Atzeni, C., Pia, G., Sanna, U., 2008. Fractal Modelling of Medium-High Porosity SiC Ceramics. Journal of the European Ceramic Society, 28(14): 2809-2814. https://doi.org/10.1016/j.jeurceramsoc.2008.03.039 |
Chen, H. Q., Liang, S. X., Shu, Z. R., et al., 2015. Characteristics of Conglomerate Reservoir Architecture of Alluvial Fan and Its Controlling Effects to Reservoir Development: Taking Alluvial Fan Reservoir in Some Area of Northwest Margin of Junggar Basin as an Example. Journal of Jilin University (Earth Science Edition), 45(1): 13-24. https://doi.org/10.13278/j.cnki.jjuese.201501102 (in Chinese with English Abstract) |
Erol, S., Fowler, S. J., Harcouët-Menou, V., et al., 2017. An Analytical Model of Porosity-Permeability for Porous and Fractured Media. Transport in Porous Media, 120(2): 327-358. https://doi.org/10.1007/s11242-017-0923-z |
Gao, S. S., 2012. Research on Seepage Theory and Use of Petroleum Reservoir Engineering of Sang-Conglomerate Reservoir Formation in Mobei Oilfield, Xinjiang: [Dissertation]. China University of Geosciences, Beijing (in Chinese with English Abstract) |
He, C. Z., Hua, M. Q., 1998. Fractal Geometry Description of Reservoir Pore Structure. Oil and Gas Geology, 19(1): 15-23. https://doi.org/10.11743/ogg19980103 (in Chinese with English Abstract) |
Ju, Y., Zheng, J. T., Epstein, M., et al., 2014.3D Numerical Reconstruction of Well-Connected Porous Structure of Rock Using Fractal Algorithms. Computer Methods in Applied Mechanics and Engineering, 279: 212-226. https://doi.org/10.1016/j.cma.2014.06.035 |
Kuang, Y., Sima, L. Q., Qu, J. H., et al., 2017. Influencing Factors and Quantitative Evaluation for Pore Structure of Tight Glutenite Reservoir: A Case of the Triassic Baikouquan Formation in Ma 131 Well Field, Mahu Sag. Lithologic Reservoirs, 29(4): 91-100. https://doi.org/10.3969/j.issn.1673-8926.2017.04.011 (in Chinese with English Abstract) |
Li, C. X., Lin, M., Ji, L. L., et al., 2017. Investigation of Intermingled Fractal Model for Organic-Rich Shale. Energy & Fuels, 31(9): 8896-8909. https://doi.org/10.1021/acs.energyfuels.7b00834 |
Li, C. X., Lin, M., Ji, L. L., et al., 2018. Rapid Evaluation of the Permeability of Organic-Rich Shale Using the 3D Intermingled-Fractal Model. SPE Journal, 23(6): 2175-2187. https://doi.org/10.2118/191358-pa |
Liu, Z. X., Yan, D. T., Niu, X., 2020. Insights into Pore Structure and Fractal Characteristics of the Lower Cambrian Niutitang Formation Shale on the Yangtze Platform, South China. Journal of Earth Science, 31(1): 169-180. https://doi.org/10.1007/s12583-020-1259-0 |
Lou, Y., Zhu, W. Y., Song, H. Q., et al., 2014. Apparent Permeability Model for Fractal Porous Media Considering the Effect of Solid-Liquid Interface. Journal of Northeast Petroleum University, 38(2): 69-73. https://doi.org/10.3969/j.issn.2095-4107.2014.02.010 (in Chinese with English Abstract) |
Lyu, C., Cheng, Q. M., Zuo, R. G., et al., 2017. Mapping Spatial Distribution Characteristics of Lineaments Extracted from Remote Sensing Image Using Fractal and Multifractal Models. Journal of Earth Science, 28(3): 507-515. https://doi.org/10.1007/s12583-016-0914-x |
Meng, Q. B., Liu, H. Q., Wang, J., 2017. A Critical Review on Fundamental Mechanisms of Spontaneous Imbibition and the Impact of Boundary Condition, Fluid Viscosity and Wettability. Advances in Geo-Energy Research, 1(1): 1-17. https://doi.org/10.26804/ager.2017.01.01 |
Pia, G., 2016. High Porous Yttria-Stabilized Zirconia with Aligned Pore Channels: Morphology Directionality Influence on Heat Transfer. Ceramics International, 42(10): 11674-11681. https://doi.org/10.1016/j.ceramint.2016.04.078 |
Pia, G., Casnedi, L., 2017. Heat Transfer in High Porous Alumina: Experimental Data Interpretation by Different Modelling Approaches. Ceramics International, 43(12): 9184-9190. https://doi.org/10.1016/j.ceramint.2017.04.071 |
Pia, G., Casnedi, L., Ionta, M., et al., 2015. On the Elastic Deformation Properties of Porous Ceramic Materials Obtained by Pore-Forming Agent Method. Ceramics International, 41(9): 11097-11105. https://doi.org/10.1016/j.ceramint.2015.05.057 |
Pia, G., Casnedi, L., Sanna, U., 2016a. Porosity and Pore Size Distribution Influence on Thermal Conductivity of Yttria-Stabilized Zirconia: Experimental Findings and Model Predictions. Ceramics International, 42(5): 5802-5809. https://doi.org/10.1016/j.ceramint.2015.12.122 |
Pia, G., Siligardi, C., Casnedi, L., et al., 2016b. Pore Size Distribution and Porosity Influence on Sorptivity of Ceramic Tiles: From Experimental Data to Fractal Modelling. Ceramics International, 42(8): 9583-9590. https://doi.org/10.1016/j.ceramint.2016.03.041 |
