Simulation of Saturated-Unsaturated Deformable Porous Media

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Description

A multiphase consolidation theory is presented which considers a three-dimensional deformation field coupled with a three-dimensional hydrologic flow field. The governing system of equations describes the components of displacement, the fluid pressures and the saturations. The system of equations governing saturated-unsaturated consolidation is obtained as a subset of the above equations. A mixed stress-displacement formulation of the governing equations is introduced, and it facilitates handling of load type boundary conditions while solutions in terms of displacements are still possible. Finite element Galerkin theory is used for spatial approximations, and a weighted implicit finite difference time-stepping scheme is employed to approximate ... continued below

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188-191

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Safai, Nader M. & Pinder, George F. December 14, 1977.

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Description

A multiphase consolidation theory is presented which considers a three-dimensional deformation field coupled with a three-dimensional hydrologic flow field. The governing system of equations describes the components of displacement, the fluid pressures and the saturations. The system of equations governing saturated-unsaturated consolidation is obtained as a subset of the above equations. A mixed stress-displacement formulation of the governing equations is introduced, and it facilitates handling of load type boundary conditions while solutions in terms of displacements are still possible. Finite element Galerkin theory is used for spatial approximations, and a weighted implicit finite difference time-stepping scheme is employed to approximate the time derivative terms. Due to the nonlinear nature of the problem, an iterative solution scheme is necessary within each time step. The model predicts the commonly ignored horizontal displacements in a variably saturated system undergoing simultaneous desaturation and deformation, while using a completely interconnected coupling of the stress and pressure fields within the medium. The model is applied to obtain vertical and horizontal displacements, pressure (head) and saturation values due to pumpage in a phreatic aquifer. 1 tab., 10 figs., 13 refs.

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188-191

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  • Proceedings, Third Workshop Geothermal Reservoir Engineering, Stanford University, Stanford, CA, Dec. 14-15, 1977

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  • Report No.: SGP-TR-25-29
  • Grant Number: None
  • Office of Scientific & Technical Information Report Number: 888881
  • Archival Resource Key: ark:/67531/metadc885239

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  • December 14, 1977

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  • Sept. 21, 2016, 2:29 a.m.

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  • Dec. 7, 2016, 9:16 p.m.

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Safai, Nader M. & Pinder, George F. Simulation of Saturated-Unsaturated Deformable Porous Media, article, December 14, 1977; United States. (digital.library.unt.edu/ark:/67531/metadc885239/: accessed September 22, 2017), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.