SPE Formation Evaluation · 1991 · 200 citations · 18 references
EngineeringEarth SciencesPetroleum EngineeringReservoir EngineeringSubsurface Fluid FlowWell TestingFractured Reservoir FlowHorizontal Well CompletionsWell Completion DesignWell ModelingWell Test AnalysisWellbore HydraulicsBoundary-dominated FlowFluid Distribution Along Horizontal WellsHorizontal Well AnalysisHorizontal Well ModelingHorizontal Well TestingNumerical Well-test ModelingWell Test ModelingWell Test Simulation
Summary Computational considerations in obtaining well responses and pressure distributions for several problems presented in Part 1 are discussed. In addition, new asymptotic expressions for pressure distributions in closed drainage volumes applicable during the boundary-dominated flow period are derived. Interestingly, these expressions, which are much simpler than those available in the literature, can be used to derive shape factors for a variety of completion conditions (vertical, horizontal, and vertically fractured wells). Application of constant-rate solutions to more complex conditions is also presented.
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Handbook of Mathematical Functions
Milton Abramowitz, I. A. Stegun · 1972 · 15.4K citations
Table of Integrals, Series and Products.
Y. L., I. S. Gradshteyn, I. M. Ryzhik · Mathematics of Computation · 1981 · 8.6K citations
The Conduction of Heat in Solids
Robert L. Sproull · Scientific American · 1962 · 864 citations