The analysis/interpretation of wellbore storage distorted pressure transient test data remains one of themost significant challenges in well test analysis. Deconvolution (i.e., the "conversion" of a variable-ratedistorted pressure profile into the pressure profile for an equivalent constant rate production sequence) hasbeen in limited use as a "conversion" mechanism for the last 25 years. Unfortunately, standard deconvolutiontechniques require accurate measurements of flow-rate and pressure ?????? at downhole (or sandface)conditions. While accurate pressure measurements are commonplace, the measurement of sandface flowratesis rare, essentially non-existent in practice.As such, the "deconvolution" of wellbore storage distorted pressure test data is problematic.In theory, this process is possible, but in practice, without accurate measurements of flowrates, thisprocess can not be employed. In this work we provide explicit (direct) deconvolution of wellbore storagedistorted pressure test data using only those pressure data. The underlying equations associated with eachdeconvolution scheme are derived in the Appendices and implemented via a computational module.The value of this work is that we provide explicit tools for the analysis of wellbore storage distortedpressure data; specifically, we utilize the following techniques:* Russell method (1966) (very approximate approach),* "Beta" deconvolution (1950s and 1980s),* "Material Balance" deconvolution (1990s).Each method has been validated using both synthetic data and literature field cases and each methodshould be considered valid for practical applications.Our primary technical contribution in this work is the adaptation of various deconvolution methods for theexplicit analysis of an arbitrary set of pressure transient test data which are distorted by wellbore storage?????? without the requirement of having measured sandface flowrates.
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