Abstract

A finite element dual mesh method is developed to calculate the horizontal and vertical Darcy velocity components in a highly nonhomogeneous and anisotropic aquifer of constant porosity under steady flow conditions. The finite element method is used to calculate the total head distribution. The finite difference forms of the total head gradients are used to calculate the Darcy velocity components. It is shown that the dual mesh method is suitable for calculating the nodal Darcy velocities with acceptable accuracy. The continuity principle is satisfied to an acceptable degree. The results are compared with an analytical solution, and the agreement is excellent. The results are also compared with another method proposed by Gureghian (1981) and Yeh (1981), and it is observed that the agreement is reasonably good. The dual mesh method can be applied to any nonhomogeneous and anisotropic porous medium to calculate the nodal Darcy velocities.

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