30 May 2022 to 2 June 2022
Asia/Dubai timezone

Study on laboratory measurement method of anisotropic permeability based on passive differential pressure ratio

30 May 2022, 09:40
1h 10m
Poster Presentation (MS14) Uncertainty Quantification in Porous Media Poster

Speaker

Dr Xuehao Pei

Description

Permeability is a key parameter to control material and energy transport in porous media. However, the anisotropy of permeability makes it difficult to measure accurately in laboratory. In this paper, a detailed theoretical analysis of the anisotropic porous media flow process is carried out, and it is found that all physical quantities exhibit point-centered symmetry during the one-dimensional stable displacement of anisotropic porous media, while a passive pore fluid pressure difference is generated in the vertical direction of displacement. For an anisotropic sample with unknown principal axes, there are systematic errors in the designed method for adopting Darcy's law directly or calculating the components of the permeability tensor using the outlet fluid production profile. For anisotropic porous media, the permeability tensor cannot be solved by a simple analytical formula because the flowing state of each internal part is not completely uniform, and a standard plate can be established to fit the solution.
On this basis, a two-dimensional and three-dimensional anisotropic permeability tensor test method based on the passive differential pressure ratio is established, and the two-dimensional and three-dimensional passive differential pressure ratio plates are given based on conventional plates and Gaussian process regression, respectively. The permeability tensor can be obtained by measuring the pressure difference perpendicular to the direction of displacement in the one-dimensional stable displacement process based on the constructed plots. The case test shows that the core test data are consistent with the theoretical analysis, and the method has high reliability and practicality.

