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lab10_03 - The University of Iowa Department of Civil...

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The University of Iowa Department of Civil & Environmental Engineering Fall Semester, 2002 53:030 Soil Mechanics Lab Experiment No. 10: Consolidation Computations Using a FEM Code A. Objective In this laboratory assignment, a finite element program will be used to compute the two-dimensional pore pressure distribution and the two-dimensional elastic consolidation settlements that occur beneath a foundation loading on a soil. While this problem could be treated approximately using one-dimensional models, the objective of this lab assignment is to briefly demonstrate how these problems can also be solved using computer based methods. (In subsequent courses, especially 53:133, you’ll have the opportunity to learn more about how these computer based methods actually work.) The specific problem to be addressed in this lab is shown in Figure 1 of this handout. For the geometry and loading conditions shown, the program solves for equilibrium of both the soil skeleton (1) and the pore fluid (2): [ (1 ) 1 ] ( ) = dry g (1) ( ) + ( ) = g (2) where: is the velocity of the soil skeleton; is the velocity of the pore fluid; is the soil resistivity tensor (inverse of permeability); discharge velocity vector, dry is the dry density of the soil skeleton; is the density of the pore fluid; is the soil permeability; are the soil effective stresses; is the fluid pressure; and g is the gravity body force per unit mass acting on both the fluid and the solid phases. For simplicity in this problem, we will assume that the soil skeleton
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