Approximate solutions for flow of oil heated using microwaves

This paper describes development of a model of oil flow when microwave technology is used to heat the reservoir. Since this model presents a highly complex problem, the solutions are given with two levels of simplification. First, the problem is solved numerically. Further simplification of the problem yields a form that can be solved analytically. Procedure to use the simplified analytical solution to gain insight into the more completed solution has been presented. The numerical solution is presented for cases in which heat loss into the adjacent strata has been considered as well as for cases in which the heat loss has been ignored.