NONLOCAL REACTIVE TRANSPORT WITH PHYSICAL, CHEMICAL, AND BIOLOGICAL HETEROGENEITY

When a natural porous medium is viewed from an eulerian perspective, i ncomplete characterization of the hydraulic conductivity, chemical rea ctivity, and biological activity leads to nonlocal constitutive theori es, irrespective of whether the medium has evolving heterogeneity with fluctuations over all scales. Within this framework a constitutive th eory involving nonlocal dispersive and convective Fluxes and nonlocal sources/sinks is developed for chemicals undergoing random linear none quilibrium reactions and random equilibrium first-order decay in a ran dom conductivity field. The resulting transport equations are solved e xactly in Fourier-Laplace space and then numerically inverted to real space. Mean concentration contours and various spatial moments are pre sented graphically for several covariance structures. (C) 1997 Publish ed by Elsevier Science Ltd.