Development of the beta-pressure derivative
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The proposed work provides a new definition of the pressure derivative function [that is the ÃÂ²-derivative function, ÃÂp ÃÂ²d(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 ÃÂ²d(t) function [that is a constant ÃÂp ÃÂ²d(t) behavior]. The ÃÂp ÃÂ²d(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.
Hosseinpour-Zoonozi, Nima (2006). Development of the beta-pressure derivative. Master's thesis, Texas A&M University. Texas A&M University. Available electronically from