International Journal of Engineering

International Journal of Engineering

Impact of Effective Pressure Variations on Reservoir Rock Porosity and Compressibility

Document Type : Special Issue on FPP

Authors
Petroleum Engineering Department, Empress Catherine II Saint Petersburg Mining University, Saint Petersburg, Russia
Abstract
Pressure transient analysis programs typically use a linear diffusion equation. However, according to extensive petrophysical investigations by various authors, the relationship between porosity and pressure is nonlinear. This factor, like the reservoir compressibility coefficient, can significantly impact the accuracy of various transient flow problems. This applies particularly to determining the distance to reservoir boundaries and estimating reserves using pressure buildup tests for exploratory wells. Therefore, the aim of this study was to investigate the predominant type of porosity pressure function for subsequent refinement of the diffusion equation used for PTA. To solve the set task, petrophysical studies of core samples from terrigenous and carbonate formations were conducted in a pressure range of 1.44–64.65 MPa (200–9000 psi) using a compression rig. The results were compared with studies by other authors. These studies are not unique, but the results obtained differ from generally accepted ones. It is shown that the dependence of porosity on pressure follows a logarithmic law, rather than an exponential one, as is commonly believed. PTA calculations have demonstrated a significant impact of compressibility coefficient variability on the accuracy of determining the distance to reservoir boundaries. A detailed study revealed that core unloading results in an abrupt change in the compressibility coefficient, caused by the formation of microcracks. Therefore, using linear and exponential porosity-pressure relationships with a constant compressibility coefficient is highly inappropriate for solving PTA problems. 

Graphical Abstract

Impact of Effective Pressure Variations on Reservoir Rock Porosity and Compressibility
Keywords

Subjects


1.    Shchelkachev VN. Fundamentals and applications of the theory of unsteady filtration. 1995; 493 p.
2.    Hurst W. Establishment of the skin effect and its impediment to fluid flow into a well bore. The Petroleum Engineer, 1953.
3.    Petrakov DG, Penkov GM, Zolotukhin AB. Experimental study on the effect of rock pressure on sandstone permeability. Journal of Mining Institute, 2022; 254: 244-51. https://doi.org/10.31897/PMI.2022.24
4.    Bykov AA, Bychkov AA, Bereznikova MV. Modified piezoconductivity equation for modeling unsteady filtration processes in a cavernous medium. MSEA, 2022; 71(2). https://doi.org/10.17762/msea.v71i2.75
5.    Barenblatt GI, Yentov VM, Ryzhik VM. Theory of unsteady filtration of liquid and gas. Moscow: Nedra; 1972. 288 p.
6.    Zheltov YP. Mechanics of oil and gas bearing strata. Moscow: Nedra; 1975. 216 p.
7.    Warren JE, Root PJ. The behavior of naturally fractured reservoirs. Society of Petroleum Engineers Journal, 1963; 3(3): 245-55. https://doi.org/10.2118/426-PA
8.    Vyalov SS. Rheological bases of soil mechanics. Higher School; 1978. 447 p.
9.    Panteleev IA, Lyakhovsky V, Mubassarova VA, Karev VI, Shevtsov NI, Shalev E. Tensor compaction of porous rocks: Theory and experimental verification. Journal of Mining Institute, 2022; 254: 234-43. https://doi.org/10.31897/PMI.2022.30
10.    Hu Y, Guo Y, Qing H, Hou Y. Study on influencing factors and mechanism of pore compressibility of tight sandstone reservoir: A case study of Upper Carboniferous in Ordos Basin. Frontiers in Earth Science, 2023; 10: 1100951. https://doi.org/10.3389/feart.2022.1100951
11.    Allain O, Tauzin E. Dynamic flow analysis. KAPPA; 2018.
12.    Molokovich YM, Markov AI, Davletshin AA. Piezometry of well neighbourhood. Kazan: DAS; 1990. 203 p.
13.    Savinkova LD. Fundamentals of underground oil and gas hydromechanics. 2017.
14.    Filippov AI, Sabitov KB. Initial-boundary problem for the piezoconductivity equation describing filtration in a layered oil reservoir. Lobachevskii Journal of Mathematics, 2024; 45(11): 5467-79. https://doi.org/10.1134/S1995080224606568
15.    Guo W, Li J, Wang T, He T, Xie D, Liao Y, Liu C. Experimental study on the evolution law of permeability characteristics of salt rocks under different temperatures and pore pressures. Rock Mechanics and Rock Engineering, 2025; 58(3): 4091-113. https://doi.org/10.1007/s00603-024-04349-9
16.    Santiago V, Rodger I, Hayes P, Leonardi C, Deisman N. Understanding compressibility coefficients in heterogeneous fractured rocks and implications for CSG reservoir simulation. SPE Asia Pacific Unconventional Resources Conference and Exhibition, 2023. https://doi.org/10.2118/217281-MS
17.    Khristianovich SA. Mechanics of continuous medium. Science; 1981. 484 p.
18.    Farahani M, Aghaei H, Masoumi H. Effect of pore type on porosity, permeability and pore volume compressibility due to in-situ stress change. Journal of Petroleum Science and Engineering, 2022; 218: 110986. https://doi.org/10.1016/j.petrol.2022.110986
19.    Nikolaevskiy VN. About the basic equations of the dynamics of elastic porous media saturated with liquid. 2012. 234 p.
20.    Zhukov V, Kuzmin Y. Experimental evaluation of compressibility coefficients for fractures and intergranular pores of an oil and gas reservoir. Journal of Mining Institute, 2021; 251: 658-66. https://doi.org/10.31897/PMI.2021.5.5
21.    Basniev KS, Nikolaevski VS. On basic equations of filtration in compressible porous media. 1961; 2(3): 52-55.
22.    Farahani M, Aghaei H, Saki M, Asadolahpour SR. Prediction of pore volume compressibility by a new non-linear equation in carbonate reservoirs. Energy Geoscience, 2022; 3(3): 290-9. https://doi.org/10.1016/j.engeos.2022.04.005
23.    Buslaev GV, Konoplyannikov AV. Mathematical modeling of a hydro-mechanical system with a positive displacement motor and hydraulic thruster to optimize the drilling process for extended-reach drilling wells. International Journal of Engineering Transactions B: Applications, 2026; 39(5): 1077-87. https://doi.org/10.5829/ije.2026.39.05b.03
24.    Liu C, Yu B, Zhang D, Zhao H. Experimental study on strain behavior and permeability evolution of sandstone under constant amplitude cyclic loading-unloading. Energy Science & Engineering, 2020; 8(2): 452-65. https://doi.org/10.1002/ese3.527
25.    Kallesten E, Andersen P, Korsnes R, Madland M, Omdal E. Modeling of permeability and strain evolution in chemical creep compaction experiments with fractured and unfractured chalk cores at reservoir conditions. SPE Journal, 2020; 25: 2710-28. https://doi.org/10.2118/197371-PA
 
