Case Study #1: Techniques of Geological Compositing

Two Types of Compositing are described here. (1) Single Seam or Ore Body  compositing where the seam has been sampled at various intervals, and (2) Combinations of Several Seams Separated by Interburden.

(1) Single Seam or Ore Body

Large ore deposits such as limestone and thick beds of coal are often sampled at multiple points within the single ore body or bed. For long-range planning and reserve estimates, it is often desired to obtain the composite quality for the entire mineral deposit within an inclusion perimeter. For short-range planning, the mine engineer needs to know what quality will be obtained in a particular vertical segment of the ore body or seam, also within a defined perimeter.

Entire Seam Composites In the first example, a body of ore has been sampled at 3 to 4 points vertically, as seen in the geologic columns. Note in the geologic columns (generated with Draw Geologic Column) that all the ORE has been assigned bed "A". This will "lump" the various ore samples into one "bed". If the bed name is not assigned when the holes are drawn, then this can be accomplished by the commands "Assign Bed Names" or "Fill in Bed Names". Then the command Selected Strata Quantities will produce this report (showing  composite A tons) when the A_Key strata is chosen singly and the inclusion perimeter is selected. Compositing of the single A bed is automatic. 

Note: The program will not composite qualities for a strata name that is repeated, unless there is a bed name grouping them together.

The command Selected Strata Quantities brings up this screen to select the strata or bed to analyze.

Follow these prompts to get the report screen.
CHQUAN2
Select drillholes, channel samples and strata polylines.
Select objects: Specify opposite corner: 3 found
Select objects: ENTER
Reading drillhole 3
Finding splits ...
Finding pinch out ...
Calculating seam stacking ...
Processing only strata with beds.
Select the Inclusion perimeter polylines or ENTER for none.
Select objects: 1 found
Select objects:ENTER
Select the Exclusion perimeter polylines or ENTER for none.
Select objects: ENTER
Choose modeling method [<Triangulation>/Inverse dist/Kriging/Polynomial/LeastSq/ABOS]? TRI
Apply global trend to strata extrapolation [Yes/<No>]? N
Use Triangulation Subdivision [Yes/<No>]? N
Pre-processing grid cells ...
Ignore zero attributes [<Yes>/No]? Y
Create composite quantities [Yes/<No>]? N
Assigning grid values> 2700
Processing cells ...
Enter strata A_KEY density in lbs/ft^3 <0.000>: 80
A_KEY Volume: 139868398.5 C.F., 5180311.1 C.Y., Avg Thickness: 27.53
A_KEY Area: 5080947.3 S.F., 116.6425 Acres
A_KEY Tons: 5594735.9 at Density: 80.00
Calculate qualities from strata A_KEY values [<Yes>/No]? y
Assigning grid values> 2700
Processing cells ...
BTU of A_KEY: 8264.084
Assigning grid values> 2700
Processing cells ...
MOISTURE of A_KEY: 30.510
Press ENTER to continue.

Vertical Composite Zones
In the next example, a vertical zone of ore has been defined as the upper part of the ore body or "A" bed from 4130 elevation and up. The "floor" of the vertical cut in this case is flat, following the 4130 elevation. This might correspond to a mine plan where the base of the first of two cuts is designed to hit elevation 4130 within the entire pit. The technique required is to divide bed A into two beds. This is done by the command "Split Bed" within Strata/Bed Utilities under Drillhole. The prompting is as follows:

Command: splitbed
Split strata method [<Elevation>/Grid/Thickness]? E
Select the Drillholes for bed split. Select the holes
Select objects: Specify opposite corner: 3 found
Enter name of the bed to split: A
Rename bed or assign key/non-key status [<Name>/Status]? Name
Enter new name for the upper part of the bed: A Upper
Enter new name for the lower part of the bed: A Lower
Enter a split elevation: 4130

This shows a drillhole before splitting the A seam into an A Upper and A Lower.

Here is the same drillhole, viewed within "Edit Drillhole" after the command "Split Bed". Notice the new Bed Names, A Upper and A Lower.

The result is a new base of A Upper seam. It is important to note that the quality characteristics of the original ore zone have been applied identically to the new ore zones that have been renamed to A Upper and A Lower. The rest of the ore zone, the lower 12.5 feet, has become part of A Lower. If a drillhole does not reach as low as 4130 elevation, then all the ore remains in the A Upper bed and is unaffected. Conversely, if the ore never exceeds elevation 4130 in a particular drillhole, then it is assigned bed A Lower for all the ore sample points. Here is a Fence Diagram showing the two divisions of the bed, at elevation 4130.

Now the command "Selected Strata Quantities" can be run. Ironically, you don't select the "composite" option because you want to calculate the A Upper and the A Lower beds distinctly. You select them one at a time from the dialog box. This leads to the result shown here in the report. Adding the tons calculated here: 3292460 + 2351700 = 5644160 calculated above, when the bed was just A. This is a good check to make sure the quantities match.

Split Bed by Grid File
In the previous example, we chose to split the bed by elevation. If, by contrast, the goal was to leave 5-feet of lower ore in place to be removed by different equipment, then the vertical demarcation is not a fixed elevation but a grid file defined as base of ore plus 5 feet. This grid file is made by using "Make Strata Grid Files" to make the base of ore, then using Grid File Utilities (in the DTM or StrataCalc menu) you would add a value of 5-feet and re-save the grid file as Oreplus5.grd or some such name. This new file would be used to delineate the split elevation between the A Upper and A Lower beds.

