02-Buildup Testing and the Diagnostic Plot

# 02-Buildup Testing and the Diagnostic Plot - Buildup...

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Buildup Testing And The Diagnostic Plot 4 Horner defined the pseudoproducing time as the cumulative production divided by the last flow rate before shutin for a buildup test. This pseudoproducing time is then used to calculate the Horner time ratio (or the Agarwal equivalent time). The Horner approximation gives good results as long as the duration of the last constant rate flow period (t n-1 - t n-2 ) is at least 10 times the maximum shutin time analyzed during the buildup test. If the Horner approximation is used even though this rule is violated, the resulting pressure response may appear to be affected by boundaries, even for an infinite-acting system !
Buildup Testing And The Diagnostic Plot 5 Agarwal defined the multirate equivalent time as shown on this slide. Multirate equivalent time may also be defined for linear, bilinear, or spherical flow.

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Buildup Testing And The Diagnostic Plot 6 Bourdet, Ayoub, and Pirard defined the superposition time function as shown on the equation on this slide. They recommended calculating the pressure derivative for buildup tests as the derivative of the pressure with respect to the superposition time function, and plotting the result vs. the shutin time.
Buildup Testing And The Diagnostic Plot 7 We can rearrange the superposition time function as shown in the first equation. Then using the properties of the natural logarithm, we obtain the result shown in

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02-Buildup Testing and the Diagnostic Plot - Buildup...

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