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Method for estimating the wells interference using field performance data

UDK: 622.276.346
DOI: 10.24887/0028-2448-2018-8-64-69
Key words: multi-well system performance, analytical methods, wells Interference, boundary elements method
Authors: E.V. Yudin (Zarubezhneft JSC, RF, Moscow), A.E. Gubanova (Zarubezhneft JSC, RF, Moscow), V.A. Krasnov (Rosneft Oil Company, RF, Moscow)

Analysis and planning multi-well system performance in a heterogeneous reservoir is one of the main tasks of field development. In the paper it is shown that performance of multiwell system can be described using Multi-Well Productivity Index (MPI) concept. MPI is an extension of the Productivity Index (PI) to a multi-well case. It reflects the relation of pressure drawdown and rates of wells of a multi-well system. The diagonal coefficients of MPI correspond to the classical productivity indices of each well, and the off-diagonal elements reflect the inter-well connectivity. It is possible to calculate the MPI matrix coefficients analyticaly only in case of homogeneous reservoirs of simple form. This is why MPI approach was not widely used in practice.

The paper shows the engineering method for estimating the MPI matrix coefficients using the data of monthly technological regimes and a priori geological information for the general case of heterogeneous reservoirs. This approach is based on the solution of the filtration equations with Boundary-Element Method (BEM) and the subsequent reduction of these equations to the form of MPI matrix. It is possible to reduce BEM equations for calculation of the MPI coefficients explicitly for the case of reservoirs with no internal faults and wedging zones. For reservoirs with faults and wedging zones the numerical algorithm for estimating the MPI indices is proposed. Estimation of MPI indices for heterogeneous reservoir allows to solve various field development problems: waterflood optimization, workover and welltest planning etc.

An important advantage of the proposed algorithm over other engineering tools for determining the inter-well connectivity, including the so-called CRM-models (capacitance resistivity models), is that the proposed approach allows to take into account explicitly a priori geological information, such as the presence of impermeable faults, the shape of the reservoir boundary, the aquifer, well completion etc.

References

1. Dake L.P., Fundamentals of reservoir engineering, Elsevier Science Publishers B.V., 1978.

2. Hansen C.E., Fanchi J.R., Producer/Injector Ratio: The key to understanding pattern flow performance and optimizing waterflooding, SPE 86574-PA, 2003.

3. Lubnin A.A., Yudin E.V., Engineering approach to solving problems of flooding of low-permeability compartmentalized reservoirs (In Russ.), SPE 166889-MS, 2013.

4. Valko P.P., Doublet L.E., Blasingame T.A., Development and application of the multiwell productivity index (MPI), SPE 51793, 2000.

5. Lu J., Ghedan S., Pseudo-steady state productivity equations for a multiple-wells system in a sector fault reservoir, SPE 130866, 2010.

6. Lu J., Tiab D., Productivity equations for multiple wells system in anisotropic reservoirs, CIPC, 2008-099.

7. Kaviani D., Interwell connectivity evaluation from wellrate fluctuations: a waterflooding management tool: PhD thesis, Texas: A&M University, 2009.

8. Heffer K., Fox R., McGill C., Koutsabeloulis N., Novel techniques show links between reservoir flow directionality, Earth stress, fault structure and geomechanical changes in mature waterfloods, SPE 30711-PA, 1997.

9. Albertoni A., Lake L., Inferring interwell connectivity only from well-rate fluctuations in waterfloods, SPE 83381-PA, 2003.

10. Weber D., The use of capacitance-resistance models to optimize injection allocation and well location in water floods: PhD thesis, University of Texas at Austin, 2009.

11. Yousef A., Investigating statistical techniques to infer interwell connectivity from production and injection rate fluctuations: PhD thesis, Texas: University of Texas at Austin, 2006.

12. Yudin E.V., Modelirovanie fil'tratsii zhidkosti v neodnorodnykh sredakh dlya analiza i planirovaniya razrabotki neftyanykh mestorozhdeniy (Modeling of fluid filtration in heterogeneous environments for the analysis and planning of oilfield development): candidate of physical and mathematical sciences, Moscow, 2014.

13. Kikani J., Horne R.N., Pressure-transient analysis of arbitrarily shaped reservoirs with the boundary-element method, SPE 18159-PA, 1992.

14. Jongkittinarukom K., Tiab D., Development of the boundary element method for a horizontal well in multilayer reservoir, SPE 39939-MS, 1998.

15. Wang H., Zhang L., A boundary element method applied to pressure transient analysis of geometrically complex gas reservoirs, SPE 122055-MS, 2009.

