一种基于地层相关结构约束的地质模型修正方法

梁栋; 花卫华; 赵亚博; 刘志鹏; 刘修国

doi:10.3799/dqkx.2021.139

Volume 48 Issue 8

Aug. 2023

Turn off MathJax

Article Contents

Article Navigation > Earth Science > 2023 > 48(8): 3179-3192

Liang Dong, Hua Weihua, Zhao Yabo, Liu Zhipeng, Liu Xiuguo, 2023. Error Correction in Geological Model Based on Stratigraphic Interdependency. Earth Science, 48(8): 3179-3192. doi: 10.3799/dqkx.2021.139

Citation:

Liang Dong, Hua Weihua, Zhao Yabo, Liu Zhipeng, Liu Xiuguo, 2023. Error Correction in Geological Model Based on Stratigraphic Interdependency. Earth Science, 48(8): 3179-3192. doi: 10.3799/dqkx.2021.139

Citation:

PDF( 5883 KB)

Error Correction in Geological Model Based on Stratigraphic Interdependency

doi: 10.3799/dqkx.2021.139

School of Geography and Information Engineering, China University of Geosciences, Wuhan 430074, China

Received Date: 2021-12-26
Publish Date: 2023-08-25

Abstract

Abstract

In geological exploration, the bottom interface of deep stratum is not sampled in most boreholes, and incorrect sample information limits the accuracy of geological models. In order to improve the accuracy of geological model, we proposes a method to correct geological model based on stratigraphic interdependency. Due to the formation mechanism of the strata, the morphology of the adjacent strata is similar. Based on this character, the Copula function is used to model the dependence structure of adjacent strata, and the joint distribution model of adjacent strata and the likelihood function of the stratum to be corrected are constructed. In the Bayesian framework, the established interface model is taken as the prior model, and the likelihood function is used to update the prior model to obtain the posterior distribution. In the end, the condition expectation of the interface is calculated as the posterior model. The proposed approach is illustrated through a case study of the geological interface model of the coastal zone near Beihai. The results show that the error of the geological interface model is reduced after model correction.
- geologic models,
- error correction,
- stratigraphic interdependency,
- Bayes,
- Copula

FullText(HTML)

References(47)

References

Abrahamsen, P., Omre, H., 1994. Random Functions and Geological Subsurfaces. Ecmor Ⅳ-European Conference on the Mathematics of Oil Recovery, Røros, Norway, 21. https://doi.org/10.3997/2214-4609.201411142

Autin, J., Scheck-Wenderoth, M., Götze, H. J., et al., 2016. Deep Structure of the Argentine Margin Inferred from 3D Gravity and Temperature Modelling, Colorado Basin. Tectonophysics, 676(47): 198-210. https://doi.org/10.1016/j.tecto.2015.11.023

Bárdossy, A., 2006. Copula-Based Geostatistical Models for Groundwater Quality Parameters. Water Resources Research, 42(11). https://doi.org/10.1029/2005wr004754

Bárdossy, A., Li, J., 2008. Geostatistical Interpolation Using Copulas. Water Resources Research, 44(7). https://doi.org/10.1029/2007wr006115

Calcagno, P., Chiles, J. P., Courrioux, G., at al., 2008. Geological Modelling from Field Data and Geological Knowledge: Part Ⅰ. Modelling Method Coupling 3D Potential-Field Interpolation and Geological Rules. Physics of the Earth and Planetary Interiors, 171 (1-4): 147-157. https://doi.org/10.1016/j.pepi.2008.06.013

Caumon, G., Journel, A. G., 2004. Early Uncertainty Assessment: Application to A Hydrocarbon Reservoir Appraisal. Geostatistics Banff 2004, Springer, Dordrecht, 551-557. https://doi.org/10.1007/978-1-4020-3610-1_56

Daly, C., 2006. Guidelines for Assessing the Suitability of Spatial Climate Data Sets. International Journal of Climatology, 26(6): 707-721. https://doi.org/10.1002/joc.1322

de Kemp, E. A., Sprague, K. B., 2003. Interpretive Tools for 3-D Structural Geological Modeling Part Ⅰ: Bxezier-Based Curves, Ribbons and Grip Frames. Geoinformatica, 7 (1): 55-71. https://doi.org/10.1023/a:1022822227691

De la Varga, M., Schaaf, A., Wellmann J. F., 2018. GemPy 1.0: Open-Source Stochastic Geological Modeling and Inversion. Geoscientific Model Development Discussions, 1-50. https://doi.org/10.5194/gmd-12-1-2019

De Paor, D. G., 1996. Bxezier Curves and Geological Design. In: De Paor, D. G., ed., Computer Methods in the Geosciences. Pergamon, 389-417. https://doi.org/10.1016/s1874-561x(96)80031-9

