<p>[00:27:17.280]<br />
I’m going to use my IDCUBE as the go-ahead model</p>
<p>[00:27:21.160]<br />
and yeah, carry on from there.</p>
<p>[00:27:26.240]<br />
Now let’s see.</p>
<p>[00:27:27.220]<br />
Oh, I didn’t mention it,</p>
<p>[00:27:28.932]<br />
but yeah, I did do variable orientation.</p>
<p>[00:27:31.810]<br />
Funny how you can miss stuff when you’re doing these demos.</p>
<p>[00:27:36.270]<br />
I did do a variable orientation,</p>
<p>[00:27:38.730]<br />
which is using the vein to capture the dynamic</p>
<p>[00:27:44.720]<br />
or locally varying iroinite in the estimation,</p>
<p>[00:27:49.440]<br />
our implementation of variable orientation in Edge</p>
<p>[00:27:53.450]<br />
changes the direction of the search</p>
<p>[00:27:55.980]<br />
and the direction of the variogram,</p>
<p>[00:27:57.480]<br />
it doesn’t recalculate the variogram.</p>
<p>[00:27:59.200]<br />
It just changes the directions</p>
<p>[00:28:01.120]<br />
and applies that to the search</p>
<p>[00:28:02.980]<br />
so that we get a much better local estimate</p>
<p>[00:28:06.750]<br />
using the variable orientation.</p>
<p>[00:28:09.400]<br />
Okay, so moving right along,</p>
<p>[00:28:12.818]<br />
and the next thing is to get into the calculations</p>
<p>[00:28:15.600]<br />
because that’s where we do the grade-thickness.</p>
<p>[00:28:18.390]<br />
So I’m going to double-click on Calculations,</p>
<p>[00:28:21.030]<br />
it’ll open up my calculations editor.</p>
<p>[00:28:23.540]<br />
I better show you the</p>
<p>[00:28:29.910]<br />
panel with the tools</p>
<p>[00:28:32.600]<br />
Where are my tools?</p>
<p>[00:28:36.660]<br />
I’ll maybe open it in another way here.</p>
<p>[00:28:41.455]<br />
‘Cause I have to show you that panel.</p>
<p>[00:28:42.950]<br />
Calculations and filters</p>
<p>[00:28:53.082]<br />
so there should be a panel that pops out here</p>
<p>[00:28:56.280]<br />
that we can see the metadata that is used</p>
<p>[00:29:01.450]<br />
or the items we can select, go into the calculations</p>
<p>[00:29:04.450]<br />
and our syntax buttons.</p>
<p>[00:29:08.342]<br />
And isn’t that funny?</p>
<p>[00:29:09.953]<br />
It’s not being active for me.</p>
<p>[00:29:10.950]<br />
Well, let’s have a look at the calculations anyway,</p>
<p>[00:29:12.770]<br />
because the syntax is sort of self-explanatory.</p>
<p>[00:29:16.670]<br />
So I did do a filter for the,</p>
<p>[00:29:21.010]<br />
let’s expand, collapse that.</p>
<p>[00:29:23.092]<br />
So I did do a filter for my measured in indicated,</p>
<p>[00:29:25.970]<br />
which is within the EDA envelope.</p>
<p>[00:29:28.920]<br />
So that was my limits.</p>
<p>[00:29:31.360]<br />
I also did some error traps that found empty blocks</p>
<p>[00:29:37.470]<br />
and put in a background value.</p>
<p>[00:29:39.140]<br />
They didn’t get estimated.</p>
<p>[00:29:41.055]<br />
So if it’s the vein and the estimate is normal,</p>
<p>[00:29:44.320]<br />
then it gets that value,</p>
<p>[00:29:45.620]<br />
otherwise it gets a low background value.</p>
<p>[00:29:48.030]<br />
And I did that for each of my models.</p>
<p>[00:29:50.850]<br />
I also calculated a class, category calculation for class.</p>
<p>[00:29:56.450]<br />
So if it was in the vein and it was in the EDA envelope,</p>
<p>[00:30:00.610]<br />
and within 25 meters, then it gets measured,</p>
<p>[00:30:02.940]<br />
otherwise in the EDA envelope, it’s indicated.</p>
<p>[00:30:06.090]<br />
So I did contour</p>
<p>[00:30:09.990]<br />
the region of 25 to 45 meters</p>
<p>[00:30:14.860]<br />
and then drew a poly line.</p>
<p>[00:30:17.110]<br />
And that was what formed my EDA envelope.</p>
<p>[00:30:20.010]<br />
And then outside of that, if it’s inferred</p>
<p>[00:30:23.310]<br />
or if it’s still in the vein</p>
<p>[00:30:25.030]<br />
but beyond the indicated boundary,</p>
<p>[00:30:28.677]<br />
