Similar construction method for non-Newtonian power-law fluid seepage models with elastic outer boundary conditions

Sun, Chang; Zheng, Panpan; Xue, Qian; Leng, Lihui

doi:10.1007/s00419-023-02456-7

Cited by 2 publications

(2 citation statements)

References 23 publications

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“…Until 1997, Woods et al [16] gave a mathematical expression of elasticity. So elasticity began to be used in chemistry, physics, economics and other fields [17,22]. In 2019, Li et al [19] introduced the elastic outer boundary into the homogeneous composite reservoir for the first time.…”

Section: Introductionmentioning

confidence: 99%

“…It was found that the elastic external boundary is located between the three ideal state boundaries, which can more truly reflect the seepage law. Sun et al [22] introduced the elastic outer boundary into the non-Newtonian power homogeneous reservoir, and found that the elastic outer boundary mainly affects the later stage of seepage, and it is more general than the ideal outer boundary, which is the promotion of the traditional ideal outer boundary. However, elasticity is a quantity that changes with radius and time.…”

Section: Introductionmentioning

confidence: 99%

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Studying on the solution of fractal composite reservoir seepage model with linear fault under elastic outer boundary

Jiang,

Zheng,

et al. 2023

Preprint

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In this paper, a fractal composite reservoir seepage model considering wellbore storage and skin factor is established for composite reservoirs with linear faults. The traditional three ideal external boundary conditions are generalized into elastic external boundary conditions. Through the dimensionless transformation and laplace transformation of the seepage model, combined with the mirror reflection method and the superposition principle, the similar structure solution of the dimensionless bottom hole pressure with the fault located in the inner zone and the mirror well located in the inner and outer zones is obtained by using the similar structure method. The Stehfest numerical inversion method is used to draw the typical characteristic curve of dimensionless bottom hole pressure and pressure derivative in real space, and the sensitivity analysis of the parameters is carried out. The results show that on the one hand, the distance between the fault and the production well has a great influence on the dimensionless pressure at the bottom of the well. On the other hand, the introduction of the elastic outer boundary can better describe the seepage characteristics of the reservoir and is more general. The research results are of great significance to the mining strategy of composite reservoirs, and also provide a new theoretical basis for further study of composite reservoirs with linearfaults.

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Studying on the solution of fractal composite reservoir seepage model with linear fault under elastic outer boundary

Jiang,

Zheng,

et al. 2023

Preprint

View full text Add to dashboard Cite

show abstract

Similar construction method for non-Newtonian power-law fluid seepage models with elastic outer boundary conditions

Cited by 2 publications

References 23 publications

Studying on the solution of fractal composite reservoir seepage model with linear fault under elastic outer boundary

Studying on the solution of fractal composite reservoir seepage model with linear fault under elastic outer boundary

Similar Structure of Solutions for Boundary Value Problems of a Class of Composite Modified Bessel Equations

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