13.08.2013 Views

Rock Mechanics.pdf - Mining and Blasting

Rock Mechanics.pdf - Mining and Blasting

Rock Mechanics.pdf - Mining and Blasting

SHOW MORE
SHOW LESS

Create successful ePaper yourself

Turn your PDF publications into a flip-book with our unique Google optimized e-Paper software.

PILLAR SUPPORTED MINING METHODS<br />

Panel pillars in a yielding mine structure are designed to provide locally resilient<br />

support for rock in the periphery of mine excavations. Thus, room <strong>and</strong> stope spans can<br />

be designed on the same principles as applied in a conventional design. The potential<br />

for pillar yield can be assessed directly from the rock mass properties which control<br />

stable post-peak behaviour. These have been described in section 10.7. The design<br />

of the panel pillars must take account of the global stability of the structure, using<br />

the techniques discussed previously. Finally, since the ultimate load-bearing capacity<br />

of a yielding structure resides in the barrier pillars, these must be designed to be of<br />

virtually infinite strength. This implies that the barrier pillars each have a sufficient<br />

width/height ratio to create a central core of confined rock capable of sustaining the<br />

load shed by the yielding panel pillars. The design of such a pillar is best accomplished<br />

using a finite element or finite difference code, so that local yield in the barrier pillar<br />

can be incorporated explicitly in the design analysis.<br />

Problems<br />

1 A horizontal stratiform orebody at a depth of 150 m below ground surface is<br />

planned for extraction using 6.0 m room spans <strong>and</strong> pillars 7.0 m square in plan. The<br />

full stratigraphic thickness of 3 m is to be mined. The unit weight of the overburden<br />

rock is 22.5 kN m −3 . Analysis of pillar failures in the orebody indicates that pillar<br />

strength is defined by<br />

S = 10.44h −0.7 w 0.5<br />

p<br />

where S is in MPa, <strong>and</strong> pillar height h <strong>and</strong> width wp are in m.<br />

Determine the factor of safety against compressive failure of pillars in the planned<br />

layout. If the factor of safety is inadequate, propose a mining layout which will achieve<br />

a maximum volume extraction ratio, for a selected factor of safety of 1.6. State the<br />

assumption made in this calculation.<br />

2 A flat-lying coal seam 3 m thick <strong>and</strong> 75 m below ground surface has been mined<br />

with 5.0 m rooms <strong>and</strong> 7.0 m square pillars, over the lower 2.2 m of the seam. Determine<br />

the factor of safety of the pillars, <strong>and</strong> assess the feasibility of stripping an extra 0.6 m<br />

of coal from the roof. The strength of the square pillars, of width wp <strong>and</strong> height h,is<br />

given by<br />

S = 7.5h −0.66 w 0.46<br />

p<br />

where S is in MPa, <strong>and</strong> h <strong>and</strong> wp are in m.<br />

The unit weight of the overburden rock is 25 kN m −3 .<br />

3 The orebody described in Problem 1 above is underlain by a clay shale, for which<br />

c = 1.2 MPa, = 28◦ , <strong>and</strong> = 22 kN m−3 . If the mining layout is based on 6.0 m<br />

room spans <strong>and</strong> pillars 10.0 m square in plan, determine the factor of safety against<br />

bearing capacity failure of the floor rock.<br />

4 A pillar with a width/height ratio of 1.2 is to be subjected to stress levels exceeding<br />

the peak rock mass strength. For the elastic range, it is calculated that the pillar<br />

stiffness, , is20GNm−1 . The ratio ′ / varies with the width/height ratio of the<br />

406

Hooray! Your file is uploaded and ready to be published.

Saved successfully!

Ooh no, something went wrong!