Abstract
The difficulties associated with simulating and characterizing three-dimensional groundwater flow and chemical species transport are examined. First, the local volume averaged. equations governing momentum transfer and chemical species transport are presented. After reviewing the ill-posedness of various inverse techniques, methods for defining the functions that represent the unknown properties, for formulating the objective function, and for optimizing the solution are discussed. Finally a numerical study using realistic field scale measurements is presented and solved to illustrate the implementation of these techniques.. This study uses B-splines to represent the unknown soil properties. The minimization is accomplished using a Broyden-Fletcher-Goldfarb-Shanno (BFGS) quasi-Newton method with gradient information being provided by the adjoint state method. The effect of identiflability on the solution of the characterization procedure is studied. Regularization and Bayesian techniques are introduced as two ways to overcome some of the problems associated with the ill-posedness of the characterization procedure.
Hollenshead, Jeromy Todd (1995). Characterizing three-dimensional groundwater flow and transport. Master's thesis, Texas A&M University. Available electronically from
https : / /hdl .handle .net /1969 .1 /ETD -TAMU -1995 -THESIS -H646.