A New Mathematical Model for Pressure Transient Analysis in Stress-Sensitive Reservoirs

Ren, Junjie; Guo, Ping

doi:10.1155/2014/485028

Cited by 9 publications

(6 citation statements)

References 40 publications

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“…To assess how the formation behaves as a whole with a decrease in reservoir pressure, it is also possible to use the data on the change in permeability obtained from the results of well testing. The mathematical model presented in [27] and based on pressure build-up curves makes it possible to predict the change in the permeability during the hydrocarbon production. The authors in [28][29][30][31][32][33] also study the nature of changes in fluid filtration in a reservoir as a result of changes in effective pressure and permeability and its relationship with the results of pressure build-ups.…”

Section: Introductionmentioning

confidence: 99%

Effect of Effective Pressure on the Permeability of Rocks Based on Well Testing Results

et al. 2021

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During the development of oil and gas fields, the permeability of the reservoirs decreases due to a decrease in reservoir pressure and an increase in effective pressure, as a result of which significant reserves of oil and gas remain in the reservoir. To predict the rate of decrease in oil production rates during field development and to respond quickly, it is necessary to know the law of permeability decrease with an increase in effective pressure. Existing methods for describing the change in the permeability of rocks were analyzed in the paper. Numerical analysis of the results of core studies from previously published papers and the results of field well testing on the examples of the north Perm region oil fields showed that in both cases, regardless of the type of rock and the type of reservoir, the change in permeability can be described by the same equations (exponential and power-law). Obtained equations can be used to predict changes in the permeability of terrigenous reservoirs of the north Perm region oil fields. At the same time, according to the results of well testing, an intensive decrease in permeability is observed with an increase in effective pressure. Analysis of the nature of permeability changes using the Two-Part Hooke’s Model showed that significant irreversible deformations are currently taking place in the formations of the oil fields under consideration. Predicting the change in permeability from effective pressure can allow to optimize the development of oil deposits.

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Section: Introductionmentioning

confidence: 99%

Effect of Effective Pressure on the Permeability of Rocks Based on Well Testing Results

et al. 2021

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“…The mathematical model presented in [32] is based on a modified power law model and enables the prediction of the change in the permeability of the rock when the effective pressure changes during hydrocarbon production. The model aimed to generate pressure build-up curves on the basis of the results of the core study that could be adjusted for the existing field data from well tests.…”

Section: Introductionmentioning

confidence: 99%

A Model of Reservoir Permeability Evolution during Oil Production

2021

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In this paper, we present a mathematical model to predict the evolution of rock permeability depending on effective pressure during oil production. The model is based on the use of the results of well testing data from wells operating in the oil fields of the Perm–Solikamsk region in the north of the Volgo Ural oil and gas province. Dependences of the change in flow characteristics in the reservoir on the effective pressure were established. We performed a comparative assessment using permeability and effective pressure data that were normalized to dimensionless forms of k/ko and P/Po. The factors and their influence on the nature of the change in permeability from the reservoir pressure were determined. Depending on the type of rock, its composition, initial permeability, and bedding conditions, we determined the limits of variation of the constants in empirical equations describing the change in the permeability of rocks from the effective pressure. The mathematical model we developed enables the prediction of the change in permeability of rocks during oil production from reservoirs on the basis of reservoir properties such as initial permeability, initial reservoir pressure, average bedding depth, net-to-gross ratio, and initial effective rock pressure.

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“…Zhang and Guo [9] established a mathematical model considering the gas slippage effect of a low-permeability gas reservoir and developed a pseudopressure function and pseudo-time function which made the mathematical model linearized. Based on the power function relationship between permeability and pressure, Ren and Guo [10] launched an unsteady flow model in the stress-sensitive reservoir to analyze the gas productivity.…”

Section: Introductionmentioning

confidence: 99%

Mathematical Simulation about Gas Transport in a Dual-Porosity Tight Gas Reservoir considering Multiple Effects

Chen

Song

et al. 2021

Geofluids

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Threshold pressure gradient, gas slippage, and stress sensitivity have important effects on the production of a tight gas reservoir. But previous studies only focused on one or two of these effects. In this study, a mathematical model considering these three effects was established to describe gas transport in a dual-porosity tight gas reservoir. Threshold pressure gradient, gas slippage, and stress sensitivity are simultaneously considered in the velocity term of continuity equation which is mainly different from the previous research results. The partial differential equation and definite solution condition are discretized by a central difference method. A finite difference procedure was compiled and applied to solve this numerical model and predict the productivity of a production well in a dual-porosity tight gas reservoir. The difference between the predicted and tested cumulative production is less than 10%, which indicates that the proposed mathematical model can be used to describe the characteristics of gas flow in the dual-porosity tight gas reservoir. Then, gas productivity of five different scenarios considering these effects was compared. Results show that both stress sensitivity and threshold pressure gradient are negatively correlated with gas production, while gas slippage is positively correlated with gas production. Among them, stress sensitivity has the greatest impact on the production of a dual-porosity tight gas reservoir. Overall, these three effects have great influence on the development of the dual-porosity tight gas reservoir, which should be considered in the production prediction.

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A New Mathematical Model for Pressure Transient Analysis in Stress-Sensitive Reservoirs

Cited by 9 publications

References 40 publications

Effect of Effective Pressure on the Permeability of Rocks Based on Well Testing Results

Effect of Effective Pressure on the Permeability of Rocks Based on Well Testing Results

A Model of Reservoir Permeability Evolution during Oil Production

Mathematical Simulation about Gas Transport in a Dual-Porosity Tight Gas Reservoir considering Multiple Effects

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