Development of the beta-pressure derivative
Abstract
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.
Citation
Hosseinpour-Zoonozi, Nima (2006). Development of the beta-pressure derivative. Master's thesis, Texas A&M University. Texas A&M University. Available electronically from https : / /hdl .handle .net /1969 .1 /4685.