Fremming, N. P., 2002. 3D Geological Model Construction Using a 3D Grid. ECMOR Ⅷ-8th European Conference on the Mathematics of Oil Recovery. https://doi.org/10.3997/2214-4609.201405917

Gradmann, S., Ebbing, J., Fullea, J., 2013. Integrated Geophysical Modelling of a Lateral Transition Zone in the Lithospheric Mantle under Norway and Sweden. Geophysical Journal International, 194 (3): 1358-1373. https://doi.org/10.1093/gji/ggt213

Haase, C., Ebbing, J., Funck, T., 2017. A 3D Regional Crustal Model of the NE Atlantic Based on Seismic and Gravity Data. Geological Society, London, Special Publications, 447 (1): 233-247. https://doi.org/10.1144/sp447.8

Hou, Z., Wang, T. Y., Yu, C. C., et al., 2018. Study of 3d Geological Modeling Based on Aeromagnetic Data. Advances in Earth Science, 33(3): 257-269 (in Chinese with English abstract).

Kessler, H., Mathers, S., Sobisch, H. G., 2009. The Capture and Dissemination of Integrated 3D Geospatial Knowledge at the British Geological Survey Using GSI3D Software and Methodology. Computers & Geosciences, 35 (6): 1311-1321. https://doi.org/10.1016/j.cageo.2008.04.005

Lemon, A. M., Jones, N. L., 2003. Building Solid Models from Boreholes and User-Defined Cross-Sections. Computers & Geosciences, 29(5): 547-555. https://doi.org/10.1016/s0098-3004(03)00051-7

Liu, Z. F., Wei, Z. H., Huang, X. J., et al., 2012. Research on Dynamic Update Method of 3d Geological Model: A Case Study of Water Resources and Hydropower Projects. China Rural Water and Hydropower, 11: 93-96 (in Chinese with English abstract).

Lyu, Y. H., Du, Y., Zou, C. Y., 2007. Improved Numerical Simulation Method of Complex Fault Block Oil Reservoir. Fault-Block Oil & Gas Field, 14(6): 21-22, 94 (in Chinese with English abstract).

Ming, J., Pan, M., Qu, H. G., et al., 2010. GSIS: A 3D Geological Multi-Body Modeling System from Netty Cross-Sections with Topology. Computers & Geosciences, 36(6): 756-767. https://doi.org/10.1016/j.cageo.2009.11.003

Nelsen, R. B., 2007. An Introduction to Copulas. Springer, New York.

Perrin, M., Rainaud, J. F., 2013. Shared Earth Modeling: Knowledge Driven Solutions for Building and Managing Subsurface 3D Geological Models, Editions Technip.

Sadegh, M., Ragno, E., Aghakouchak, A., 2017. Multivariate Copula Analysis Toolbox (MvCAT): Describing Dependence and Underlying Uncertainty Using a Bayesian Framework. Water Resources Research, 53. https://doi.org/10.1002/2016WR020242.

Sklar, A, 1959. Fonctions de Repartition An Dimensions et Leurs Marges. Publications de l'Insitut de Statistique de Paris, 229-231

Sprague, K. B., de Kemp, E. A., 2005. Interpretive Tools for 3-D Structural Geological Modelling Part Ⅱ: Surface Design from Sparse Spatial Data. GeoInformatica, 9(1): 5-32. https://doi.org/10.1007/s10707-004-5620-8

Tacher, L., Pomian-Srzednicki, I., Parriaux, A., 2006. Geological Uncertainties Associated with 3-D Subsurface Models. Computers & Geosciences, 32(2): 212-221. https://doi.org/10.1016/j.cageo.2005.06.010

Tan, F., Wang, J., Jiao, Y.Y., et al., 2021. Current Situation and Development of Urban Underground Space Suitability Evaluation. Earth Science, 46(5): 1896-1908 (in Chinese with English abstract).

Tearpock, D. J., Bischke, R. E., 1991. Applied Subsurface Geological Mapping. Prentice Hall.

Tobler, W. R., 1970. A Computer Movie Simulating Urban Growth in the Detroit Region. Economic Geography, 46: 234. https://doi.org/10.2307/143141

Wellmann, J. F., de la Varga, M., Murdie, R. E., et al., 2017. Uncertainty Estimation for a Geological Model of the Sandstone Greenstone Belt, Western Australia: Insights from Integrated Geological and Geophysical Inversion in a Bayesian Inference Framework. Geological Society, London, Special Publications, 453(1): 41-56. https://doi.org/10.1144/sp453.12

Wellmann, J. F., Caumon, G., 2018. 3-D Structural Geological Models: Concepts, Methods, and Uncertainties, Advances in Geophysics, 59: 1-121. https://doi.org/10.1016/bs.agph.2018.09.001

Winter, J. G., 1968. The Prodromus of Nicolaus Steno's Dissertation Concerning A Solid Body Enclosed by Process of Nature within A Solid, Hafner.