References

[1] Davies, J. Huw. “The role of hydraulic fractures and intermediate-depth earthquakes in generating subduction-zone magmatism.” Nature 398 (1999): 142-145.
[2] Montgomery, David R. and Michael Manga. “Streamflow and Water Well Responses to Earthquakes.” Science 300 (2003): 2047 - 2049.
[3] Fisher, Andrew T. and Katharina Becker. “Channelized fluid flow in oceanic crust reconciles heat-flow and permeability data.” Nature 403 (2000): 71-74.
[4] Gonnermann, Helge M. and Michael Manga. “Explosive volcanism may not be an inevitable consequence of magma fragmentation.” Nature 426 (2003): 432-435.
[5] DE BOODT, M. F. and D. J. Kirkham. ANISOTROPY AND MEASUREMENT OF AIR PERMEABILITY OF SOIL CLODS. Soil Science 76 (1953): 127–134.
[6] Greenkorn, Robert Albert et al. Directional Permeability of Heterogeneous Anisotropic Porous Media. Society of Petroleum Engineers Journal 4 (1964): 124-132.
[7] Scheidegger, Adrian E.. Directional permeability of porous media to homogeneous fluids. Geofisica pura e applicata 28 (1954): 75-90.
[8] Scheidegger, Adrian E.. On directional permeability. Geofisica pura e applicata 33 (1956): 111-113.
[9] Guo, Peijun GuoP.. Dependency of Tortuosity and Permeability of Porous Media on Directional Distribution of Pore Voids. Transport in Porous Media 95 (2012): 285-303.
[10] Lang, Philipp, Adriana Paluszny and Robert W. Zimmerman. Permeability tensor of three‐dimensional fractured porous rock and a comparison to trace map predictions. Journal of Geophysical Research 119 (2014): 6288-6307.
[11] Johnson, W. E., and R. V. Hughes, Directional permeability measurements and their significance. Penn. State Coll. Mineral. Inds. Exp. Sta., Bull. (1948) 52, 180–205.
[12] Greenkorn, Robert Albert et al. “Directional Permeability of Heterogeneous Anisotropic Porous Media.” Society of Petroleum Engineers Journal 4 (1964): 124-132.
[13] Woerdeman, Dara L. et al. “Interpretation of 3-D permeability measurements for RTM modeling.” Polymer Composites 16 (1995): 470-480.
[14] Auzerais, François M. et al. “Laboratory Characterization of Anisotropic Rocks.” Software - Practice and Experience (1990): n. pag.
[15] Hurst, Andrew R. and K. J. Rosvoll. “PERMEABILITY VARIATIONS IN SANDSTONES AND THEIR RELATIONSHIP TO SEDIMENTARY STRUCTURES.” (1991).
[16] Bieber, M-T. et al. “Measurement and Overall Characterization of Permeability Anisotropy by Tracer Injection.” Oil & Gas Science and Technology-revue De L Institut Francais Du Petrole 51 (1996): 333-347.
[17] Rice, Philip A. et al. “Anisotropic Permeability in Porous Media.” Industrial & Engineering Chemistry 62 (1970): 23-31.
[18] Bear, Jacob. “Dynamics of Fluids in Porous Media.” Soil Science 120 (1972): 150-151.
[19] Bernabé, Yves. “Chapter 6 On the Measurement of Permeability in Anisotropic Rocks.” International Geophysics 51 (1992): 147-167.
[20] Burger, Robert L. and Kenneth Belitz. “Measurement of anisotropic hydraulic conductivity in unconsolidated sands: A case study from a shore.” Water Resources Research (1997): n. pag.
[21] Asadi, Mahmoud et al. “Anisotropic Permeability Measurement of Porous Media: A 3-Dimensional Method.” (2000).
[22] Renard, Philippe, Alain Genty and F. Stauffer. “Laboratory determination of the full permeability tensor.” Journal of Geophysical Research 106 (2001): 26443-26452.
[23] Liu Yuetian, Guo fenqiao, Tu bin, et al Measuring method for anisotropic permeability by non-uniform radial flow in a whole core, Journal of petroleum, (2005) 26 (6): 66-68
[24] Ma, C. Y. et al. “Simulated flow model of fractured anisotropic media: Permeability and fracture.” Theoretical and Applied Fracture Mechanics 65 (2013): 28-33.
[25] Chan, Albert W. et al. “Anisotropic Permeability of Fiber Preforms: Constant Flow Rate Measurement.” Journal of Composite Materials 27 (1993): 1008 - 996.
[26] Nedanov, Pavel B. and Suresh G. Advani. “A Method to Determine 3D Permeability of Fibrous Reinforcements.” Journal of Composite Materials 36 (2002): 241 - 254.
[27] Fratta, Claudio Di et al. “Characterization of anisotropic permeability from flow front angle measurements.” Polymer Composites 37 (2016): 2037-2052.
[28] Lei, G. , Dong, P. C. , Mo, S. Y. , Yang, S. , Wu, Z. S. , & Gai, S. H. . (2015). Calculation of full permeability tensor for fractured anisotropic media. Journal of Petroleum Exploration & Production Technology, 5(2), 167-176.
[29] Liu, Y., Yin, G., Li, M., Zhang, D., Deng, B., Liu, C., & Lu, J. (2019). Anisotropic Mechanical Properties and the Permeability Evolution of Cubic Coal Under True Triaxial Stress Paths. Rock Mechanics and Rock Engineering, 1-17.
[30] Hoeink T , Stoddard T , Ben Y . Directional Equivalent Permeability of Discrete Fracture Networks. 2016.
[31] Sun, L., Liu, Y., Yu, P., He, X., Zhao, X., Feng, Y., & Liu, J. (2016). Experiment and Numerical Calculation Study on the Influence of Fracture Deformation to Tight Oil Production.
[32] Pan, Zhejun et al. “Measuring anisotropic permeability using a cubic shale sample in a triaxial cell.” Journal of Natural Gas Science and Engineering 26 (2015): 336-344.
[33] Yan, Zhiming et al. “Anisotropic coal permeability and its stress sensitivity.” International Journal of Mining Science and Technology (2019): n. pag.
[34] Williams, Christopher K. I. and Carl Edward Rasmussen. Gaussian Processes for Regression. NIPS (1995).
[35] Calandra, Roberto et al. Manifold Gaussian Processes for regression. 2016 International Joint Conference on Neural Networks (IJCNN) (2016): 3338-3345.

Participation Online
Country 中国
MDPI Energies Student Poster Award Yes, I would like to submit this presentation into the student poster award.
Time Block Preference Time Block C (18:00-21:00 CET)
Acceptance of the Terms & Conditions Click here to agree

Primary authors

Dr Xuehao Pei Prof. Yuetian Liu Mr Tengda Rang

Presentation materials