Pia, G., Sanna, U., 2014a. An Intermingled Fractal Units Model and Method to Predict Permeability in Porous Rock. International Journal of Engineering Science, 75: 31-39. https://doi.org/10.1016/j.ijengsci.2013.11.002 |
Pia, G., Sanna, U., 2014b. An Intermingled Fractal Units Model to Evaluate Pore Size Distribution Influence on Thermal Conductivity Values in Porous Materials. Applied Thermal Engineering, 65(1/2): 330-336. https://doi.org/10.1016/j.applthermaleng.2014.01.037 |
Pia, G., Sanna, U., 2013. A Geometrical Fractal Model for the Porosity and Thermal Conductivity of Insulating Concrete. Construction and Building Materials, 44: 551-556. https://doi.org/10.1016/j.conbuildmat.2013.03.049 |
Qian, G. B., Xu, C. F., Chen, Y. K., et al., 2016. Microscopic Mechanism of Polymer Flooding in Glutenite Reservoir of Lower Karamay Formation in East District-7(1), Karamay Oilfield. Xinjiang Petroleum Geology, 37(1): 56-61. https://doi.org/10.7657/xjpg20160111 (in Chinese with English Abstract) |
Sergeyev, Y. D., 2009. Evaluating the Exact Infinitesimal Values of Area of Sierpinski's Carpet and Volume of Menger's Sponge. Chaos, Solitons & Fractals, 42(5): 3042-3046. https://doi.org/10.1016/j.chaos.2009.04.013 |
Shan, X., Zou, Z. W., Meng, X. C., et al., 2016. Provenance Analysis of Triassic Baikouquan Formation in the Area around Mahu Depression, Junggar Basin. Acta Sedimentologica Sinica, 34(5): 930-939. https://doi.org/10.14027/j.cnki.cjxb.2016.05.012 (in Chinese with English Abstract) |
Shi, Y., Yang, Z. M., Yang, W. Y., 2011. Study of Non-Linear Relative Permeability in Low Permeability Reservoir. Journal of Southwest Petroleum University (Science & Technology Edition), 33(1): 78-82. https://doi.org/10.1631/jzus.a1000105 (in Chinese with English Abstract) |
Tian, X. F., Cheng, L. S., Li, X. L., et al., 2014. A New Method to Calculate Relative Permeability Considering the Effect of Pore-Throat Distribution. Journal of Shaanxi University of Science and Technology (Natural Science Edition), 32(6): 100-104. https://doi.org/10.3969/j.issn.1000-5811.2014.06.022 (in Chinese with English Abstract) |
Vita, M. C., De Bartolo, S., Fallico, C., et al., 2012. Usage of Infinitesimals in the Menger's Sponge Model of Porosity. Applied Mathematics and Computation, 218(16): 8187-8195. https://doi.org/10.1016/j.amc.2011.06.013 |
Wan, L., Dai, L. M., Tang, G. M., et al., 2020. Multi-Scale Characterization and Evaluation of Pore-Throat Combination Characteristics of Lacustrine Mixed Rock Reservoir. Earth Science, 45(10): 3841-3852. https://doi.org/10.3799/dqkx.2020.144 (in Chinese with English Abstract) |
Wu, Z. X., Yang, Z. C., Ding, C., et al., 2011. Characteristics of Fan Delta in Triassic Karamay Formation, Northwest Margin of Junggar Basin: Taking W16 Well Area as an Example. Natural Gas Geoscience, 22(4): 602-609 (in Chinese with English Abstract) |
Xu, Y. H., Yang, X. H., Mei, L. F., 2020. Reservoir Characteristics and Main Control Factors of Conglomerate Reservoir of El3 in the Northwest Steep Slope Zone of Weixinan Depression. Earth Science, 45(5): 1706-1721. https://doi.org/10.3799/dqkx.2019.174 (in Chinese with English Abstract) |
Xu, Z. H., Hu, S. Y., Wang, L., et al., 2019. Seismic Sedimentologic Study of Facies and Reservoir in Middle Triassic Karamay Formation of the Mahu Sag, Junggar Basin, China. Marine and Petroleum Geology, 107: 222-236. https://doi.org/10.1016/j.marpetgeo.2019.05.012 |
Yang, Y. Q., Qiu, L. W., Cao, Y. C., et al., 2017. Reservoir Quality and Diagenesis of the Permian Lucaogou Formation Tight Carbonates in Jimsar Sag, Junggar Basin, West China. Journal of Earth Science, 28(6): 1032-1046. https://doi.org/10.1007/s12583-016-0931-6 |
Yu, B. M., Li, J. H., 2004. A Geometry Model for Tortuosity of Flow Path in Porous Media. Chinese Physics Letters, 21(8): 1569-1571. https://doi.org/10.1088/0256-307x/21/8/044 |
Yun, M. J., Yu, B. M., Xu, P., et al., 2008. Geometrical Models for Tortuosity of Streamlines in Three-Dimensional Porous Media. The Canadian Journal of Chemical Engineering, 84(3): 301-309. https://doi.org/10.1002/cjce.5450840305 |
Zhang, J. Z., 2011. Fractal: 2nd Edition. Tsinghua University Press, Beijing. 262-263 (in Chinese) |
Zhou, Y., Wu, S. T., Li, Z. P., et al., 2018. Multifractal Study of Three-Dimensional Pore Structure of Sand-Conglomerate Reservoir Based on CT Images. Energy and Fuels, 32(4): 4797-4807. https://doi.org/10.1021/acs.energyfuels.8b00057 |