SPE Annual Technical Conference and Exhibition 2004
DOI: 10.2118/90079-ms
|View full text |Cite
|
Sign up to set email alerts
|

Approximate Analytical Solutions for the Pressure Response at a Water Injection Well

Abstract: fax 01-972-952-9435. AbstractThe first and fifth authors have previously used the Thompson-Reynolds steady-state theory to derive solutions for the pressure response at a water injection well. In the vertical well case, their solutions assumed a completepenetration well; in the horizontal well case, they assumed that the well is equidistant from the top and bottom of the formation. Here, we construct approximate analytical pressure solutions for the restricted-entry vertical well case and for a horizontal well… Show more

Help me understand this report

Search citation statements

Order By: Relevance

Paper Sections

Select...
3
2

Citation Types

0
7
0

Year Published

2006
2006
2024
2024

Publication Types

Select...
4
3

Relationship

0
7

Authors

Journals

citations
Cited by 11 publications
(7 citation statements)
references
References 11 publications
0
7
0
Order By: Relevance
“…However, numerical models are needed to represent all the non linearities of the problem and to simulate the actual fluid distribution in the reservoir. In order to approach analytically the problem of fluid displacement in injection tests some authors proposed solutions based on the Buckley-Leverett equation: Bratvold and Horne (1990) derived a non isothermal solution, applicable in the case of homogeneous reservoir fully penetrated by the well, little fluids compressibility, negligible heat conduction and temperature dependency considered for viscosity only; starting from Bratvold and Horne (1990) results, Levitan (2002) developed an analytical solution for decoupling saturation and temperature from pressure response; Peres et al (2004) derived an approximate analytical solution for oil-water bi-phase flow, limited entry vertical well or horizontal well. In all these analytical solutions the saturation profiles is decoupled from temperature and pressure changes.…”
Section: Production-reinjection Testingmentioning
confidence: 99%
“…However, numerical models are needed to represent all the non linearities of the problem and to simulate the actual fluid distribution in the reservoir. In order to approach analytically the problem of fluid displacement in injection tests some authors proposed solutions based on the Buckley-Leverett equation: Bratvold and Horne (1990) derived a non isothermal solution, applicable in the case of homogeneous reservoir fully penetrated by the well, little fluids compressibility, negligible heat conduction and temperature dependency considered for viscosity only; starting from Bratvold and Horne (1990) results, Levitan (2002) developed an analytical solution for decoupling saturation and temperature from pressure response; Peres et al (2004) derived an approximate analytical solution for oil-water bi-phase flow, limited entry vertical well or horizontal well. In all these analytical solutions the saturation profiles is decoupled from temperature and pressure changes.…”
Section: Production-reinjection Testingmentioning
confidence: 99%
“…Most solutions available consider only injection at a constant rate followed by a falloff test, the major exception being the work of Levitan 4 who was able to generate a solution for multirate tests. Most solutions, including all those mentioned above, consider only one-dimensional radial flow problems, the major exceptions being Thambynayagam 5 who presented injection/falloff solutions for a vertical restricted-entry well assuming piston displacement recent papers 6,7,8 which used the Thompson-Reynolds steady-state theory 9,10 to generate approximate analytical solutions for completepenetration and restricted-entry vertical wells as well as for horizontal wells.…”
Section: Introductionmentioning
confidence: 99%
“…By combining this solution with the analytical solutions for injection and falloff periods 6,7 , we obtain the pressure solution for the IFPT test. The difficult part is generating the solution for the water saturation profile during the production period of the IFPT.…”
Section: Introductionmentioning
confidence: 99%
“…The general theory for pressure behavior under water injection was presented by Peres et al (22). They developed an analytical solution for the injection period and showed that their model reduces to the formulation proposed by previous authors, provided that the correct assumptions are made.…”
Section: Modeling Injectivity Tests In Single-layer Reservoirsmentioning
confidence: 99%
“…The falloff solution was reached by Peres et al (24) following their own work (22). The superposition principle was used to describe the flow-rate history during falloff as the sum two flow-rates with different sign, but being applied at the same point of the reservoir.…”
Section: Modeling Injectivity Tests In Single-layer Reservoirsmentioning
confidence: 99%