Advanced Mine Module Techniques
In the above example, the command "Selected Strata Quantities" was used. This is an "on-the-fly" selection approach, where the drillholes are selected each time the command is run. It does not take advantage of stored grid files in the Geologic Model file (.PRE), which is the essence of the Advanced Mine Module. To apply the above procedures to the Advanced Mine Module, follow this sequence:

  1. Establish Bed A Upper and Bed A Lower using Split Bed.
  2. Make grid files for the surface, the top of Bed A Upper, the base of Bed A Upper and the base of Bed A Lower.
  3. Enter these files in appropriate order (A Upper first, then A Lower) as a stored Geologic Model grid set, using the command "Define Geologic Model" under the Drillhole pulldown.

Then run Surface Mine Reserves, selecting Geologic Model as the modeling method. You will obtain the same quantities for each bed as reported from the command "Selected Strata Quantities".

The advantage of setting up grid files is that multiple, prenamed pits can be run within Surface Mine Reserves, and the reporting can be formatted and expanded upon at the user's discretion, even dumped to Excel and Access. The various options within Surface Mine Reserves can be fine-tuned, such as recovery percentage, density and dilution. Furthermore, "grand totals" are obtained where the qualities and volumes/tonnages of beds A Upper and Lower are composited back into the total reserve values. (Indeed, this is the exact procedure used for multiple seams with interburden.)

Shown here is a formatted report for the single inclusion polygon representing the pit in our example. Slight differences in values versus "Selected Strata Quantities" is a function of the difference in gridding locations and cell sizes. With stored Geologic Model grids, quantities and qualities will be fully repeatable.

(2) Combinations of Several Seams Separated by Interburden

In the mining of stratified deposits it is very common to have several seams separated by interburden. Surface mines must consider the composite tonnage, composite strip ratio and composite quality in any reserve study or short-term mining plan. Two main issues come to mind—how deep to mine, and when to mine and remove interburden as if it were Key. Let's look at a coal deposit example. 

How Deep to Surface Mine
Strip ratios change as each lower seam is taken, and quantities of coal increase. The goal is to get as many lower seams as possible, but not so many that interburden thicknesses and strip ratios increase excessively, or quality degrades. Currently, about a 15:1 strip ratio approaches the maximum feasible ratio for cost-effective mining. Higher ratios do occur and will certainly occur if the market price of coal increases. Coals are said to "outcrop" at the surface, with "crop loss" referring to unmineable, "weathered" coal at the hillside edge. Usually the crop loss is around 12 to 15 feet measured vertically from the surface. It is often deeper in valleys or even small hillside ravines and "drains", due to accumulation of debris and erosion. On "points" or ridges, crop loss may be only 10 to 12 feet, particularly in hardrock conditions. The Surface Mine Reserves routine is designed for estimating reserves and includes a built-in crop loss parameter (measured vertically from the surface), appearing as "Min Depth to Use". Here is a graphic representing the crop loss on the side of a hill.

A conservative engineer or geologist would enter 15 feet to obtain a "low-ball" estimate. Someone looking aggressively for all the coal they could possibly obtain might enter 10 or 12 feet for the vertical crop loss. Be aware that with steep 1.5:1 hillside slopes, a 10' vertical crop loss translates to 15' measured horizontally from the hillside. In 3:1, gently sloping terrain, a 10' vertical crop loss translates to 30' measured horizontally from the hillside. If the natural terrain slopes on the order to 2:1 to 3:1 or more, it is reasonable to use a lower vertical crop loss value for "Min Depth to Use". The value used is strictly a judgment call and is ideally based on observations at the mine. There is no option to have a variable crop loss. That is best handled by defining a "Strata Limit Polyline". See the "OutCrops and SubCrops" case study. In many regions, shallow coals will "subcrop" as they hit an alluvial deposit or as it nears the surface and is decomposed due to oxidation and weathering. 

Another Example: Getting Composite Qualities
The Surface Mine Reserves command automatically computes composite qualities and strip ratios on all Key strata, providing "Calculate Strata Qualities" is selected in the dialog box (dialog shown earlier above). The low SULFUR and BTU values for OB and IB are not included in the composite quality for SULFUR and BTU. This is because OB and IB are not defined as KEY. When C1 and C2 are imported or placed in the drawing, they are defined as KEY strata. Alternately, the KEY designation can be assigned and changed using the command "Define Strata". Shown is a drillhole example of this dataset, and the composite KEY quality report.

By contrast, composite qualities can also be computed using the command "Selected Strata Quantities", but this routine will composite any selected strata, key or non-key. In our example, if all 4 beds are selected, the composite BTU is only 1245. All of the above calculations were based on screen-selection of the drillholes (not grid files), and use of Triangulation modeling. (Sulfur was not entered for Nonkey beds).

Partings: When to Mine and When to Waste
Drillholes 8 and 10 below have 2.5 and 1.8 feet of interburden, respectively, between coals C1 and C2. It makes sense to take the thin interburden with the coals, even though this will dilute some qualities (and maybe improve others). Surface Mine Reserves has an option called "Min Minable Parting Thickness" designed specifically for this purpose. The effect on qualities is also shown below. This result is obtained automatically by designating 2.0 feet as the "minimum minable parting thickness", meaning that any lesser thickness will not be separated as waste but will be included as coal.

To obtain interburden qualities and to factor them in to the composite quality, it was critical that qualities be associated with non-key strata. This is accomplished within the command "Define Drillhole" or a setting on the main Surface Mine Reserves screen for Fixed NonKey Qualities.

In our example, the interburden had a density set at 150 within Define Strata, and had BTU values in the 1000 range, and sulfur in the 0.5 range. The net effect of including the thin interburden was to improve sulfur and degrade BTU. If sulfur under 1.0% is the more critical value in meeting quality requirements, and less BTU is satisfactory, then the user could accept thicker interburden. Compare these quality values with the ones calculated above and see how the SULFUR is lower and the BTU is also lower, but still within spec. Just try several reserve runs to see what the parting thickness cut off can be.