 
 
 
 
 
 
26.    Xu R, Wang L, Zhao X, Mao Y. Characterizing permeability-porosity relationships of porous rocks using a stress sensitivity model considering elastic-structural deformation and tortuosity sensitivity. Journal of Rock Mechanics and Geotechnical Engineering, 2024; 16(9): 3437-51. https://doi.org/10.1016/j.jrmge.2024.01.020
27.    Liu B, Yang Y, Li J, Chi Y, Li J, Fu X. Stress sensitivity of tight reservoirs and its effect on oil saturation: A case study of Lower Cretaceous tight clastic reservoirs in the Hailar Basin. Journal of Petroleum Science and Engineering, 2020; 184: 106484. https://doi.org/10.1016/j.petrol.2019.106484
28.    Jiang X, Deng S, Li H, Zuo H. Characterization of 3D pore nanostructure and stress-dependent permeability of organic-rich shales in northern Guizhou Depression. Journal of Rock Mechanics and Geotechnical Engineering, 2022; 14(2): 407-22. https://doi.org/10.1016/j.jrmge.2021.08.019
29.    Bohnsack D, Potten M, Freitag S, Einsiedl F, Zosseder K. Stress sensitivity of porosity and permeability under varying hydrostatic stress conditions for different carbonate rock types of the geothermal Malm reservoir. Geothermal Energy, 2021; 9(1): 15. https://doi.org/10.1186/s40517-021-00197-w
30.    Pshenin V, Sleptsov A, Dukhnevich L. Prospects of improving the vibroacoustic method for locating buried non-metallic pipelines. Eng, 2025; 6: 121. https://doi.org/10.3390/eng6060121
31.    Raupov I, Rogachev M, Sytnik J. Overview of modern methods and technologies for the well production of high- and extra-high-viscous oil. Energies, 2025; 18(6): 1498. https://doi.org/10.3390/en18061498
32.    Khuzin RR, Andreev VE, Mukhametshin VV, Kuleshova LS, Dubinskiy GS, Safiullina AR. Influence of hydraulic compression on porosity and permeability properties of reservoirs. Journal of Mining Institute, 2021; 251: 688-97. https://doi.org/10.31897/PMI.2021.5.8
33.    Podoprigora D, Rogachev M, Byazrov R. Surfactant-polymer formulation for chemical flooding in oil reservoirs. Energies, 2025; 18: 1814. https://doi.org/10.3390/en18071814
34.    Gaurina-Medimurec N, Simon K, Mavar KN, Pasic B, Mijic P, Medved I, Brkic V, Hrncevic L, Zbulj K. The circular economy in the oil and gas industry: A solution for the sustainability of drilling and production processes. In: Circular Economy on Energy and Natural Resources Industries. Cham: Springer; 2024: 115-50. https://doi.org/10.1007/978-3-031-56284-6_7
35.    Iktissanov VA, Iktissanov AV, Bernatov MS. Rough consideration of changes in formation and oil compressibility during unsteady-state flow. Neftyanaya Provintsiya, 2025; 3(43): 150-69. https://doi.org/10.25689/NP.2025.3.150-169
36.    Vasquez M, Beggs HD. Correlations for fluid physical properties prediction. Journal of Petroleum Technology, 1980; 32. https://doi.org/10.2118/6719-PA