|
|
Bayesian inversion based on BISQ model for reservoir physical properties |
QU Zhipeng1, WEN Jin2, HAN Hongwei1, BU Fan2, WANG Xingmou1, ZHU Jianbing1 |
1. Shengli Geophysical Research Institute of SINOPEC, Dongying, Shandong 257022, China; 2. Department of Mathematical Sciences, Tsinghua University, Beijing 100084, China |
|
|
Abstract For problems with multiple solutions such as the physical property inversion, common methods are usually difficult to obtain optimal solutions with high efficiency and accuracy. Therefore, according to the Bayesian statistics, we use the Gaussian prior model to introduce the constraints from well-log data and develop a Bayesian inversion method for reservoir physical properties to overcome the multi-solution problem. Next, a petrophysical forward model is developed based on the BISQ and effective fluid theories, which can reflect the multiple physical effects of solids and fluid in the porous medium and finely characterize the propagation process of seismic waves in the reservoir, thus enhancing the reliability of inversion results. In addition, because deterministic optimization algorithms usually have only local convergence capability and fail to converge to the global optimal solution of the inversion problem, hybrid genetic algorithms with global convergence capability are introduced to improve the accuracy and efficiency of the inversion method. Finally, the proposed inversion method is used to predict the porosity and water saturation in oil field A in eastern China, and positive results are obtained.
|
Received: 18 July 2022
|
|
|
|
|
[1] |
DOYEN P M. Seismic Reservoir Characterization:An Earth Modelling Perspective[M]. EAGE Publications, 2007.
|
[2] |
韩宏伟, 程远锋, 张云银, 等. 储层物性的地震预测技术综述[J]. 地球物理学进展, 2021, 36(2):595-610.HAN Hongwei, CHENG Yuanfeng, ZHANG Yunyin, et al. Review of seismic prediction of reservoir geophysical properties[J]. Progress in Geophysiscs, 2021, 36(2):595-610.
|
[3] |
魏国华, 韩宏伟, 刘浩杰, 等. 基于半监督高斯混合模型与梯度提升树的砂岩储层相控孔隙度预测[J]. 石油地球物理勘探, 2023, 58(1):46-55.WEI Guohua, HAN Hongwei, LIU Haojie, et al. Facies-controlled porosity prediction of sandstone reservoirs based on semi-supervised Gaussian mixture model and gradient boosting tree[J]. Oil Geophysical Prospecting, 2023, 58(1):46-55.
|
[4] |
BACHRACH R. Joint estimation of porosity and saturation using stochastic rock-physics modeling[J]. Geophysics, 2006, 71(5):O53-O63.
|
[5] |
田军, 刘永雷, 徐博, 等. 深埋储层孔隙度迭代反演方法[J]. 石油地球物理勘探, 2022, 57(3):666-675.TIAN Jun, LIU Yonglei, XU Bo, et al. A method for porosity prediction of deeply buried reservoirs based on iterative inversion[J]. Oil Geophysical Prospecting, 2022, 57(3):666-675.
|
[6] |
DVORKIN J, NUR A. Dynamic poroelasticity:A unified model with the squirt and the Biot mechanisms[J]. Geophysics, 1993, 58(4):524-533.
|
[7] |
BIOT M A. Theory of propagation of elastic waves in a fluid-saturated porous solid. I. Low-frequency range[J]. Journal of the Acoustical Society of America, 1956, 28(2):168-178.
|
[8] |
MAVKO G, MUKERJI T, DVORKIN J. The Rock Physics Handbook(2nd Edition)[M]. Cambridge University Press, 2009.
|
[9] |
YANG D, ZHANG Z. Effects of the Biot and the squirt-flow coupling interaction on anisotropic elastic waves[J]. Chinese Science Bulletin, 2000, 45(23):2130-2138.
|
[10] |
YANG D, ZHANG Z. Poroelastic wave equation including the Biot/squirt mechanism and the solid/fluid coupling anisotropy[J]. Wave Motion, 2002, 35(3):223-245.
