... dynamics dimensionless time upstream oil & gas pressure-drop profile injection rate relative permeability analytical solution displacement rock property nonuniformity core sample porosity detecting rock property nonuniformity pressure drop streamline mobility ratio equation flow...

... that the identities in Eqs. 2 through 4 are not defined in conventional fashion. For example, the transformation in Eq. 3 consolidates both independent variables t and r into a single expression for the dimensionless time, t D . Variables of this type have been called similarity variables by several...

... configurations are given. The Appendix contains derivations of the dimensionless variables and the drawdown parameter. type-curve match production control compressibility linear flow drillstem testing average reservoir pressure dimensionless time production monitoring production rate viscosity...

... wellbore pressure drop vs. dimensionless time exhibits a straight line. The information that can be obtained from the various possible combinations of Flow Regimes 1 through 3 is discussed in Refs. 7 and 8 . Flow Regime 5 corresponds to pseudosteady-state flow. Flow Regime 4 denotes a flow period during...

... 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...

... of the transition period as a combination of two straight lines, the first line having a slope of one-half, the second with a slope of two-thirds of the late-time trend. Specifically, they indicated that the half-slope occurs around the dimensionless time of (1) ( t D ) H = 5 ω e γ...

... skin factor dimensionless time flow in porous media fluid dynamics We consider skin regions of finite thickness with permeabilities different from the formation permeabilities. In this case, we also consider situations in which the vertical permeability is equal to or different from...

... permeability dimensionless time enhanced recovery porosity jth layer stratified system oil recovery reservoir simulation reservoir characterization waterflooding mobility ratio flow in porous media breakthrough pressure drop gravity gravitational force petroleum engineer journal...

... fracturing production monitoring dimensionless time reservoir surveillance complex reservoir reservoir drillstem/well testing production control petroleum engineer journal homogeneous reservoir Here, k f is the permeability of the fracture system and h ft is the total thickness...

... wall and sensible heat requirements within the zone, it is possible to estimate the channel size from the time of steam breakthrough at a producer. 10 3 1983 29 11 1983 26 8 1983 1 10 1984 1 10 1984 Copyright 1984, Society of Petroleum Engineers dimensionless time...

... oil saturation viscosity dimensionless time surfactant concentration flow in porous media fluid dynamics chemical cost injection policy oil recovery equation concentration slug coefficient petroleum engineer journal dimensionless surfactant concentration Surfactant recovery...

... measurement injection gas reservoir surveillance characteristic velocity reservoir simulation petroleum engineer journal flow rate production monitoring dimensionless time Gas injection is increasingly being applied as a secondary or tertiary recovery technique. In many applications injection...

... of the diagonals of a constant-pressure outer boundary square reservoir. The solutions for all these cases are reported in the form of tables and plots of dimensionless pressure drop vs. dimensionless time for different fracture-penetration ratios. This paper presents a method for modeling ICVF's with source...

... = 141.2 B μ q ( t ) k h ( p i − p w f ) . Dimensionless time is defined as (3) t D x f = 0.0002637 k t ϕ c t μ L x f . The dimensionless distances are given by (4) x D = x / L x e...

... × 10 − 6 k h q B μ [ p i − p ( x , y , t ) ] , 18 7 1980 9 8 1982 10 12 1981 1 12 1982 1 12 1982 Copyright 1982, Society of Petroleum Engineers dimensionless time fracture plane artificial intelligence pressure...

... of the internal boundary ellipse). Tabular and graphical forms of the dimensionless cumulative water influx and influx rate are presented as a function of the dimensionless time for various internal boundary geometries ranging from a e /b e = 1, which corresponds to a circle, to a a e /b e = ∞, which corresponds...

... constant-pressure production hydraulic fracturing fluid dynamics dimensionless time drillstem testing one-quarter slope vertical fracture fractured well dnd fracture fracture permeability pressure drop non-darcy flow beta factor upstream oil & gas type-curve matching correlation...

... drainage region dimensionless time drillstem testing flow in porous media graph petroleum engineer journal reservoir simulation average pressure orientation enhanced recovery fluid dynamics flowing time pressure transient analysis pressure transient testing straight line...

... s ≅ k t M / ( μ c t r w 2 t D M ) . Fig. 2 is a graph of the dimensionless flow rate vs. dimensionless time computed with the wellbore radius corrected to an effective radius for positive skin factor. For very small flow times ( t D < 10), the type...

...Heber Cinco L.; F. Samaniego V.; N. Dominguez A. A mathematical model was developed to study the transient behavior of a well with a finite-conductivity vertical fracture in an infinite slab reservoir. For values of dimensionless time of interest, to >10, the dimensionless wellbore pressure, p...