< Return to results listing

New Semi-Analytical Solutions for Multilayer Reservoirs (SPE 114946)

This paper presents the development, validation, and application of new approximate (semi-analytical) solutions for the wellbore pressure and fractional flowrate responses of commingled layered reservoirs — without interlayer crossflow (crossflow is only permitted in the wellbore, not in the reservoir).  These formulations use "basis" pressure drop relations for each layer as a mechanism to create multilayer solutions in the Laplace domain — and due to the choice of these basis relations; the formulation can be analytically inverted into the real domain.  This process provides a direct (albeit approximate) solution for multilayer reservoir systems.  The basis relations include a "constant" pressure case and "linear" pressure case.  In addition to these methods, we also provide a "Total Pressure/Rate Averaging" (TPRA) formulation which is used to provide an average rate and pressure response for each layer. These semi-analytical solutions can be used to construct well test or production profiles in a simple computational environment (e.g., a spreadsheet).  These solutions can also be used to diagnose well test and production data in terms of layered reservoir behavior.  The "linear" pressure case (non-zero intercept) gives the best performance — however, from a practical standpoint, the algebra involved limits this approach to 2-layer reservoir case.  The TPRA formulation is very consistent, but not as accurate as the other solutions — however; the TPRA formulation is easily be extended to n-layers.

Author(s): E.P. Lolon; StrataGen Engineering, D. Ilk and T.A. Blasingame; Texas A&M University, R.A. Archer; University of Auckland

Paper Number: SPE 114946

URL: https://www.onepetro.org/conference-paper/SPE-114946-MS


Stay connected with technology updates and news.