... pressure distribution procedure pump time shut-in time slurry fluid loss hydraulic fracturing drillstem/well testing fracture stimulation stress test drillstem testing well 43 pressure decline reservoir characterization fracturing fluid fracturing materials slurry volume proppant...

...Leif Larsen General and simple algorithms are presented to determine the coordinates of sufficient numbers of image wells to compute pressure distributions and Matthews-Brons-Hazebroek (MBH) functions for rectangles of any shape, triangles with internal angles (30,60,90), (45,45,90), (60,60,60...

... 1984 28 3 1983 1 12 1984 1 12 1984 Copyright 1984, Society of Petroleum Engineers equivalent radius observation point eccentric circular system pressure boundary case drillstem testing upstream oil & gas boundary case eccentric system pressure distribution image...

... of Petroleum Engineers root model fractured reservoir pressure response gradient model pressure segment pressure distribution matrix block artificial intelligence storage drillstem testing pressure curve drawdown assumption warren upstream oil & gas pressure change pressure behavior...

... consideration of a transient Laplace equation. The transient term is ignored by assuming the coefficient a is negligibly small. This assumption yields linear pressure distribution along the specimen in the flow direction at any time t . Subsequently, Brace et al . modeled the phenomenon by two-segment finite...

... pressure distribution, and hence the flow through pressure distribution, and hence the flow through their surfaces, is a known function found in the theory of heat flow in solids (see Ref. 6). These solutions are given for solids with unitary pressure (temperature) loss at their surfaces as a boundary...

... conductivity solution partial penetration hantush flux distribution Drillstem Testing approximate infinite conductivity solution line-source well AIME reservoir Upstream Oil & Gas Thickness pressure distribution wellbore pressure equation drillstem/well testing pressure point uniform flux...

... the fracture. SPEJ P. 413^ 1 8 1974 1 8 1974 1974. Society of Petroleum Engineers drillstem/well testing horizontal fracture skin factor Drillstem Testing pressure point pressure distribution solid cylinder source hydraulic fracturing Thickness pressure drop reservoir thickness...

... Engineers waterflooding jth relief well water interface enhanced recovery Upstream Oil & Gas bottom-hole pressure water management annular pressure drilling center-to-center distance pressure distribution Injection Rate quantity assumption Denote well control injection pressure...

... & Gas flow period fractured well dimensionless distance flux distribution hydraulic fracturing desuperposition pressure drop flux AIME drillstem/well testing vertical fracture unfractured well infinite reservoir unsteady-state pressure distribution Drillstem Testing Ramey pressure...

..., t greater than or equal to O, of constant production, with an arbitrary initial pressure production, with an arbitrary initial pressure distribution, (3) t=O: p=p (x, y) SPEJ P. 335 1 12 1973 1 12 1973 1973. Society of Petroleum Engineers flow in porous media circular...

..., first-order correct finite-difference scheme for individual component flows results in considerable numerical smearing in the saturation distribution. The pressure distribution, which depends upon the saturation distribution, is very sensitive to numerical smearing. Therefore, high-order correct...

...M.W. Clegg; M. Mills This paper presents an approximate analytical solution to the problem of the pressure distributions arising from the production of a compressible liquid in a partially penetrating well. The limits of validity of the approximation are discussed and it is shown that the basic...

... results have already been presented in Figs. 9 and 10 in the form of the flow-rate pressure drop relationship for each flow channel and for the entire bit. In the course of obtaining this information the velocity and pressure distribution along the length of the flow channel was also determined (Figs. 11...

... out in the rock matrix, this study was conducted to determine the effects of vertical fractures on pressure distribution, producing capacity and the effective permeability of the reservoir rock. The analogy between the flow of electrical current through a conducting body and the flow of fluid...

... solution well pressure inversion formula Upstream Oil & Gas constant pressure case Laplace transform inversion equation reservoir Fluid Dynamics boundary condition pressure distribution constant well pressure Some Approximate Solutions of Radial Flow Problems Associated With Production...

..., including rates and cumulative production from the wells, and pressure distribution and decline in the reservoir. If the isothermal flow of a non-ideal gas obeying Darcy's Law occurs in two dimensions in a region R, the governing equation in this region is: = .....................(1) In Eq. 1, k, h...

... are analyzed mathematically, resulting in upper and lower bounds for the ratio of time step to mesh spacing. The methods are applied to two- and three-phase waterflooding problems in laboratory-size cores, and resulting saturation and pressure distributions and production histories are presented graphically...

... temperature profile pressure distribution water production history external heat loss permeability fraction combustion A Mathematical Model of Thermal Oil Recovery Linear Systems .In B. S. GOTTFRIED JUNIOR MEMBER AIME ABSTRACT A generalized mathematical model is presented, which describes the thermal...

... reservoir liquid phase Computation saturation back-pressure test permeability computer pressure drawdown equation constituent liquid saturation gas phase pressure distribution specific mass volatile hydrocarbon partial specific mass Two-Phase Flow of Volatile Hydrocarbons ABSTRACT V. J...