or my EDA envelope, then I just called it inferred.</p>
<p>[00:30:33.670]<br />
So there’s also, I did for the statistics,</p>
<p>[00:30:39.390]<br />
I did also create calculated,</p>
<p>[00:30:44.360]<br />
numeric calculation of the measured and indicated blocks,</p>
<p>[00:30:49.060]<br />
two those were just for more comparisons.</p>
<p>[00:30:51.900]<br />
But finally, finally, we’re getting to the thickness.</p>
<p>[00:30:55.490]<br />
So the thickness is pretty straightforward</p>
<p>[00:30:57.050]<br />
because we have access to the Z dimension.</p>
<p>[00:31:01.000]<br />
So all I had to do for thickness</p>
<p>[00:31:03.230]<br />
is say, if it was in the vein,</p>
<p>[00:31:05.230]<br />
then give the thickness model the value of the Z dimension,</p>
<p>[00:31:09.530]<br />
otherwise it’s outside.</p>
<p>[00:31:11.620]<br />
And then the next step after that</p>
<p>[00:31:14.350]<br />
is to do a calculation, very simple.</p>
<p>[00:31:18.170]<br />
If that block was normally estimated has a value,</p>
<p>[00:31:20.780]<br />
in other words, then we just multiply our thickness</p>
<p>[00:31:24.230]<br />
times the grade of that final model.</p>
<p>[00:31:26.330]<br />
And I used the IDCUBE model, and that’s that.</p>
<p>[00:31:30.170]<br />
So we can then look at these models in the scene.</p>
<p>[00:31:37.100]<br />
Any calculation that we do can be visualized in the scene.</p>
<p>[00:31:40.460]<br />
So let’s have a look there, see the thickness,</p>
<p>[00:31:42.820]<br />
so you can see where there might be some shoots</p>
<p>[00:31:47.620]<br />
in that kind of orientation.</p>
<p>[00:31:51.435]<br />
And if we multiply, sorry, grade times thickness,</p>
<p>[00:31:56.400]<br />
we can see, yeah, maybe there are some shoots</p>
<p>[00:31:59.280]<br />
that we need to pay attention to,</p>
<p>[00:32:01.870]<br />
maybe target some holes down plunge of these shoots</p>
<p>[00:32:06.530]<br />
to see exactly what’s going on.</p>
<p>[00:32:10.084]<br />
And as I mentioned, that model exists,</p>
<p>[00:32:14.280]<br />
well exists, we can now export that model</p>
<p>[00:32:18.780]<br />
to give it to the engineers.</p>
<p>[00:32:21.490]<br />
So let’s just go to our model.</p>
<p>[00:32:24.500]<br />
What does that look like?</p>
<p>[00:32:26.350]<br />
Export,</p>
<p>[00:32:29.260]<br />
let’s call it Sub-block Model Rotated,</p>
<p>[00:32:33.550]<br />
and we can export just the CSV file</p>
<p>[00:32:36.480]<br />
that has all of the information in top of the file,</p>
<p>[00:32:42.740]<br />
a CSV with a separate text file for that metadata,</p>
<p>[00:32:46.110]<br />
or just points if you just need the points</p>
<p>[00:32:48.460]<br />
for maybe contouring or something,</p>
<p>[00:32:51.010]<br />
but I’m going to select that CV output format.</p>
<p>[00:32:56.037]<br />
Well, I’ve already done this, so it is somewhat persistent.</p>
<p>[00:32:59.670]<br />
It remembered which models I had exported</p>
<p>[00:33:03.500]<br />
and then applying a query filters</p>
<p>[00:33:06.210]<br />
so I’m not exporting the entire model,</p>
<p>[00:33:08.650]<br />
just the one for vein 1</p>
<p>[00:33:10.910]<br />
and ignoring rows or columns</p>
<p>[00:33:14.730]<br />
where all of the blocks were in air condition or empty.</p>
<p>[00:33:18.170]<br />
And then I can use status codes, either his texts</p>
<p>[00:33:22.135]<br />
or his numerics, carry on here</p>
<p>[00:33:26.100]<br />
and pick the character set.</p>
<p>[00:33:27.260]<br />
The default usually works here in North America,</p>
<p>[00:33:31.687]<br />
and there’s a summary and finally export.</p>
<p>[00:33:33.440]<br />
There aren’t a lot of blocks there,</p>
<p>[00:33:34.570]<br />
so the export actually happens pretty quickly.</p>
<p>[00:33:37.970]<br />
So let me see what else I’ve got here.</p>
<p>[00:33:44.130]<br />
Yes, okay, so the filter,</p>
