TABLE OF CONTENTS Mariush W. Kemblowki and Gilberto E. Urroz
Utah Water Research Laboratory
Utah State University
Logan, Utah
This chapter begins with the mathematical description of the constitutive relationships for flow and transport in porous media. Following this, simple analytical solutions are presented for a variety of subsurface flow and transport problems. The principles of flow and transport are outlined, and solutions are provided for practical problems of flow and transport in both the saturated and the unsaturated zones. The latter includes problems of transport in the vapor phase. The major focus is on the processes that are relevant to subsurface mitigation.
This section presents the basic concepts and laws used to describe flow and transport in the subsurface. In particular, the constitutive relationships defining the fluid flow in fully and partially saturated media are given as well as the relationships that describe diffusive and dispersive mass fluxes in porous media. Finally, we show the relations used to describe partitioning of chemicals in the subsurface environment.
Consider the flow of a fluid through a pipe filled with a granular material, as shown in Fig. 4.1. In the figure, z 1 and z 2 represent the elevations of the pipe centerline above a reference level at Sections 1 and 2, respectively, whereas p 1/ ? and p 2/ ? represent the water pressure head at Sections 1 and 2, respectively. We define the piezometric head at any location...
