NUEVA METODOLOGÍA PARA MODELAR POZOS HORIZONTALES EN YACIMIENTOS PETROLÍFEROS MEDIANTE FUNCIONES GENERALIZADAS.

A new methodology for assessing the transient behavior of pressure generated by horizontal or tortuous wells in a petroleum reservoir is presented. Wells are explicitly represented in the diffusivity equation by a generalized function. For validation purposes, this mathematical, implicit model for measuring pressure is solved both analytically and numerically. While the analytical solution does match the Babu and Odeh (1989, 1994) proposal for horizontal wells, it is obtained by different mathematical methods. A new technique is submitted for the numerical solution that combines the Green’s function approach, and removing singularities methods with traditional fmite elements or differences schemes. This new computational approach yields square convergence in coarse gridls for 20 cases and very satisfactory results on 30 cases. The major contributions from this numerical method are its independence from the types of grid used in connection with the well’s geometric shape; flexibility to model horizontal well trajectorie’s of arbitrary geometry, and its applicability to arbitrary shaped reservoirs, as shown in the studied cases. [ABSTRACT FROM AUTHOR]