An iterative Galerkin-type finite element method is employed to solve the quasilinear equations of nonsteady water flow in unsaturated and partly-saturated porous media. The parameters in these equations as well as the boundary conditions along seepage faces are highly nonlinear functions of the dependent variable. The finite element method appears to be computationally more efficient than the conventional finite difference approach in overcoming difficulties arising from the nonlinear nature of the problem. Experience with the finite element algorithm shows that convergence is often near quadratic. This algorithm is capable of handling flow in nonuniform soils having complex boundaries, arbitrary anisotropy, and an unlimited number of seepage faces. Flow to a fully or partially penetrating well of a finite diameter, taking into account well storage as well as pump characteristics, can also be treated.
|Original language||English (US)|
|Number of pages||6|
|State||Published - 1974|
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