Oil Well Testing Handbook

5.9: Variable-Rate Pressure Buildup Analysis

5.9 Variable-Rate Pressure Buildup Analysis

The pressure buildup behavior is described by


where t t n?1 = ?t, time after shut-in and q n?1 is the production rate just before shut-in. Eq. 5-84 is based on the fact that for t = t p1 + t P2 + +t pn?1 + (t ?t n?1) the reservoir is infinite-acting. The following analysis

procedure can be used. Plot p ws versus on ordinary (Cartesian coordinate) graph paper, where plotting function is


Determine the slope m of the plot and calculate the formation permeability by the equation


Calculate the skin factor s from the equation


The original reservoir pressure p i is the value of p ws on the MTR line extrapolated to = 0. Figure 5-22 shows the schematic representation of rate variation preceding a pressure buildup test.


Figure 5-22: Schematic representation of rate variation preceding a pressure buildup test
Example 5-14: Analyzing Variable-Rate Pressure Buildup Test

A variable-rate flow test was run on a well with the given properties. From these properties and the data in Tables 5-11 and 5-12, determine k, s,

( ?p) skin, p *, and flow efficiency. Well and reservoir data: depth = 5250 ft; average pressure = 3000 psi; ? 0 = 0.80 cP; ? 0 = 1.136 rb/stb; h = 11 ft; ? = 0.12; c t

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