Integrated Interpretation of Interwell Connectivity Using Injection and Production Fluctuations
A method to characterize reservoirs, based on matching temporal fluctuations in injection and production rates, has recently been developed. The method produces two coefficients for each injector–producer pair; one parameter, λ , quantifies the connectivity and the other, τ , quantifies the fluid st...
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Published in | Mathematical geosciences Vol. 41; no. 1; pp. 81 - 102 |
---|---|
Main Authors | , , |
Format | Journal Article |
Language | English |
Published |
Berlin/Heidelberg
Springer-Verlag
2009
Springer Springer Nature B.V |
Subjects | |
Online Access | Get full text |
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Abstract | A method to characterize reservoirs, based on matching temporal fluctuations in injection and production rates, has recently been developed. The method produces two coefficients for each injector–producer pair; one parameter,
λ
, quantifies the connectivity and the other,
τ
, quantifies the fluid storage in the vicinity of the pair. Previous analyses used
λ
and
τ
separately to infer the presence of transmissibility barriers and conduits in the reservoir, but several common conditions could not be easily distinguished. This paper describes how
λ
and
τ
can be jointly interpreted to enhance inference about preferential transmissibility trends and barriers. Two different combinations are useful: one is a plot of log (
λ
) versus log (
τ
) for a producer and nearby injectors, and the second is a Lorenz-style flow capacity (
F
) versus storativity (
C
) plot. These techniques were tested against the results of a numerical simulator and applied to data from the North Buck Draw field. Using the simulated data, we find that the
F
–
C
plots and the
λ
–
τ
plots are capable of identifying whether the connectivity of an injector–producer well pair is through fractures, a high-permeability layer, multiple-layers or through partially completed wells. Analysis of data from the North Buck Draw field shows a reasonable correspondence between
τ
and the tracer breakthrough times. Of two possible geological models for Buck Draw, the
F
–
C
and
λ
–
τ
plots support the model that has less connectivity in the field. The wells in fluvial deposits show better communication than those wells in more estuarine-dominated regions. |
---|---|
AbstractList | A method to characterize reservoirs, based on matching temporal fluctuations in injection and production rates, has recently been developed. The method produces two coefficients for each injector–producer pair; one parameter,
λ
, quantifies the connectivity and the other,
τ
, quantifies the fluid storage in the vicinity of the pair. Previous analyses used
λ
and
τ
separately to infer the presence of transmissibility barriers and conduits in the reservoir, but several common conditions could not be easily distinguished. This paper describes how
λ
and
τ
can be jointly interpreted to enhance inference about preferential transmissibility trends and barriers. Two different combinations are useful: one is a plot of log (
λ
) versus log (
τ
) for a producer and nearby injectors, and the second is a Lorenz-style flow capacity (
F
) versus storativity (
C
) plot. These techniques were tested against the results of a numerical simulator and applied to data from the North Buck Draw field. Using the simulated data, we find that the
F
–
C
plots and the
λ
–
τ
plots are capable of identifying whether the connectivity of an injector–producer well pair is through fractures, a high-permeability layer, multiple-layers or through partially completed wells. Analysis of data from the North Buck Draw field shows a reasonable correspondence between
τ
and the tracer breakthrough times. Of two possible geological models for Buck Draw, the
F
–
C
and
λ
–
τ
