Lk. Forbes et al., FLOW-FIELDS ASSOCIATED WITH IN-SITU MINERAL LEACHING, Journal of the Australian Mathematical Society. Series B. Applied mathematics, 36, 1994, pp. 133-151
A simple model for underground mineral leaching is considered, in whic
h liquor is injected into the rock at one point and retrieved from the
rock by being pumped out at another point. In its passage through the
rock, the liquor dissolves some of the ore of interest, and this is t
herefore recovered in solution. When the injection and recovery points
lie on a vertical line, the region of wetted rock forms an axi-symmet
ric plume, the surface of which is a free boundary. We present an accu
rate numerical method for the solution of the problem, and obtain esti
mates for the maximum possible recovery rate of the liquor, as a fract
ion of the injected flow rate. Limiting cases are discussed, and other
geometries for fluid recovery are considered.