ABSTRACT
This chapter investigates the hydrodynamics of flow in approximate geological structures characterized by a coupled Markov chain model. It aims to study Markovian fields. The flow simulation procedure by coupled Markov chain model involves the following steps: data collection, statistical inferences, geological simulation, geological judgement, parameter assignation, and flow simulator. Conductivity of saturated flow in heterogeneous medium may be described macroscopically through the effective conductivity, defined as, the global hydraulic conductivity of a homogeneous sample that has the same discharge rate as the heterogeneous sample. Monte-Carlo analysis relies on repetitive generation of replica of hydrogeological parameters and subsequent solution of the set of deterministic flow problems. A Monte-Carlo approach has been followed to perform some numerical experiments to estimate the effective conductivity. The geological structure used in the experiments is in the form of horizontal stratifications and inclined bedding with long extensions and relatively small thicknesses.