Wolff, B, S. F., 1981. On Nonparametric Measures of Dependence for Random Variables. Annals of Statistics, 9(4): 879-885. https://doi.org/10.1214/aos/1176345528

Xie, J. R., Qiao, S. F., Qian, H., et al., 2014. The Application of Virtual Drilling Technology in the Three-Dimensional Geological Modeling of Water Resources and Hydropower. Journal of Railway Science and Engineering, (3): 123-128 (in Chinese with English abstract).

Xiu, C. H., Che, D. F., Jia, G. B., 2015. A 3D Dynamic Modeling Method for Coal Seams with Complex Geological Structures. Mine Surveying, 6: 52-55 (in Chinese with English abstract).

Zhang, X.L., Wu, C.L., Zhou, Q., et al., 2020. Multi-Scale 3D Modeling and Visualization of Super Large Manganese Ore Gathering Area in Guizhou China. Earth Science, 45(2): 634-644 (in Chinese with English abstract).

Zhu, L. F., Wu, X. C., Pan, X., 2006. Mechan6ism and Implementation of Error Correction for 3D Strata Model. Rock and Soil Mechanics, 27(2): 268-271 (in Chinese with English abstract).

Zhu, L. F., Wu, X. C., Pan, X., 2009. Theory of Accuracy Assessment and Methods for Error Correction in 3D Geological Structure Models. Earth Science Frontiers, 16(4): 363-371 (in Chinese with English abstract).

Zhu, L. F., Zhang, C. J., Li, M. J., et al., 2012. Building 3D Solid Models of Sedimentary Stratigraphic Systems from Borehole Data: An Automatic Method and Case Studies. Engineering Geology, 127(8): 1-13. https://doi.org/10.1016/j.enggeo.2011.12.001

侯征, 王天意, 于长春, 等, 2018. 基于航磁数据的三维地质建模研究. 地球科学进展, 33(3): 257-269. https://www.cnki.com.cn/Article/CJFDTOTAL-DXJZ201803007.htm

刘志锋, 魏振华, 黄笑鹃, 等, 2012. 三维地质模型动态更新方法研究——以水利水电工程为例. 中国农村水利水电, 11: 93-96. https://www.cnki.com.cn/Article/CJFDTOTAL-ZNSD201211027.htm

吕迎红, 杜燕, 邹存友, 等, 2007. 复杂断块油藏地质模型修正技术探讨. 断块油气田, 14(6): 21-22, 94. https://www.cnki.com.cn/Article/CJFDTOTAL-DKYT200706006.htm

谭飞, 汪君, 焦玉勇, 等, 2021. 城市地下空间适宜性评价研究国内外现状及趋势. 地球科学, 46(5): 1896-1908. doi: 10.3799/dqkx.2020.155

谢济仁, 乔世范, 钱骅, 等, 2014. 虚拟钻孔技术在水利水电三维地质建模中的应用. 铁道科学与工程学报, 3: 123-128. https://www.cnki.com.cn/Article/CJFDTOTAL-CSTD201403022.htm

修春华, 车德福, 贾国兵, 2015. 含复杂地质构造的三维煤层动态建模方法. 矿山测量, 6: 52-55. https://www.cnki.com.cn/Article/CJFDTOTAL-KSCL201506016.htm

张夏林, 吴冲龙, 周琦, 等, 2020. 贵州超大型锰矿集区的多尺度三维地质建模. 地球科学, 45(2): 634-644. doi: 10.3799/dqkx.2018.384

朱良峰, 吴信才, 潘信, 2006. 三维地层模型误差修正机制及其实现技术. 岩土力学, 27(2): 268-271. https://www.cnki.com.cn/Article/CJFDTOTAL-YTLX200602020.htm

朱良峰, 吴信才, 潘信, 2009. 三维地质结构模型精度评估理论与误差修正方法研究. 地学前缘, 16(4): 363-371. https://www.cnki.com.cn/Article/CJFDTOTAL-DXQY200904042.htm

Relative Articles

Supplements(0)

Cited By

Proportional views

Proportional views

通讯作者: 陈斌, bchen63@163.com

1.
沈阳化工大学材料科学与工程学院沈阳 110142

Figures(11) / Tables(3)

Get Citation

PDF

XML

Article views (689) PDF downloads(54)

Error Correction in Geological Model Based on Stratigraphic Interdependency

doi: 10.3799/dqkx.2021.139

Abstract

References

Proportional views

Catalog

通讯作者: 陈斌, bchen63@163.com

Proportional views

Export File

Citation

Format

Content