Similarity solution of axisymmetric flow in porous media
Applications of the axisymmetric Boussinesq equation to groundwater hydrology and reservoir engineering have long been recognised. An archetypal example is invasion by drilling fluid into a permeable bed where there is initially no such fluid present, a circumstance of some importance in the oil industry. It is well known that the governing Boussinesq model can be reduced to a nonlinear ordinary differential equation using a similarity variable, a transformation that is valid for a certain time-dependent flux at the origin. Here, a new analytical approximation is obtained for this case. The new solution, which has a simple form, is demonstrated to be highly accurate.
Keywords: Drilling mud invasion ; Density-dependent flow ; Groundwater pumping ; Axisymmetric flow ; Sparging ; Watertable fluctuations ; Boussinesq equation ; Coastal aquifers ; Hillslope ; Recharge ; Soil ; BOUSSINESQ EQUATION
Record created on 2007-03-13, modified on 2016-08-08