Well-Testing Model for Dual-Porosity Reservoir considering Stress-Sensitivity and Elastic Outer Boundary Condition

Stress sensitivity and the elastic outer boundary (EOB) condition have a great effect on the analysis of the characteristics of the fluid flow in a reservoir. When researchers analyzed the characteristics of the fluid flow, they have considered the stress sensitivity and the EOB condition separately...

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Main Authors: Song Chol Kim, Song Guk Han, Yong Il Song, Jin Sim Kim, Myong Gun Hong
Format: Article
Language:English
Published: Wiley 2023-01-01
Series:Geofluids
Online Access:http://dx.doi.org/10.1155/2023/4658604
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author Song Chol Kim
Song Guk Han
Yong Il Song
Jin Sim Kim
Myong Gun Hong
author_facet Song Chol Kim
Song Guk Han
Yong Il Song
Jin Sim Kim
Myong Gun Hong
author_sort Song Chol Kim
collection DOAJ
description Stress sensitivity and the elastic outer boundary (EOB) condition have a great effect on the analysis of the characteristics of the fluid flow in a reservoir. When researchers analyzed the characteristics of the fluid flow, they have considered the stress sensitivity and the EOB condition separately but have not considered them simultaneously. Therefore, errors are inevitable during the analysis of well testing. The main object of this work is to present a well-testing model for stress-sensitivity dual-porosity reservoir (DPR) with EOB to improve the accuracy of the analysis of well-testing data. To this end, in this paper, we established a well-testing model for the DPR, considering the stress sensitivity and the EOB simultaneously, and presented its semianalytical solution. On the basis of the consideration of the EOB condition and stress sensitivity of permeability (SSP), a seepage model for the DPR with the EOB is built using the continuity equation, motion equation, state equation, and interporosity flow equation between matrix and fracture, which considers the stress sensitivity, wellbore storage, and skin. To solve this model, a nonlinear partial differential equation is changed into a linear form of a partial differential equation by introducing an effective well radius and applying Pedrosa’s transformation and perturbation transformation. Applying the Laplace transformation, an analytical solution in the Laplace space is obtained, and curves of pressure and pressure derivative (PPD) are drawn by numerically inverting them. The model is verified by comparing it with the EOB without consideration of SSP and using case data. The sensitivity of parameters on the curves of PPD is analyzed. This work may be significant for evaluating more accurately the parameters of wells and reservoirs using well testing.
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spelling doaj-art-9f1434f7235d480ea9e399b7832e9c9b2025-02-03T01:29:41ZengWileyGeofluids1468-81232023-01-01202310.1155/2023/4658604Well-Testing Model for Dual-Porosity Reservoir considering Stress-Sensitivity and Elastic Outer Boundary ConditionSong Chol Kim0Song Guk Han1Yong Il Song2Jin Sim Kim3Myong Gun Hong4Faculty of Earth Science and TechnologyFaculty of Earth Science and TechnologyFaculty of Earth Science and TechnologyInternational Technology Cooperation CenterFaculty of Earth Science and TechnologyStress sensitivity and the elastic outer boundary (EOB) condition have a great effect on the analysis of the characteristics of the fluid flow in a reservoir. When researchers analyzed the characteristics of the fluid flow, they have considered the stress sensitivity and the EOB condition separately but have not considered them simultaneously. Therefore, errors are inevitable during the analysis of well testing. The main object of this work is to present a well-testing model for stress-sensitivity dual-porosity reservoir (DPR) with EOB to improve the accuracy of the analysis of well-testing data. To this end, in this paper, we established a well-testing model for the DPR, considering the stress sensitivity and the EOB simultaneously, and presented its semianalytical solution. On the basis of the consideration of the EOB condition and stress sensitivity of permeability (SSP), a seepage model for the DPR with the EOB is built using the continuity equation, motion equation, state equation, and interporosity flow equation between matrix and fracture, which considers the stress sensitivity, wellbore storage, and skin. To solve this model, a nonlinear partial differential equation is changed into a linear form of a partial differential equation by introducing an effective well radius and applying Pedrosa’s transformation and perturbation transformation. Applying the Laplace transformation, an analytical solution in the Laplace space is obtained, and curves of pressure and pressure derivative (PPD) are drawn by numerically inverting them. The model is verified by comparing it with the EOB without consideration of SSP and using case data. The sensitivity of parameters on the curves of PPD is analyzed. This work may be significant for evaluating more accurately the parameters of wells and reservoirs using well testing.http://dx.doi.org/10.1155/2023/4658604
spellingShingle Song Chol Kim
Song Guk Han
Yong Il Song
Jin Sim Kim
Myong Gun Hong
Well-Testing Model for Dual-Porosity Reservoir considering Stress-Sensitivity and Elastic Outer Boundary Condition
Geofluids
title Well-Testing Model for Dual-Porosity Reservoir considering Stress-Sensitivity and Elastic Outer Boundary Condition
title_full Well-Testing Model for Dual-Porosity Reservoir considering Stress-Sensitivity and Elastic Outer Boundary Condition
title_fullStr Well-Testing Model for Dual-Porosity Reservoir considering Stress-Sensitivity and Elastic Outer Boundary Condition
title_full_unstemmed Well-Testing Model for Dual-Porosity Reservoir considering Stress-Sensitivity and Elastic Outer Boundary Condition
title_short Well-Testing Model for Dual-Porosity Reservoir considering Stress-Sensitivity and Elastic Outer Boundary Condition
title_sort well testing model for dual porosity reservoir considering stress sensitivity and elastic outer boundary condition
url http://dx.doi.org/10.1155/2023/4658604
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AT yongilsong welltestingmodelfordualporosityreservoirconsideringstresssensitivityandelasticouterboundarycondition
AT jinsimkim welltestingmodelfordualporosityreservoirconsideringstresssensitivityandelasticouterboundarycondition
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