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1 Well Testing Analysis - Elsevier.com

1 Well y Reser voir Characteristics1 Flow Equations1 Well Testing1 Cur ves1 Derivative Method1 and Pulse Tests1 Well Testing1/1331/2 WELL Testing Primary Reservoir CharacteristicsFlow in porous media is a ver y complex phenomenon andcannot be described as explicitly as flow through pipes orconduits. It is rather easy to measure the length and diam-eter of a pipe and compute its flow capacity as a function ofpressure; however, in porous media flow is different in thatthere are no clear-cut flow paths which lend themselves Analysis of fluid flow in porous media has evolvedthroughout the years along two fronts: the experimental andthe analytical. Physicists, engineers, hydrologists, and thelike have examined experimentally the behavior of variousfluids as they flow through porous media ranging from sandpacks to fused Pyrex glass. On the basis of their analyses,they have attempted to formulate laws and correlations thatcan then be utilized to make analytical predictions for main objective of this chapter is to present the math-ematical relationships that are designed to describe the flowbehavior of the reser voir fluids.

The exponential ex may be represented by a series expan-sion as: ex = 1 +x + x 2 2! + x 3! +···+ xn n! [1.1.4] Because the exponent x (which represents the term c (p ref −p)) is very small, the ex term can be approximated by truncating Equation 1.1.4 to: ex = 1 +x [1.1.5] Combining Equation 1.1.5 with 1.1.3 gives: V = V ref[1 +c(p ref −p ...

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