Similar structure of solution for triple media shale gas reservoir

Li, Shunchu; Zhang, Duo; Zheng, Pengshe; Gui, Qinmin

doi:10.1016/j.petrol.2017.02.008

Cited by 14 publications

(4 citation statements)

References 9 publications

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“…(1) The reservoir is of homogeneous, horizontal, isopachous and anisotropic; (2) The gas seepage is single-phase, gravity and capillary force are also ignored; (3) The temperature at each point in the shale gas reservoir remains unchanged, that is the seepage process is of isothermal; (4) Stress sensitivity of fractures are not considered; (5) The skin factor of matrix and fracture are the same; (6) Shale gas formation is slightly compressible, and its micro-compressibility coefficient is a constant; (7) Fractures are hydraulic fractures, and production is determined by the shale gas wells; (8) The matrix cannot supply shale gas directly to the wellbore, and the matrix can produce quasi-steady state interflow to the fracture (Fig. 1).…”

Section: The Establishment Of Dual-media Seepage Model For Shale Gas Reservoirs Under the Elastic Outer Boundary Condition And Its Solutimentioning

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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Section: The Establishment Of Dual-media Seepage Model For Shale Gas Reservoirs Under the Elastic Outer Boundary Condition And Its Solutimentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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 2018, Dong et al [25] used the similar structure method to solve a class of two-zone radial composite reservoirs considering wellbore storage and skin factors, and then used laplace transform and Gaver-Stehfest numerical inversion to obtain the similar structure solution of the real space. In 2017, Zhang et al [26] introduced the similar structure method into the shale gas seepage model. In view of the limitations of the traditional shale gas reservoir model in describing the shale gas flow process, a triple medium shale gas reservoir seepage model considering the adsorption and desorption process was 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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“…A large number of scholars at home and abroad have studied the flow pattern of fractured horizontal wells [1]- [7]. Giger first discussed the problem of horizontal well fracturing in 1985.…”

Section: Introductionmentioning

confidence: 99%

Single Fuzzy Parameter Seepage Model of Oil and Gas Reservoir

Zhang

Shu

et al. 2019

IEEE Access

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In the process of modeling, the reservoir permeability is often regarded as a certain value in the traditional flow model of oil and gas reservoir, but most reservoir areas are uneven and complex and so this idealization will lead to a great decrease in the accuracy of the model. Given this, this paper puts forward fuzzy permeability, which makes the model more in line with the seepage situation, and then improves the accuracy of the model. At the same time, the fuzzy function theory is studied deeply and systematically. On this basis, according to the seepage law and physical property of the oil and gas reservoir, the fuzzy seepage differential equation and the fuzzy boundary value condition of the reservoir are established. Then, the solution of the fuzzy seepage problem of the oil and gas reservoir is achieved. Compared with the traditional seepage model, the fuzzy seepage model can describe the flow in the reservoir more accurately. The definition of fuzzy permeability and the construction of fuzzy seepage equation provide a new method and a novel idea for studying the seepage of the reservoir. INDEX TERMS Fuzzy permeability, fuzzy differential equation, fuzzy seepage, oil and gas reservoir.

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Similar structure of solution for triple media shale gas reservoir

Cited by 14 publications

References 9 publications

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

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

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

Single Fuzzy Parameter Seepage Model of Oil and Gas Reservoir

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