plots support the model that has less connectivity in the field. The wells in fluvial deposits show better communication than those wells in more estuarine-dominated regions. A method to characterize reservoirs, based on matching temporal fluctuations in injection and production rates, has recently been developed. The method produces two coefficients for each injector -producer pair; one parameter, lambda, quantifies the connectivity and the other, tau, quantifies the fluid storage in the vicinity of the pair. Previous analyses used lambda and tau separately to infer the presence of transmissibility barriers and conduits in the reservoir, but several common conditions could not be easily distinguished. This paper describes how lambda and tau can be jointly interpreted to enhance inference about preferential transmissibility trends and barriers. Two different combinations are useful: one is a plot of log(lambda) versus log(tau) for a producer and nearby injectors, and the second is a Lorenz-style flow capacity (F) versus storativity (C) plot. These techniques were tested against the results of a numerical simulator and applied to data from the North Buck Draw field. Using the simulated data, we find that the F -C plots and the lambda -tau plots are capable of identifying whether the connectivity of an injector -producer well pair is through fractures, a high-permeability layer, multiple-layers or through partially completed wells. Analysis of data from the North Buck Draw field shows a reasonable correspondence between tau and the tracer breakthrough times. Of two possible geological models for Buck Draw, the F -C and lambda -tau plots support the model that has less connectivity in the field. The wells in fluvial deposits show better communication than those wells in more estuarine-dominated regions. A method to characterize reservoirs, based on matching temporal fluctuations in injection and production rates, has recently been developed. The method produces two coefficients for each injector-producer pair; one parameter, λ, quantifies the connectivity and the other, τ, quantifies the fluid storage in the vicinity of the pair. Previous analyses used λ and τ separately to infer the presence of transmissibility barriers and conduits in the reservoir, but several common conditions could not be easily distinguished. This paper describes how λ and τ can be jointly interpreted to enhance inference about preferential transmissibility trends and barriers. Two different combinations are useful: one is a plot of log(λ) versus log(τ) for a producer and nearby injectors, and the second is a Lorenz-style flow capacity (F) versus storativity (C) plot. These techniques were tested against the results of a numerical simulator and applied to data from the North Buck Draw field. Using the simulated data, we find that the F-C plots and the λ-τ plots are capable of identifying whether the connectivity of an injector-producer well pair is through fractures, a high-permeability layer, multiple-layers or through partially completed wells. Analysis of data from the North Buck Draw field shows a reasonable correspondence between τ and the tracer breakthrough times. Of two possible geological models for Buck Draw, the F-C and λ-τ plots support the model that has less connectivity in the field. The wells in fluvial deposits show better communication than those wells in more estuarine-dominated regions. (PUBLICATION ABSTRACT) |
Author | Yousef, Ali A. Lake, Larry W. Jensen, Jerry L. |
Author_xml | – sequence: 1 givenname: Ali A. surname: Yousef fullname: Yousef, Ali A. organization: Department of Petroleum and Geosystems Engineering, The University of Texas at Austin, Saudi Aramco – sequence: 2 givenname: Jerry L. surname: Jensen fullname: Jensen, Jerry L. email: jjensen@ucalgary.ca organization: Department of Chemical and Petroleum Engineering, The University of Calgary – sequence: 3 givenname: Larry W. surname: Lake fullname: Lake, Larry W. organization: Department of Petroleum and Geosystems Engineering, The University of Texas at Austin |
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Cites_doi | 10.1137/040607654 10.1016/S0376-7361(08)70003-7 10.2118/83381-PA 10.2118/55634-MS 10.2118/95322-PA 10.2118/94436-MS 10.2118/38679-MS 10.2118/71613-MS 10.2118/95322-MS |
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Keywords | Capacitance model Reservoir characterization North Buck Draw field Lorenz plot reservoir rocks models hydrocarbons tracers permeability reservoirs North America oil and gas fields fluctuations interpretation mathematical methods injection flow fractures |
Language | English |
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References | Lake (CR11) 1989 CR2 Kimmel, Dalati, Bradley (CR10) 1987 CR3 CR6 Dake (CR5) 1978 Yousef, Gentil, Jensen, Lake (CR19) 2006; 9 Albertoni, Lake (CR1) 2003; 6 CR8 CR7 CR18 CR16 CR14 CR13 Schmalz, Rahme (CR15) 1950; 14 Lake, Jensen (CR12) 1991; 15 Craig (CR4) 1971 Shook (CR17) 2003; 27 Ibragimov, Khalmanova, Valko, Walton (CR9) 2005; 65 9189_CR13 9189_CR14 9189_CR16 A Albertoni (9189_CR1) 2003; 6 9189_CR3 9189_CR18 9189_CR2 LP Dake (9189_CR5) 1978 GM Shook (9189_CR17) 2003; 27 9189_CR8 JP Schmalz (9189_CR15) 1950; 14 9189_CR7 9189_CR6 JD Kimmel (9189_CR10) 1987 LW Lake (9189_CR12) 1991; 15 LW Lake (9189_CR11) 1989 FF Craig (9189_CR4) 1971 AA Yousef (9189_CR19) 2006; 9 A Ibragimov (9189_CR9) 2005; 65 |
