Development and Application of the Multiwell Productivity Index (MPI)

Abstract

In this article we generalize the concept of the pseudosteady-state productivity index for the case of multiple wells producing from or injecting into a closed rectangular reservoir of constant thickness. The work complements the analytical study by Rodríguez and Cinco-Ley 1 for systems produced at constant flowing pressures. Wells are represented by fully penetrating vertical line sources located arbitrarily in a homogeneous and isotropic reservoir. The multiwell productivity index ͑MPI͒ is a square matrix of dimension n, where n is the number of wells. The MPI provides a simple, reasonably accurate and fast analytical tool to evaluate well performance without dividing the cluster into single-well drainage areas. The MPI approach is used to obtain approximate analytical solutions for constant ͑but possibly different͒ wellbore flowing pressures, and to visualize the resulting pressure field. In addition, the skin factor trace technique is introduced as a tool to monitor a cluster of wells. The MPI technique is illustrated using a synthetic example taken from Ref. 2, as well as two field cases.

Unified Fracture Design for very low permeability reservoirs

“…The description below is obtained from the previous applications (Daal and Economides, 2006;Romero et al, 2002;Valkó and Economides, 1998;Valkó et al, 2000). Calculations are done on a quarter of the fracture and drainage area zone due to the symmetric nature of the fracture and reservoir system.…”

Analysis of Injection and Production Data for Open and Large Reservoirs

“…Drawdown is defined as the difference of the well and volumetric average pressures. By defining the MPI, Valkó et al [10] extended the productivity index concept to systems with multiple producing wells:…”

A Novel Method for Performance Analysis of Compartmentalized Reservoirs

“…To the authors' best knowledge, no analytical model is available in the literature that discusses the constant-pressure production of compartmentalized systems, and that can be used for long-term production forecasting. The mathematical simplification described in this paper has the same spirit as the work documented by many authors attempting to replace a complex reservoir model by a simpler equivalent "upscaled" system (Valko et al, 2000;Kaviani et al, 2008;Sayarpour et al, 2008;Yousef et al, 2009;Noetinger, 2015).…”