An Efficient Solution for the Response of Electrical Well Logging Tools in a Complex Environment

An efficient method for computing the response of some electrical logging tools in a complex environment is presented. This complex environment consists of multiple geological beds with a borehole and invaded zones. The method uses local reflection and transmission operators of a single-bed boundary and a general recursive algorithm to derive generalized reflection and transmission operators. Using this method, the computation time scales linearly as N, where N is the number of beds in the environment. Hence the method is much more efficient than the finite-element method for solving the same problem. Furthermore, the solution is presented in a symmetric form so that reciprocity can be readily verified. © 1991 IEEE