Analysis of oil and gas flow characteristics in the reservoir with the elastic outer boundary

Li, Shunchu; Zhao, Chaochao; Zheng, Pengshe; Gui, Qinmin

doi:10.1016/j.petrol.2018.12.042

Cited by 18 publications

(6 citation statements)

References 9 publications

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“…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. It is concluded that the elastic outer boundary is the extension of the three kinds of outer boundary conditions commonly used in petroleum engineering, and a homogeneous reservoir seepage model closer to the actual seepage characteristics is established.…”

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

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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%

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

Jiang,

Zheng,

et al. 2023

Preprint

Self Cite

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“…According to Eq. (1), in oil and gas reservoir engineering, the concept of the elastic outer boundary is proposed, and the elastic coefficient of pressure difference P = p 0 − p(r, t) with respect to radial radius r is defined as follows [3] P r reflects the influence of the change amplitude Δr r of radial radius r on the change amplitude ΔP P of pressure difference P, that is, it reflects the intensity of ln P relative to the change of ln r . Specifically, P r (r 1 , t 1 ) indicates that at r = r 1 , t = t 1 , when the time t = t 1 remains constant and ln r changes by 1%, ln P changes approximately by P r (r 1 , t 1 )% .…”

Section: Introductionmentioning

confidence: 99%

“…In recent three years, the elastic outer boundary conditions have been applied to the reservoir seepage model [3,4], replacing the three special outer boundary conditions commonly used before. The results show that the elastic outer boundary conditions can better reflect the real situation of the reservoir than the special outer boundary conditions.…”

Section: Introductionmentioning

confidence: 99%

“…The results show that the elastic outer boundary conditions can better reflect the real situation of the reservoir than the special outer boundary conditions. At the same time, the similar construction method used to solve the reservoir seepage model has also been greatly developed [3][4][5][6][7], and the simple algebraic method used to solve the seepage model has provided great convenience for scholars.…”

Section: Introductionmentioning

confidence: 99%

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Analysis of flow characteristics of the dual media shale gas reservoir with the elastic outer boundary

Zheng

et al. 2021

SN Appl. Sci.

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In order to more accurately describe the seepage characteristics of shale gas reservoirs, in this paper, an elastic outer boundary condition is introduced, and a new dual-media shale gas seepage model is established to describe the seepage characteristics of shale gas reservoirs more accurately, while considering the adsorption and desorption process. Combining Laplace transformation and Similar Structure Method, the solution of the percolation model is obtained in Laplace space. Furthermore, the solutions are inverted into real space with the Stehfest numerical inversion method. Type curves of dimensionless pressure and dimensionless pressure derivative can be used to evaluate the reservoir characteristics. The results show that the conventional three kinds of outer boundary conditions (infinite, constant pressure and closed) are actually three special cases of elastic outer boundary. The introduction of elastic outer boundary conditions not only expands the scope of data interpretation, but also closer to the actual situation of the outer boundary of the reservoir. The theory of similar structure greatly simplifies the complex process of solving the model and will have a far-reaching impact on the development of well test analysis software in the future.

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“…Razminia et al (2015a, b) established a fractal reservoir seepage model by considering skin factor, coefficient of wellbore reservoir and other factors, they solved model using the fractional order theory, the characteristic curves of reservoir pressure and its derivative were drawn and analysis of sensitivity was carried out. By considering the elastic outer boundary, Li et al (2019) established a homogeneous seepage model, which could reflect the changes of reservoir pressure better. Dong et al (2019a, b) used Similar Constructing Method to solve fractal reservoir model with the boundary condition which is only in fixed boundary condition, i.e.the elastic boundary condition is not taken into account.…”

Section: Introductionmentioning

confidence: 99%

The elastic boundary value problem of extended modified Bessel equation and its application in fractal homogeneous reservoir

Guo

Zheng

et al. 2020

Comp. Appl. Math.

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By introducing the elastic boundary value condition, the elastic boundary value problem of extended modified Bessel equation is proposed, we can use the following method to solve it. First, two linear independent solutions of extended modified Bessel equation are obtained. Second, the generating function of solution is constructed. Third, the kernel function of solution is constructed using the elastic right value condition. Finally, the solution is obtained by assembling coefficients with the left boundary value condition. As for its application, a fractal homogeneous reservoir seepage model under the elastic outer boundary condition is established, and solution of the model is obtained. Influences of reservoir parameters on characteristic curves corresponding to dimensionless bottom hole pressure and its derivative are analyzed, which provide a new theoretical basis for exploring the flow law of oil. It can be found that seepage model under the elastic outer boundary condition regards three idealized outer boundary conditions (infinite, constant pressure and closed) and homogeneous reservoir seepage model without considering fractal as special cases, so it can reflect real situation of reservoir better and it is helpful to the development of related well test analysis software. Keywords Extended modified Bessel equation • Elasticity • Fractal homogeneous reservoir • The generating function • The kernel function Mathematics Subject Classification 03C98 • 33B99 • 34B60 • 3B340 List of symbols B Oil volume factor (m 3 /m 3) C Well storage coefficient (m 3 /MPa) Communicated by Jorge X. Velasco.

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Analysis of oil and gas flow characteristics in the reservoir with the elastic outer boundary

Cited by 18 publications

References 9 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

Analysis of flow characteristics of the dual media shale gas reservoir with the elastic outer boundary

The elastic boundary value problem of extended modified Bessel equation and its application in fractal homogeneous reservoir

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