The proposed work provides a new definition of the pressure derivative function [that is the ò-derivative
function, ÃÂp òd(t)], which is defined as the derivative of the logarithm of pressure drop data with respect to
the logarithm of time
This formulation is based on the "power-law" concept. This is not a trivial definition, but rather a
definition that provides a unique characterization of "power-law" flow regimes which are uniquely defined
by the ÃÂp òd(t) function [that is a constant ÃÂp òd(t) behavior].
The ÃÂp òd(t) function represents a new application of the traditional pressure derivative function, the
"power-law" differentiation method (that is computing the dln(ÃÂp)/dln(t) derivative) provides an accurate
and consistent mechanism for computing the primary pressure derivative (that is the Cartesian derivative,
dÃÂp/dt) as well as the "Bourdet" well testing derivative [that is the "semilog" derivative,
ÃÂpd(t)=dÃÂp/dln(t)]. The Cartesian and semilog derivatives can be extracted directly from the power-law
derivative (and vice-versa) using the definition given above.
Identifer | oai:union.ndltd.org:tamu.edu/oai:repository.tamu.edu:1969.1/4685 |
Date | 25 April 2007 |
Creators | Hosseinpour-Zoonozi, Nima |
Contributors | Blasingame, Thomas A. |
Publisher | Texas A&M University |
Source Sets | Texas A and M University |
Language | en_US |
Detected Language | English |
Type | Book, Thesis, Electronic Thesis, text |
Format | 13489665 bytes, electronic, application/pdf, born digital |
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