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Unit Four - Drilling Methods
2. Ore Deposits
Lab Activity
Objectives:
Create a block
model for a slab-shaped ore deposit and use drilling data to calculate
the volume (tonnage) and grade of the deposit.
Materials:
-
Plastic terrarium
-
Mortar sand (2.5 gallons) and colored terrarium sand (1/2 gallon)
- 7/16
“ or ½ “ Thin wall, rigid, clear plastic tubing,
cut to a length of 15”
-
Plastic beaker.
-
Water
-
Graph paper
-
Black fine Sharpie
-
C-thru plastic ruler w/1/10 “ scale
Procedure:
Teacher must create the
model of an underground ore deposit in advance, as follows:
-
Fill the
terrarium approximately 3 “ deep with mortar sand. Add
enough water to just saturate the sand. Shape the top surface
of the mortar sand so it slopes about 30 – 40 o.
-
In a
plastic beaker measure 4 cups of colored sand. Note the exact
volume, and convert this to cubic inches. Saturate the colored
sand with water.
-
Make a
layer of wet colored sand, approximately 0.5 to 1.5 inches thick,
and approximately 6 inches wide x 9 inches long. Form
the colored sand layer on top of the mortar sand, making the layer
slanted and somewhat irregular in shape, but generally tabular.
Make one edge visible on one of the long sides of the terrarium.
-
Cover
the colored sand with mortar sand 2 to 4 inches thick, so the top
surface is flat and approximately 8 inches above the floor of
the terrarium.
-
Carefully
add more water in the corner area to completely saturate the sand
at the top surface.
Students will complete
two drill lines, and construct two drill sections, to illustrate the
deposit:
-
Make a
slight groove in the sand for each of the drill lines. Make
the two dill lines parallel to each other and to the sides of the
terrarium, and spaced approximately 3 inches apart. Make each
line 12 inches long, and label the drill lines A – A’
and B – B’.
-
Starting
at the bottom end of the tube, make black marks every inch, for seven
inches. Label the first mark, near the center of the tube,
“0”. The next mark below this will be labeled 100
ft. Continue labeling the rest of the marks to the “700 ft”
at the bottom of the tube. The scale will represent depth (in
feet) below the surface.
-
Drill
holes will be drilled at the 3”, the 6” and
the 9” positions on each drill line. Drill the first drill
hole at the 3” mark on Line A – A’. Drill
a vertical hole by carefully pushing the tube down, until the
“0” mark on the tube matches the upper level of the sand.
-
Place
your thumb over the end of the tube to seal it from leaking air.
Pull the tube up and completely remove it from the sand. Continue
to hold your thumb on the end of the tube to keep the sand from falling
out of the tube.
-
Note the
intercepts (in feet) for the upper and lower contacts of the “ore
zone”, and write them on Answer Sheet AS18.. Draw the
drill hole on the drill section for Line A – A’ (Answer
AS16), by drawing a vertical line 7” long, starting at
the drill collar location shown for DH1. Show the intercepts
for the ore horizon on the drill hole using a heavy black line.
-
Drill
another drill hole at the 6 inch mark on Line A – A’ using
the same technique. Note the intercepts. Draw the vertical
drill hole at the location for DH2, and highlight the intercept.
-
Follow
the same procedure for DH3, which will be at the 9 inch mark on Line
A – A’.
-
Sketch
lines between the drill holes to connect the intercepts across the
space between the drillholes. Draw a vertical line halfway between
DH1 and DH2 to indicate the boundary between Block 1 and Block
2. Draw another vertical line halfway between DH2 and DH3 to
indicate the boundary between Block 2 and Block 3.
-
Drill
holes along Line B – B’ at the 3”, 6” and
9” marks, and note the intercepts on the drill section
for Line B – B’ (Answer Sheet AS17).
-
Connect
the intercepts between the drill holes on Line B – B’,
and draw vertical lines to show the boundaries between the blocks.
Calculate the volume
for six blocks centered by the six drill holes:
-
Block
1 is centered by DH1. The thickness of the block can be measured
on the drill section.The area of influence of the drill hole is 1.5
inches. This means that Block 1 has a width of 3” and
a length of 3”, and is centered on DH1 (at the 3” mark).
-
The scale
of the model is 1 “ = 100 ft. The area of the block is
3 “ x 3 “, or 9 square inches, or 900 square feet.
Multiply the thickness of Block 1 times 900 to determine the volume
of Block 1 (in cubic feet). Write the answer in the space on
Answer Sheet AS18.
-
Follow
the same procedure to determine the volumes of the rest of the blocks,
and write the volumes in the spaces on Answer Sheet AS18.
-
Determine
the total volume by adding the volumes for the individual blocks.
Compare this volume with the volume of the sand which was measured
by your teacher.
Calculate the total
tonnage for the gold ore deposit:
-
The tonnage
factor is 12 cubic feet per ton. Divide the volume by 12 to
determine the total tonnage for Block 1, and write the answer in the
space on Answer Sheet AS18.
-
Follow
the same procedure to calculate the tonnages for the rest of the blocks.
-
Add up
the tonnages for the six ore blocks, and write it in the space on
Answer Sheet AS18.
Calculate the “weighted
average” grade of the gold ore deposit:
-
Multiply
the grade x tonnage for each block. Write the results on Answer
Sheet AS18.
-
Sum the
results you obtain in the space indicated on Answer Sheet AS18.
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Divide
the sum by the total tonnage. The result is the weighted average
grade.
Calculate the “resource”
for the gold ore deposit:
-
The “resource”
is the total amount of a commodity in an ore deposit. For a
gold deposit, the “resource” is a statement of the
total amount of ounces contained within the deposit. Multiply
the weighted average grade times the total tonnage. The result
is an estimate of the total amount of contained ounces of gold in
the deposit.
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