Domain Decomposition Algorithm and Analytical Simulation of Coupled Flow in Reservoir / Well System

A model and analytical method for solving a problem of coupled fluid flow in the reservoir/well system is presented. The 3-D drainage area is composed of three connected media: the tubing, the annuli (considered as a super conducting collector), and the reservoir itself. To couple the fluid flows in these areas a non-overlapping Dirichlet-Neumann domain decomposition method is developed theoretically and tested numerically. The method allows to build an analytical hybrid simulator for accurate evaluation of the impact of the main geometrical and hydrodynamic parameters of the 3-D system on the pressure drop along the horizontal well and on its production index.