|
[11] |
NIE J, YANG D, YANG H. Wave dispersion and attenuation in partially saturated sandstones[J]. Chinese Physics Letters, 2004, 21(3):572-575.
|
[12] |
YANG L, YANG D, NIE J. Wave dispersion and attenuation in viscoelastic isotropic media containing multiphase flow and its application[J]. Science China Physics, Mechanics & Astronomy, 2014, 57(6):1068-1077.
|
[13] |
ZHANG B, YANG D, CHENG Y, et al. A unified poroviscoelastic model with mesoscopic and microscopic heterogeneities[J]. Science Bulletin, 2019, 64(17):1246-1254.
|
[14] |
YANG J, YANG D, HAN H, et al. A wave propagation model with the Biot and the fractional viscoelastic mechanisms[J]. Science China Earth Sciences, 2021, 64(3):364-376.
|
[15] |
孙卫涛, 熊繁升, 曹宏, 等. 非牛顿流体孔隙介质弹性波动方程[J]. 石油地球物理勘探, 2021, 56(3):519-527.SUN Weitao, XIONG Fansheng, CAO Hong, et al. Elastic wave equation for porous media saturated with non-Newtonian fluid[J]. Oil Geophysical Prospecting, 2021, 56(3):519-527.
|
[16] |
FANG Z, YANG D. Inversion of reservoir porosity, saturation, and permeability based on a robust hybrid genetic algorithm[J]. Geophysics, 2015, 80(5):R265-R280.
|
[17] |
NIE J, YANG D, YANG H. Inversion of reservoir parameters based on the BISQ model in partially saturated porous medium[J]. Chinese Journal of Geophysics, 2004, 47(6):1241-1246.
|
[18] |
BOSCH M, MUKERJI T, GONZALEZ E F. Seismic inversion for reservoir properties combining statistical rock physics and geostatistics:A review[J]. Geophysics, 2010, 75(5):75A165-75A176.
|
[19] |
WEN J, CHENG Y, YANG D, et al. Joint two-step inversion of porosity and saturation based on the BISQ model with mutli-phase fluids[J]. Geophysics, 2022, 87(4):M99-M110.
|
[20] |
EIBEN A E, AARTS E, VAN HEE K M. Global convergence of genetic algorithms:a Markov chain analysis[C]. International Conference on Parallel Problem Solving from Nature, 1990, 3-12.
|
[21] |
周琦, 印兴耀, 李坤. 煤系地层地震岩石物理建模及横波预测方法[J]. 石油地球物理勘探, 2022, 57(2):357-366.ZHOU Qi, YIN Xingyao, LI Kun. Seismic rock physics modeling and shear wave velocity prediction method of coal measure strata[J]. Oil Geophysical Prospecting, 2022, 57(2):357-366.
|
[22] |
顾雯, 印兴耀, 巫芙蓉, 等. 波形驱动下多参数约束高分辨率反演方法——以四川盆地渝西地区龙马溪组页岩气为例[J]. 石油地球物理勘探, 2021, 56(6):1311-1321.GU Wen, YIN Xingyao, WU Furong, et al. Multi-parameter constrained high-resolution inversion method driven by waveform:A case study of Longmaxi Formation shale gas in western Chongqing, Sichuan Basin[J]. Oil Geophysical Prospecting, 2021, 56(6):1311-1321.
|
[23] |
DVORKIN J, NOLEN-HOEKSEMA R, NUR A. The squirt-flow mechanism:Macroscopic description[J]. Geophysics, 1994, 59(3):428-438.
|
[24] |
RUSSELL B, HAMPSON D P, BANKHEAD B. An inversion primer[J]. CSEG Recorder, 2006, 31(Special):96-103.
|
[25] |
张永刚. 复杂介质地震波场模拟分析与应用[M]. 北京:石油工业出版社, 2007.
|
|
|
|