16. Krasnov V., Ivanov V., Khasanov M. A., Robust Method to Quantify Reservoir Connectivity Using Field Performance Data, SPE 162053, 2012.

Analysis and planning multi-well system performance in a heterogeneous reservoir is one of the main tasks of field development. In the paper it is shown that performance of multiwell system can be described using Multi-Well Productivity Index (MPI) concept. MPI is an extension of the Productivity Index (PI) to a multi-well case. It reflects the relation of pressure drawdown and rates of wells of a multi-well system. The diagonal coefficients of MPI correspond to the classical productivity indices of each well, and the off-diagonal elements reflect the inter-well connectivity. It is possible to calculate the MPI matrix coefficients analyticaly only in case of homogeneous reservoirs of simple form. This is why MPI approach was not widely used in practice.

The paper shows the engineering method for estimating the MPI matrix coefficients using the data of monthly technological regimes and a priori geological information for the general case of heterogeneous reservoirs. This approach is based on the solution of the filtration equations with Boundary-Element Method (BEM) and the subsequent reduction of these equations to the form of MPI matrix. It is possible to reduce BEM equations for calculation of the MPI coefficients explicitly for the case of reservoirs with no internal faults and wedging zones. For reservoirs with faults and wedging zones the numerical algorithm for estimating the MPI indices is proposed. Estimation of MPI indices for heterogeneous reservoir allows to solve various field development problems: waterflood optimization, workover and welltest planning etc.

An important advantage of the proposed algorithm over other engineering tools for determining the inter-well connectivity, including the so-called CRM-models (capacitance resistivity models), is that the proposed approach allows to take into account explicitly a priori geological information, such as the presence of impermeable faults, the shape of the reservoir boundary, the aquifer, well completion etc.

References

1. Dake L.P., Fundamentals of reservoir engineering, Elsevier Science Publishers B.V., 1978.

2. Hansen C.E., Fanchi J.R., Producer/Injector Ratio: The key to understanding pattern flow performance and optimizing waterflooding, SPE 86574-PA, 2003.

3. Lubnin A.A., Yudin E.V., Engineering approach to solving problems of flooding of low-permeability compartmentalized reservoirs (In Russ.), SPE 166889-MS, 2013.

4. Valko P.P., Doublet L.E., Blasingame T.A., Development and application of the multiwell productivity index (MPI), SPE 51793, 2000.

5. Lu J., Ghedan S., Pseudo-steady state productivity equations for a multiple-wells system in a sector fault reservoir, SPE 130866, 2010.

6. Lu J., Tiab D., Productivity equations for multiple wells system in anisotropic reservoirs, CIPC, 2008-099.

7. Kaviani D., Interwell connectivity evaluation from wellrate fluctuations: a waterflooding management tool: PhD thesis, Texas: A&M University, 2009.

8. Heffer K., Fox R., McGill C., Koutsabeloulis N., Novel techniques show links between reservoir flow directionality, Earth stress, fault structure and geomechanical changes in mature waterfloods, SPE 30711-PA, 1997.

9. Albertoni A., Lake L., Inferring interwell connectivity only from well-rate fluctuations in waterfloods, SPE 83381-PA, 2003.

10. Weber D., The use of capacitance-resistance models to optimize injection allocation and well location in water floods: PhD thesis, University of Texas at Austin, 2009.

11. Yousef A., Investigating statistical techniques to infer interwell connectivity from production and injection rate fluctuations: PhD thesis, Texas: University of Texas at Austin, 2006.

12. Yudin E.V., Modelirovanie fil'tratsii zhidkosti v neodnorodnykh sredakh dlya analiza i planirovaniya razrabotki neftyanykh mestorozhdeniy (Modeling of fluid filtration in heterogeneous environments for the analysis and planning of oilfield development): candidate of physical and mathematical sciences, Moscow, 2014.

13. Kikani J., Horne R.N., Pressure-transient analysis of arbitrarily shaped reservoirs with the boundary-element method, SPE 18159-PA, 1992.

14. Jongkittinarukom K., Tiab D., Development of the boundary element method for a horizontal well in multilayer reservoir, SPE 39939-MS, 1998.

15. Wang H., Zhang L., A boundary element method applied to pressure transient analysis of geometrically complex gas reservoirs, SPE 122055-MS, 2009.

16. Krasnov V., Ivanov V., Khasanov M. A., Robust Method to Quantify Reservoir Connectivity Using Field Performance Data, SPE 162053, 2012.


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