Decline Curves of a Vertical Well in Stress-Sensitive Reservoir

Abstract:

Stress-sensitivity effects have been recognized to have impact on the pressure/rate transient behavior of wells in several reservoirs. Although the effects of stress-sensitivity have been considered in well testing theory in the past thirty years, little has been done to determine their influence on rate decline behavior. This paper presents a single phase flow model considering stress-sensitive formation permeability to investigate the characteristic of production rate decline of a vertical well. The stress-sensitive permeability is considered as an exponential form. The permeability changes with pressure drop are described by a permeability modulus. By introducing two pseudo functions, the equations of the mathematical model are linearized and approximate semi-analytical solutions are obtained. The analytical solutions are carefully verified through numerical simulation. Two sets of new decline type curves are diagramed on a log-log plot for constant rate case and constant bottomhole pressure case respectively. The influence of stress-sensitive permeability on decline curves are analyzed and compared. From this work, we recognized that the rate decline characteristics of stress-sensitive reservoir under constant rate and constant bottomhole producing condition are different. New analysis method should be developed to analyze field variable rate/variable pressure drop data.

• Periodical: Advanced Materials Research (Volume 772)
• Pages: 781-788
• DOI: https://doi.org/10.4028/www.scientific.net/AMR.772.781
• Online since: September 2013
• Authors: Zhang Zhang, Shun Li He, Hai Yong Zhang, Shao Yuan Mo, Shuai Li
• Keywords: Decline Curve, Permeability Modulus, Pseudopressure, Pseudotime, Stress-Sensitive Reservoir

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