Consolidation of Porous Media with Non-Darcy Flowby James D. Schmidt, Member of Technical Staff; Hughes Aircraft Co., Culver City, CA,
Russell A. Westmann, (M.ASCE), Assoc. Prof.; Mech. and Struct. Dept, School of Engrg. and Appl. Sci., Univ. of California, Los Angeles, CA,
Serial Information: Journal of the Engineering Mechanics Division, 1973, Vol. 99, Issue 6, Pg. 1201-1216
Document Type: Journal Paper
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.
Subject Headings: Porous media flow | Parameters (statistics) | Fluid flow | One-dimensional flow | Nonlinear analysis | Moment (mechanics) | Boundary value problem | Nonlinear waves
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