Radial Flow of Slightly Compressible Fluids, Steady State

Equation (8.3) is again used to express the volume dependence on pressure for slightly compressible fluids. If this equation is substituted into the radial form of Darcy’s law, the following is obtained:

Separating the variables, assuming a constant compressibility over the entire pressure drop, and integrating over the length of the porous medium,