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Pseudo-pressure behavior in multilayered reservoir for single phase flow with permeability-pressure dependent
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Jessica Lailla Ferreira Bittencourt Neto*, Sineésio Pesco, Abelardo Borges Barreto Júnior
Petroleum Research | 2026, 11(1) : 50 - 62
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Petroleum Research | 2026, 11(1): 50-62
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Pseudo-pressure behavior in multilayered reservoir for single phase flow with permeability-pressure dependent
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Jessica Lailla Ferreira Bittencourt Neto*, Sineésio Pesco, Abelardo Borges Barreto Júnior
Affiliations
  • Department of Mathematics, Pontifical Catholic University of Rio de Janeiro, Rio de Janeiro, 22451-900, Brazil
About Author:

E-mail addresses: (S. Pesco)

(A. Borges Barreto Júnior).

Published: 2026-03-10 doi: 10.1016/j.ptlrs.2025.07.002
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Mathematical techniques continue to become more advanced in developing more complex solutions in different fields, especially in oil reservoir simulation, where various physical parameters are still unknown. Studying different simulation cases that improve predictability is required to comprehend the wellbore behavior under production properly. This article proposes a new analysis method that utilizes the first-order asymptotic expansion method to address single-phase oil flow in multilayered reservoirs with permeability-pressure dependent and source terms. The classical techniques, like pseudo-pressure functions, although offering small linearization of the diffusivity equation, are found to be insufficient and thus require more efficient techniques like the Perturbation Method. The proposed model allows detailed analysis of different reservoir properties and pressure-dependent permeability curves, therefore allowing for more effective optimization and understanding of the flow behavior in complex geological conditions.

Pressure dependent permeability  /  Multilayered reservoir  /  Green's function  /  Pseudo-pressure
Jessica Lailla Ferreira Bittencourt Neto, Sineésio Pesco, Abelardo Borges Barreto Júnior. Pseudo-pressure behavior in multilayered reservoir for single phase flow with permeability-pressure dependent[J]. Petroleum Research, 2026 , 11 (1) : 50 -62 . DOI: 10.1016/j.ptlrs.2025.07.002
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  • Coordenação de Aperfeiçoamento de Pessoal de Nível Superior - Brasil (CAPES)(001)
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Year 2026 volume 11 Issue 1
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Article Info
doi: 10.1016/j.ptlrs.2025.07.002
  • Receive Date：2024-11-12
  • Online Date：2026-10-14
  • Published：2026-03-10
Article Data
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History
  • Received：2024-11-12
  • Revised：2025-07-03
  • Accepted：2025-07-03
Funding
Coordenação de Aperfeiçoamento de Pessoal de Nível Superior - Brasil (CAPES)(001)
Affiliations
    Department of Mathematics, Pontifical Catholic University of Rio de Janeiro, Rio de Janeiro, 22451-900, Brazil

Corresponding:

* (J. Lailla Ferreira Bittencourt Neto)
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表12种不同金属材料的力学参数
科
Family		 属数
Number of
genus		 种数
Number of
species		 占总种数比例
Percentage of
total species (%)		 属
Genus		 种数
Number of
species		 占总种数比例
Percentage of total
species (%)
鹅膏菌科Amanitaceae 2 11 5.26 鹅膏菌属 Amanita 10 4.78
小菇科 Mycenaceae 2 12 5.74 丝盖伞属 Inocybe 5 2.39
多孔菌科 Polyporaceae 8 14 6.70 蜡蘑属 Laccaria 5 2.39
红菇科 Russulaceae 3 23 11.00 小皮伞属 Marasmius 6 2.87
小菇属 Mycena 11 5.26
光柄菇属 Pluteus 5 2.39
红菇属 Russula 17 8.13
栓菌属 Trametes 5 2.39
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