Applications of Convolution and Deconvolution to Transient Well Tests

Abstract

Summary: This paper presents the application of convolution and deconvolution interpretation methods. Two well-test field examples, interpreted with these methods, suggest that the downhole flow rate is crucial for system identification and parameter estimation and that the wellbore volume below the pressure gauge and flowmeter must be taken into account. A new generalized rate-convolution method is presented to obtain the reservoir pressure. This new method gives better results than both the Horner and modified Horner methods. A new formula also is presented to determine the vertical permeability for partially penetrated wells.