ABSTRACT
There are. new theories of flow and transport in multiple scale random fields have been developed. Most of the stochastic theories and applications do not take into account the geometrical architecture of the underground reservoir. This chapter focuses on the influence of discrete (Markovian), continuous (Gaussian) and compound (Markovian-Gaussian) heterogeneity on flow and transport behaviour. The purpose of numerical experiments is to investigate some aspects of transport processes in physically plausible heterogeneous structures and to compare results with analytical solutions for some special cases. The experimental programme contains the realization of heterogeneous fields generated by various methods and the solution of flow and transport in these fields. The computer-programmes GEOSIM1 and GEOSIM2 are developed based on the Markovian heterogeneity model. The turning bands method has been programmed in a code called ‘TBG’ and used to generate a log-normally stationary two-dimensional hydraulic conductivity field with a prescribed mean, variance and exponential autocovariance function.
