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Terzaghi’s 1D Consolidation Theory

Terzaghi’s 1D Consolidation Theory. Maggie Parks 11/28/12 EPS 109 Final Project. Source: Holtz, Kovacs, Sheahan , Geotechnical Engineering. Example of a Consolidation Problem.

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Terzaghi’s 1D Consolidation Theory

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  1. Terzaghi’s 1D Consolidation Theory Maggie Parks 11/28/12 EPS 109 Final Project Source: Holtz, Kovacs, Sheahan, Geotechnical Engineering

  2. Example of a Consolidation Problem

  3. Terzaghi 1D ConsolThSecond-order partial differential equationCommonly solved with a finite difference approximation, then charts and spreadsheets Source: Holtz, Kovacs, Sheahan, Geotechnical Engineering

  4. Assumptions:1. Clay is saturated and homogeneous2. Doubly drained3. Darcy’s law applies4. Soil and water is incompressible5. Flow is 1D6. Small Strains7. Linear relationship between volume change and effective stress

  5. Chart Solution PDE Solution Pore Pressure DissipationRun “Terzaghi_pp.m” Source: Holtz, Kovacs, Sheahan, Geotechnical Engineering

  6. Based on Chart Solution Based on PDE Code Pore pressure dissipation leads to increase in effective stressRun “Terzaghi_layers.m” Source: Holtz, Kovacs, Sheahan, Geotechnical Engineering

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