... hydraulic fracturing reservoir permeability reservoir solution straight line agreement drillstem/well testing laplace transform layered reservoir assumption drillstem testing pressure transient analysis equation jt plot fracture conductivity production monitoring reservoir simulation...

.... 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, or finite-difference techniques. The use of such methods, although...

... 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 ¯ = P 0 P − P 0 P e − q x + P 0 ( c q + κ ) P ( c q + κ...

... curve analysis skin factor 0 outer boundary fractured system drillstem/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...

... pressure buildup analysis upstream oil & gas type curve laplace transform buildup test pressure buildup data cad 20 pressure function kpa redistribution cd 100 well bore phase redistribution redistribution effect drillstem/well testing pwd drillstem testing buildup data gas bubble...

... 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...

... 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...

... 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...

... 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...

... reservoir temperature distribution reservoir steam zone area hot injection zone gradient steam-assisted gravity drainage dimensionless time injection zone injection temperature profile thermal method Upstream Oil & Gas thermal diffusivity Laplace transform steam zone growth initial...

...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...

... 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...

.... Copyright has expired. production monitoring Fluid Dynamics formula Laplace transform Reservoir Surveillance stratified system pressure drop production control Upstream Oil & Gas two-layer reservoir boundary condition expression Hankel transform crossflow system layered reservoir...

... Characterization Upstream Oil & Gas gas reservoir pressure-change function analog simulation equation Laplace transform diagram boundary condition aquifer reservoir pressure interference water flux 1 12 1961 1 12 1961 1961. Original copyright American Institute of Mining...