THE EFFECTS OF RECHARGE ON FLOW NONUNIFORMITY AND MACRODISPERSION

The spatial, statistical structure of the fluid velocity field in the case of uniformly recharged heterogeneous aquifers is investigated, an d the spatial covariances of the velocity field are derived. This info rmation is necessary for an investigation of flow and macrodispersion using the Lagrangian formalism proposed by Dagan (1984). The resulting first two moments of the velocity are nonstationary. They are functio ns of a parameter beta which characterizes the degree of flow nonunifo rmity and is related to the recharge. The displacement variances are c omputed and tested favorably using numerical simulations. Simple relat ions are developed which relate the transport parameters found for the case of uniform-in-the-average flows to nonuniform flows using a simp le, nonlinear transformation of the travel time, based on beta.