... to the problem, it seems opportune to seek an alternative approximation, ideally one that does not involve the complexities of Bessel functions, Hankel transforms, and series solutions that may be present in solutions to the diffusion equation. A method presented by Fenske 1 , 2 in the groundwater...

... line source finite-radius source reservoir 1 pressure transient analysis pressure response relative size dimensionless time line-source reservoir superposition artificial intelligence bessel function constant-pressure subregion finite-radius reservoir Pressure interference between...

... & gas boundary case eccentric system pressure distribution image function square system boundary circular system pressure drop well location bessel function drillstem/well testing equation constant pressure reservoir diffusivity equation reservoir simulation eccentricity petroleum...

... heat loss cylindrical channel sagd breakthrough steam zone enhanced recovery steam breakthrough thickness closmann thermal method expression langenheim steam zone growth equation fracture steam zone length bessel function volumetric heat capacity marx-langenheim petroleum engineer...

... Copyright 1984, Society of Petroleum Engineers stratified porous medium fluid dynamics semipermeable wall model flow in porous media upstream oil & gas permeability artificial intelligence different layer wall model thickness wall resistance bessel function single-phase fluid flow...

... Hawkin wellbore radius skin factor wellbore open interval flow rate Bessel function pseudosteady-state flow capacity equation Oil Well aRw permeability Pseudosteady-State Flow Capacity of Oil Wells With Limited Entry and an Altered Zone Around the Well bore ABSTRACT A. S. ODEH MEMBER...

... 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...

... is focused on timesshort enough for outer boundary effects not to befelt at the well. SPEJ p. 279 drillstem/well testing dimensionless time boundary condition Drillstem Testing approximation flow rate Van Everdingen skin effect Bessel function storage permeability wellbore storage Jaeger...

... capacity Drillstem Testing Fluid Dynamics homogeneous model Flow Parameter Bessel function warren permeability interpretation fractured reservoir equation Upstream Oil & Gas drawdown porosity inversion reservoir 1969. Society of Petroleum Engineers 1 12 1969 1 12 1969...

... zones is equal to the ratio of the permeabilities. 1 12 1966 1 12 1966 1966. Society of Petroleum Engineers Upstream Oil & Gas specific case boundary condition low permeability Fluid Dynamics residue Bessel function composite reservoir physical system pressure drop...

... American Institute of Mining, Metallurgical, and Petroleum Engineers, Inc. Copyright has expired. Drillstem Testing inner zone linear portion Bessel function flow in porous media Fluid Dynamics Laplace transformation pressure distribution expression inner boundary yaw equation Upstream...