Reactive Transport and Immiscible Flow in Geological Media. I. General Theory

摘要: Steady flow of incompressible fluids takes place in geological formations spatially variable permeability. The permeability is regarded as a stationary random space function (RSF) given statistical moments. fluid carries reactive solutes and we consider, for illustration purposes, two types reactions: nonlinear equilibrium sorption single species mineral dissolution (linear kinetics). In addition, analyse the problem horizontal immiscible (the Buckley-Leverett flow). We consider injection at constant concentration semi-infinite domain initial neglect effect pore scale dispersion. field-scale transport consists characterizing an erratic plume, or displacement front, emanating from source area along distinct paths. Reactive three-dimensional paths transformed to one-dimensional Lagrangian-Eulerian ($\tau $, t), where $\tau $ residence time t real time. Due nonlinearity, discontinuities (shock waves) path may develop. Close form solutions are obtained expected values spatial temporal moments nonlinearly reacting solute fluids. These results generalize previous linearly (Cvetkovic & Dagan 1994). general illustrated discussed part II.