Solution to Exercise 11

William W. Woessner; Eileen P. Poeter

Solution to Exercise 11

11) Write the governing equation that describes two-dimensional (x and y), steady-state flow in a confined anisotropic and homogenous aquifer.

This can be generated using Equation 68 in this book.

$\displaystyle S_s\frac{\partial h}{\partial t}\ =\ K_x\frac{\partial^2h}{\partial x^2}+K_y\frac{\partial^2h}{\partial y^2}+K_z\frac{\partial^2h}{\partial z^2}$

This equation describes three-dimensional flow in a confined aquifer under transient, anisotropic and homogenous conditions. To generate the equation for steady state in two dimensions, set the left-hand side to zero and eliminate the z term.

$\displaystyle 0 =\ K_x\frac{\partial^2h}{\partial x^2}+K_y\frac{\partial^2h}{\partial y^2}$

Return to Exercise 11

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