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Keywords: Laplace transform
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Journal Articles
SPE J. 25 (05): 729–742.
Paper Number: SPE-11599-PA
Published: 01 October 1985
... derived here are also presented. fractured well analytical solution pressure transient testing fracture procedure approximation denote flow period flow rate hydraulic fracturing reservoir permeability reservoir solution straight line agreement drillstem/well testing laplace transform...
Journal Articles
SPE J. 25 (03): 437–444.
Paper Number: SPE-12133-PA
Published: 01 June 1985
... involves intricate mathematics, even for quite simple configurations. As a result, the development of type curves for a new situation becomes a major research project that may involve the analytic or numerical inversion of complex Laplace transforms, numerical integration of Green's or source functions...
Journal Articles
SPE J. 22 (05): 719–721.
Paper Number: SPE-9744-PA
Published: 01 October 1982
... is pressure at x =0. Boundary Condition 2 results from fluid mass balance considerations at x=L and in volume V 2 . After the change of variable, v ( x,t )= P ( x,t )- P 1 , we take the Laplace transform of the system. After developing and keeping the first terms, we obtain (4) V...
Journal Articles
SPE J. 21 (03): 354–362.
Paper Number: SPE-9292-PA
Published: 01 June 1981
.../well testing flow in porous media constant pressure production homogeneous system reservoir laplace transform fluid dynamics pressure transient analysis pressure transient testing Naturally fractured reservoirs consist of heterogeneous porous media where the openings (fissures...
Journal Articles
SPE J. 21 (02): 259–270.
Paper Number: SPE-8206-PA
Published: 01 April 1981
... 1980 1 4 1981 1 4 1981 Copyright 1981, Society of Petroleum Engineers phase redistribution storage coefficient gradient pressure buildup analysis upstream oil & gas type curve laplace transform buildup test pressure buildup data cad 20 pressure function kpa...
Journal Articles
SPE J. 17 (03): 219–227.
Paper Number: SPE-5632-PA
Published: 01 June 1977
... influencing the capacitance-model parameters. SPEJ P. 219 1 6 1977 1 6 1977 1977. Society of Petroleum Engineers miscible method enhanced recovery steam-solvent combination concentration Laplace transform fraction Upstream Oil & Gas boundary condition concentration profile...
Journal Articles
SPE J. 12 (06): 499–507.
Paper Number: SPE-3632-PA
Published: 01 December 1972
... multiwell test drillstem/well testing flow rate Laplace transform single-well test pressure response amplitude ratio reservoir parameter flow test pressure change reservoir property expression multiple rate equation phase shift Determina tion of Reservoir Properties from Sinusoidal...
Journal Articles
SPE J. 12 (05): 453–462.
Paper Number: SPE-3538-PA
Published: 01 October 1972
... that require the solutions. 1972. Society of Petroleum Engineers drillstem/well testing skin effect wellbore storage Cooper storage constant Upstream Oil & Gas dimensionless time Laplace transform van Poollen storage sandface flow rate pressure drop Bessel function storage effect...
Journal Articles
SPE J. 10 (04): 349–356.
Paper Number: SPE-2778-PA
Published: 01 December 1970
... residue amplitude Drilling Equipment 000-ft well depth Laplace transform drillstring design longitudinal vibration drill collar drill string component transformation vibration displacement amplitude equation Upstream Oil & Gas drill pipe oilwell drill string drill string mathematical...
Journal Articles
SPE J. 8 (03): 313–320.
Paper Number: SPE-2000-PA
Published: 01 September 1968
... diffusivity Laplace transform steam zone growth initial temperature equation base rock Steam Zone Growth in a Preheated Reservoir P. J. CLOSMANN ABSTRACT Steam zone growth as a function of time has been calculated for the ca,se of constant rate steam injection into a preheated reservoir. To simplify...
Journal Articles
SPE J. 7 (01): 31–42.
Paper Number: SPE-1536-PA
Published: 01 March 1967
...M.W. Clegg The application of the Laplace transformation to problems in the flow of compressible fluids in porous media has provided a large number of exact solutions. For plane radial flow, however, these solutions are either complex integrals or infinite series and are of little value...
Journal Articles
SPE J. 6 (02): 102–114.
Paper Number: SPE-1305-PA
Published: 01 June 1966
... permeability and the introduction of the Laplace transformation serve as theoretical foundations. Engineering concepts are investigated to indicate particular solutions of interest, which are analytically obtained with the aid of the Laplace transform. These are numerically evaluated by computer, and presented...
Journal Articles
SPE J. 2 (01): 53–67.
Paper Number: SPE-99-PA
Published: 01 March 1962
... 0, the pressure at the wellbore IS the same in both layers and is constant. Thus, 10 terms of the pressure drop, j = 1 or 2, t D > O. The solution of Eqs. A-I and A-2 for the boundary conditions noted was obtained with the aid of Hankel and Laplace transforms, applied consec- utively. The selection...
Journal Articles
SPE J. 1 (04): 287–297.
Paper Number: SPE-1620-G
Published: 01 December 1961
... storage reserves evaluation resource in place estimate pressure variation cumulative-flux function electronic differential analyzer variation Reservoir Characterization Upstream Oil & Gas gas reservoir pressure-change function analog simulation equation Laplace transform diagram...

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