<p>[00:33:46.417]<br />
I just want to show you in the block model,</p>
<p>[00:33:48.290]<br />
I did define that filter for the vein</p>
<p>[00:33:50.980]<br />
1 measured and indicated.</p>
<p>[00:33:53.250]<br />
So that is kind of the view again,</p>
<p>[00:33:56.400]<br />
where the blocks are filtered for what matters.</p>
<p>[00:34:00.210]<br />
And that’s actually is, that’s the workflow.</p>
<p>[00:34:03.740]<br />
And I hope I’ve covered it in 30 minutes or less,</p>
<p>[00:34:07.970]<br />
and the floor is now open for questions.</p>
<p>[00:34:13.010]<br />
<encoded_tag_open />v Hannah<encoded_tag_closed />Awesome, thanks, Peter.<encoded_tag_open />/v<encoded_tag_closed /></p>
<p>[00:34:13.843]<br />
That was really good.</p>
<p>[00:34:15.670]<br />
I even learned a couple of things.</p>
<p>[00:34:18.504]<br />
I love when you sprinkle breadcrumbs of knowledge</p>
<p>[00:34:22.050]<br />
throughout your demos.</p>
<p>[00:34:24.240]<br />
Right, so we’ve got some time for questions here.</p>
<p>[00:34:26.220]<br />
I’ll give everybody a moment to type some things</p>
<p>[00:34:30.530]<br />
into that questions panel, if you haven’t done so already.</p>
<p>[00:34:35.010]<br />
I’ll start, Peter, there’s a couple of questions here.</p>
<p>[00:34:39.267]<br />
So the first one,</p>
<p>[00:34:41.217]<br />
how can you view sample distance on a block model?</p>
<p>[00:34:46.480]<br />
<encoded_tag_open />v Peter<encoded_tag_closed />Okay, maybe I’ll go back to Leapfrog<encoded_tag_open />/v<encoded_tag_closed /></p>
<p>[00:34:49.850]<br />
for that then.</p>
<p>[00:34:51.330]<br />
So sample or average distance and minimum distance</p>
<p>[00:34:56.000]<br />
are captured in the estimator.</p>
<p>[00:34:57.830]<br />
So let’s just go up to an estimator.</p>
<p>[00:35:07.217]<br />
Estimator, I’ll use the combined one.</p>
<p>[00:35:09.314]<br />
And in the outputs tab, if I want to see the minimum</p>
<p>[00:35:11.410]<br />
or average distance, I can select those</p>
<p>[00:35:14.140]<br />
as the output number of samples as well.</p>
<p>[00:35:18.354]<br />
So with that one selected,</p>
<p>[00:35:20.104]<br />
I should be able to go to my evaluated model.</p>
<p>[00:35:24.660]<br />
There’s my combined ID3 estimator, there’s average distance.</p>
<p>[00:35:29.637]<br />
So there’s a map of distance, to samples</p>
<p>[00:35:35.690]<br />
and each block, if I click on a block,</p>
<p>[00:35:38.070]<br />
I can actually go right to the absolute value.</p>
<p>[00:35:42.060]<br />
And you can export this too if you need that kind of thing</p>
<p>[00:35:46.400]<br />
in the exported block model.</p>
<p>[00:35:49.850]<br />
<encoded_tag_open />v Hannah<encoded_tag_closed />Okay, thanks, Peter.<encoded_tag_open />/v<encoded_tag_closed /></p>
<p>[00:35:52.140]<br />
Another question,</p>
<p>[00:35:53.210]<br />
how can I find that grade-thickness workflow</p>
<p>[00:35:57.900]<br />
on drill holes?</p>
<p>[00:36:00.150]<br />
I can actually just paste that into the chat here.</p>
<p>[00:36:02.800]<br />
I’ll paste that hyperlink.</p>
<p>[00:36:05.910]<br />
So that was our, we had a Tips &amp; Tricks session</p>
<p>[00:36:08.150]<br />
as part of our Lyceum. I’ll put that in the chat here.</p>
<p>[00:36:12.660]<br />
Okay, another question,</p>
<p>[00:36:13.780]<br />
we saw you pick your declustering distance in the plot.</p>
<p>[00:36:20.501]<br />
Is this typically how all</p>
<p>[00:36:21.520]<br />
<encoded_tag_open />v Peter<encoded_tag_closed />I missed the question Hannah.<encoded_tag_open />/v<encoded_tag_closed /></p>
<p>[00:36:23.414]<br />
<encoded_tag_open />v Hannah<encoded_tag_closed />We saw you pick your declustering distances<encoded_tag_open />/v<encoded_tag_closed /></p>
<p>[00:36:27.120]<br />
or distance in the plot, is that typically how</p>
<p>[00:36:30.010]<br />
all declustering distances are selected</p>