References_xml | – ident: CR18 – year: 1989 ident: CR11 publication-title: Enhanced oil recovery contributor: fullname: Lake – volume: 14 start-page: 9 issue: 9 year: 1950 end-page: 12 ident: CR15 article-title: The variation in water flood performance with variation in permeability profile publication-title: Prod Mon contributor: fullname: Rahme – ident: CR3 – ident: CR14 – ident: CR2 – ident: CR16 – year: 1987 ident: CR10 article-title: Potential tests of oil wells publication-title: Petroleum engineering handbook contributor: fullname: Bradley – volume: 27 start-page: 407 year: 2003 end-page: 411 ident: CR17 article-title: A simple, fast method of estimating fractured reservoir geometry from tracer tests publication-title: Trans Geotherm Resour Counc contributor: fullname: Shook – volume: 65 start-page: 1952 issue: 6 year: 2005 end-page: 1980 ident: CR9 article-title: On a mathematical model of the productivity index of a well from reservoir engineering publication-title: SIAM J Appl Math doi: 10.1137/040607654 contributor: fullname: Walton – ident: CR13 – volume: 15 start-page: 409 issue: 4 year: 1991 end-page: 439 ident: CR12 article-title: A review of heterogeneity measures used in reservoir characterization publication-title: In Situ contributor: fullname: Jensen – year: 1971 ident: CR4 publication-title: The reservoir engineering aspects of waterflooding contributor: fullname: Craig – ident: CR6 – year: 1978 ident: CR5 publication-title: Fundamentals of reservoir engineering doi: 10.1016/S0376-7361(08)70003-7 contributor: fullname: Dake – ident: CR7 – ident: CR8 – volume: 6 start-page: 6 issue: 1 year: 2003 end-page: 16 ident: CR1 article-title: Inferring connectivity only from well-rate fluctuations in waterfloods publication-title: SPE Reserv Evalu Eng contributor: fullname: Lake – volume: 9 start-page: 630 issue: 6 year: 2006 end-page: 646 ident: CR19 article-title: A capacitance model to infer interwell connectivity from production and injection rate fluctuations publication-title: SPE Reserv Evalu Eng contributor: fullname: Lake – volume-title: Enhanced oil recovery year: 1989 ident: 9189_CR11 contributor: fullname: LW Lake – volume-title: Petroleum engineering handbook year: 1987 ident: 9189_CR10 contributor: fullname: JD Kimmel – volume: 65 start-page: 1952 issue: 6 year: 2005 ident: 9189_CR9 publication-title: SIAM J Appl Math doi: 10.1137/040607654 contributor: fullname: A Ibragimov – volume-title: The reservoir engineering aspects of waterflooding year: 1971 ident: 9189_CR4 contributor: fullname: FF Craig – ident: 9189_CR7 – volume-title: Fundamentals of reservoir engineering year: 1978 ident: 9189_CR5 contributor: fullname: LP Dake – ident: 9189_CR16 – volume: 6 start-page: 6 issue: 1 year: 2003 ident: 9189_CR1 publication-title: SPE Reserv Evalu Eng doi: 10.2118/83381-PA contributor: fullname: A Albertoni – ident: 9189_CR2 – ident: 9189_CR6 doi: 10.2118/55634-MS – volume: 9 start-page: 630 issue: 6 year: 2006 ident: 9189_CR19 publication-title: SPE Reserv Evalu Eng doi: 10.2118/95322-PA contributor: fullname: AA Yousef – volume: 15 start-page: 409 issue: 4 year: 1991 ident: 9189_CR12 publication-title: In Situ contributor: fullname: LW Lake – ident: 9189_CR14 – volume: 14 start-page: 9 issue: 9 year: 1950 ident: 9189_CR15 publication-title: Prod Mon contributor: fullname: JP Schmalz – volume: 27 start-page: 407 year: 2003 ident: 9189_CR17 publication-title: Trans Geotherm Resour Counc contributor: fullname: GM Shook – ident: 9189_CR3 doi: 10.2118/94436-MS – ident: 9189_CR8 doi: 10.2118/38679-MS – ident: 9189_CR13 doi: 10.2118/71613-MS – ident: 9189_CR18 doi: 10.2118/95322-MS |
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SubjectTerms | Chemistry and Earth Sciences Computer Science Earth and Environmental Science Earth Sciences Earth, ocean, space Exact sciences and technology Fluctuations Fluids Geotechnical Engineering & Applied Earth Sciences Hydrocarbons Hydrogeology Injection Oil wells Petroleum geology Physics Reservoirs Sedimentary rocks Statistics for Engineering Studies Wells |
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Title | Integrated Interpretation of Interwell Connectivity Using Injection and Production Fluctuations |
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