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Special Topics & Reviews in Porous Media: An International Journal
ESCI SJR: 0.376 SNIP: 0.466 CiteScore™: 0.83

ISSN Imprimir: 2151-4798
ISSN En Línea: 2151-562X

Special Topics & Reviews in Porous Media: An International Journal

DOI: 10.1615/SpecialTopicsRevPorousMedia.v3.i4.10
pages 297-306

PRODUCTIVITY EQUATIONS FOR A MULTIPLE-WELL SYSTEM IN CIRCULAR AND RECTANGULAR RESERVOIRS

Jing Lu
Department of Petroleum Engineering, Khalifa University of Science and Technology, Abu Dhabi, UAE
Shawket Ghedan
Computer Modeling Group, Ltd., Calgary T2M 3Y7, Alberta, Canada
Djebbar Tiab
Mewbourne School of Petroleum and Geological Engineering, University of Oklahoma, Norman, Oklahoma 73019, USA

SINOPSIS

Currently, in the oil industry the productivity equations for a single well are erroneously used in all reservoir systems, regardless of the interference effects on the flow rates of different wells in the same drainage domain. This paper presents steady-state and pseudo-steady-state productivity equations of a multiple-well system in circular or rectangular reservoirs. The proposed equations, which relate the production rate vector to the pressure drawdown vector, provide fast analytical tools to evaluate the performance of multiple wells that are located arbitrarily in a circular or rectangular reservoir. The analytical solutions are verified with reservoir numerical simulation in two examples. The analytical solutions perform well and match well with numerical solutions. It is concluded that, for a given number of wells, the reservoir boundary conditions and skin factor have significant effects on the single-well productivity and total productivity of the multiple-well system. The proposed equations provide fast analytical tools to evaluate the performance of a multiple-well system.


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