<p>[00:36:32.100]<br />
or can you speak more about declustering distances?</p>
<p>[00:36:36.400]<br />
<encoded_tag_open />v Peter<encoded_tag_closed />Well, generally speaking,<encoded_tag_open />/v<encoded_tag_closed /></p>
<p>[00:36:39.080]<br />
when we’re doing declustering,</p>
<p>[00:36:40.760]<br />
we’re targeting distribution</p>
<p>[00:36:44.750]<br />
where the area of interest has been drilled off more</p>
<p>[00:36:49.537]<br />
than outside and consequently,</p>
<p>[00:36:52.120]<br />
the naive average is higher than the declustered average.</p>
<p>[00:36:57.410]<br />
So that’s why I’m picking the lowest point here,</p>
<p>[00:37:01.940]<br />
the lowest mean from the moving window relative size.</p>
<p>[00:37:08.920]<br />
And so it’s,</p>
<p>[00:37:12.464]<br />
now that isn’t always the case.</p>
<p>[00:37:13.490]<br />
It could be flipped if you’re dealing with contaminants.</p>
<p>[00:37:16.250]<br />
In that case, you might find that your curve is upside down</p>
<p>[00:37:20.610]<br />
or inverted with respect to this one,</p>
<p>[00:37:22.680]<br />
and you would pick the highest one.</p>
<p>[00:37:25.080]<br />
So I have seen that a couple of times.</p>
<p>[00:37:26.880]<br />
I don’t have a dataset that I can emulate that,</p>
<p>[00:37:31.514]<br />
but this is typically where you’re picking</p>
<p>[00:37:34.735]<br />
your decluttering mean.</p>
<p>[00:37:36.160]<br />
Did that answer the question?</p>
<p>[00:37:37.840]<br />
<encoded_tag_open />v Hannah<encoded_tag_closed />I think so, yeah.<encoded_tag_open />/v<encoded_tag_closed /></p>
<p>[00:37:38.910]<br />
<encoded_tag_open />v Peter<encoded_tag_closed />Okay.<encoded_tag_open />/v<encoded_tag_closed /></p>
<p>[00:37:40.426]<br />
<encoded_tag_open />v Hannah<encoded_tag_closed />Another question just came in.<encoded_tag_open />/v<encoded_tag_closed /></p>
<p>[00:37:42.330]<br />
I know we’re past our time here,</p>
<p>[00:37:44.170]<br />
but I do want to squeeze these out</p>
<p>[00:37:46.210]<br />
for anyone who’s interested so.</p>
<p>[00:37:47.770]<br />
Thanks, great presentation.</p>
<p>[00:37:49.370]<br />
Is there a limitation to the model size</p>
<p>[00:37:51.980]<br />
for import or export using Edge?</p>
<p>[00:37:55.887]<br />
I guess we mean block model there.</p>
<p>[00:37:57.410]<br />
<encoded_tag_open />v Peter<encoded_tag_closed />Yeah, there doesn’t appear to be a hard limit<encoded_tag_open />/v<encoded_tag_closed /></p>
<p>[00:38:01.987]<br />
on most block sizes.</p>
<p>[00:38:04.010]<br />
However, I should qualify that the current structure</p>
<p>[00:38:07.875]<br />
for the Edge block model does not support</p>
<p>[00:38:11.120]<br />
the importing of sub-block models.</p>
<p>[00:38:13.980]<br />
So while you can export a sub-block model,</p>
<p>[00:38:15.980]<br />
you can’t import one, which is a bit of a limitation</p>
<p>[00:38:18.660]<br />
until we fully implement the octree structure,</p>
<p>[00:38:22.210]<br />
which is similar to some of what our competitors</p>
<p>[00:38:26.727]<br />
that use sub-blocked models as well.</p>
<p>[00:38:29.827]<br />
But I know there are people out there</p>
<p>[00:38:31.850]<br />
that have billion blocked block models</p>
<p>[00:38:35.277]<br />
that they’re working actively within their organizations,</p>
<p>[00:38:38.740]<br />
mind you they’re very cumbersome at that scale.</p>
<p>[00:38:43.490]<br />
<encoded_tag_open />v Hannah<encoded_tag_closed />Right, okay.<encoded_tag_open />/v<encoded_tag_closed /></p>
<p>[00:38:47.090]<br />
Well, that wraps up our questions.</p>
<p>[00:38:50.480]<br />
We’ve got another one who says thank you.</p>
<p>[00:38:52.787]<br />
You’re welcome.</p>
<p>[00:38:53.620]<br />
So thanks again, Peter.</p>
<p>[00:38:54.825]<br />
That was awesome.</p>
<wpml_invalid_tag original=»PHA+» />[00:38:56.614]<br />
(gentle music)