Consolidation of Porous Media with Non-Darcy Flow

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Abstract
A nonlinear quasi-static theory of one-dimensional consolidation accounting for non-Darcy fluid flow is presented. A specific boundary value problem is examined with the physics being examined in detail. Using a similarity variable, an exact early-time solution is developed. An approximate long-time solution is obtained by assuming a trial solution and minimizing the residual error by the method of moments. The two solutions are then matched at intermediate values to give the settlements for all times. For one range of the nonlinearity parameter, the solution exhibits a wave type phenomenon. A finite consolidation time is demonstrated to exist for another range of the nonlinearity parameter.

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