Stochastic-analytical model for auto-hydro-self-listening of reservoirs

UDK: 622.276.5.001.5
DOI: 10.24887/0028-2448-2019-9-76-81
Key words: automatic well testing, self-listening, interference, water injection
Authors: T.A. Pospelova (Tyumen Petroleum Research Center LLC, RF, Tyumen), A.V. Strekalov (Tyumen Petroleum Research Center LLC, RF, Tyumen)

The article is enlightened to the study of the problem of searching for the nature of the hydrodynamic interference of wells in the form of permeability coefficients along communication lines. The article highlights the theoretical foundations and mathematical description of the mathematical model that underlies the method of reference pressure curves for the search of permeability coefficients in the zones of impact of wells in the drainage radius and in directions to other wells of research area. For the first time, it is proposed to separate permeability to effect mass transfer processes and pressure impulse transmission. The permeability coefficient is characterized by a dichotomy: on the one hand, the higher the permeability, then smaller change in pressure during self-listening, on the other hand, the higher the permeability, then greater pressure change at a significant distance from the well. Thus, the article distinguishes piezoconductive permeability, which causes the directional propagation of the pulse, and, on the other hand, hydraulic conductive permeability, which causes pressure dispersion deep into the research zone of the formation. Also for increasing the reliability the authors proposed to introduce an additional coefficient of friction pressure loss in injection wells. This is extremely important, since the pressure at the mouth is measured, and the bottomhole pressure is significant. The pressure loss on linear friction in tubing is significant, reaching 1.5–2.0 MPa.

The model considered in the article and the method implemented on its basis were tested on synthetic hydrodynamic models and showed a good result. The method under consideration has a several limitations, for example, a representative time range within which reference pressure curves are selected. A formula for calculating the optimal value of this range is proposed.

References

1. Stepanov S.V., Sokolov S.V., Ruchkin A.A. et al., Considerations on mathematical modeling of producer-injector interference (In Russ.), Vestnik Tyumenskogo gosudarstvennogo universiteta. Fiziko-matematicheskoe modelirovanie. Neft', gaz, energetika = Tyumen State University Herald. Physical and Mathematical Modeling. Oil, Gas, Energy, 2018, V. 4, no. 3, pp. 146–164.

2. Savast'in M.Yu., Strekalov A.V., Purtova I.P., Analysis and interpretation of the dynamics of well operation modes (In Russ.), Geologiya, geofizika i razrabotka neftyanykh i gazovykh mestorozhdeniy, 2007, no. 6, pp. 34–36.

3. Batalov D.A., Razrabotka metoda lokalizatsii ostatochnykh zapasov nefti na pozdnikh stadiyakh razrabotki (Development of a method for localization of residual oil reserves in the late stages of field development): thesis of candidate of technical science, Tyumen, 2015.

The article is enlightened to the study of the problem of searching for the nature of the hydrodynamic interference of wells in the form of permeability coefficients along communication lines. The article highlights the theoretical foundations and mathematical description of the mathematical model that underlies the method of reference pressure curves for the search of permeability coefficients in the zones of impact of wells in the drainage radius and in directions to other wells of research area. For the first time, it is proposed to separate permeability to effect mass transfer processes and pressure impulse transmission. The permeability coefficient is characterized by a dichotomy: on the one hand, the higher the permeability, then smaller change in pressure during self-listening, on the other hand, the higher the permeability, then greater pressure change at a significant distance from the well. Thus, the article distinguishes piezoconductive permeability, which causes the directional propagation of the pulse, and, on the other hand, hydraulic conductive permeability, which causes pressure dispersion deep into the research zone of the formation. Also for increasing the reliability the authors proposed to introduce an additional coefficient of friction pressure loss in injection wells. This is extremely important, since the pressure at the mouth is measured, and the bottomhole pressure is significant. The pressure loss on linear friction in tubing is significant, reaching 1.5–2.0 MPa.

The model considered in the article and the method implemented on its basis were tested on synthetic hydrodynamic models and showed a good result. The method under consideration has a several limitations, for example, a representative time range within which reference pressure curves are selected. A formula for calculating the optimal value of this range is proposed.

References

1. Stepanov S.V., Sokolov S.V., Ruchkin A.A. et al., Considerations on mathematical modeling of producer-injector interference (In Russ.), Vestnik Tyumenskogo gosudarstvennogo universiteta. Fiziko-matematicheskoe modelirovanie. Neft', gaz, energetika = Tyumen State University Herald. Physical and Mathematical Modeling. Oil, Gas, Energy, 2018, V. 4, no. 3, pp. 146–164.

2. Savast'in M.Yu., Strekalov A.V., Purtova I.P., Analysis and interpretation of the dynamics of well operation modes (In Russ.), Geologiya, geofizika i razrabotka neftyanykh i gazovykh mestorozhdeniy, 2007, no. 6, pp. 34–36.

3. Batalov D.A., Razrabotka metoda lokalizatsii ostatochnykh zapasov nefti na pozdnikh stadiyakh razrabotki (Development of a method for localization of residual oil reserves in the late stages of field development): thesis of candidate of technical science, Tyumen, 2015.



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