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POWER-LAW FLUID PRESSURE BEHAVIOR IN HOMOGENOUS RESERVOIR WITH SPHERICAL FLOW

Volumen 5, Edición 3, 2014, pp. 233-249
DOI: 10.1615/SpecialTopicsRevPorousMedia.v5.i3.40
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SINOPSIS

Studies have revealed most wells are usually completed with limited or restrictedentry and it isoften characterized with spherical flow behavior. High-viscosity crude by itsnature may exhibit non-Newtonian flow behavior. A fall-off test in a polymer injection well with partial completion may also exhibit spherical flow. We therefore present pressure transient analysis for spherical flow behavior of non-Newtonian power-law fluids in a homogenous reservoir. We incorporate the kin and wellbore storage effect into the Laplacian space analytical solution derived by Liu (Liu, C.-q., Appl. Math. Mech., vol. 9, no. 6, pp. 521−525, 1988). New pressure-type and pressure-derivative−type curves are developed for the different flow behavior index of power-law fluids in homogenous reservoirs. The log-log plot of the pressure derivative for the homogenous system gives a slopeof −0.5 at the spherical flow straight line, as expected for Newtonian fluid flow in a porous medium; whereas, the slope of non-Newtonian fluid at the spherical flow regime is a function of its flow behavior index. We further develops equations to estimate reservoir, wellbore, and power-law flow parameters using type curve matching and Tiab'sdirect synthesis technique, which uses an analytical solution of a longtime approximation in evaluating well test data from the log-log plot of the pressure and pressure derivative.

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