基于两种插值算法的三维地质建模对比

doi:10.13278/j.cnki.jjuese.20180250

Abstract

Abstract: In the process of 3D geological modeling, interpolation algorithm has a significant influence on the accuracy of the model. In order to evaluate the influence of different interpolation algorithms on 3D modeling, the inverse distance weight interpolation and the natural neighborhood interpolation methods were selected to make a comparative study. Through theoretical analyses and case studies, these two methods were analyzed and compared in aspects of statistics, interpolation errors,and visualization. The results show that the inverse distance weight interpolation method has higher accuracy and wider adaptation area in modeling. Compared to the natural neighborhood interpolation method, the inverse distance weight interpolation method is, at first, more applicable to the area where some strata lack seriously, and can better retain characteristics of the lacked strata. Next,the method is able to handle fault structures and perform better for the fault fluctuation of strata. Finally, its result has a smaller error in sedimentary strata, and is closer to the actual situation.

Key words: 3D geological modeling, groundwater modeling system, the inverse distance weight interpolation method, natural neighborhood interpolation method

CLC Number:

P628+.3

Feng Bo, Chen Mingtao, Yue Dongdong, Li Shengtao, Jia Xiaofeng, Song Dan. Comparison of 3D Geological Modeling Based on Two Different Interpolation Methods[J].Journal of Jilin University(Earth Science Edition), 2019, 49(4): 1200-1208.

References

[1] Chen Guoxing, Zhu Jiao, Qiang Mengyun, et al. Three-Dimensional Site Characterization with Borehole Data:A Case Study of Suzhou Area[J]. Engineering Geology, 2018, 234:65-82.
[2] He Zhenwen, Wu Chonglong, Cheng Wan, et al. Progressive Simplification of General Meshes in Geological Modeling[C]//The 12th Conference of the International Association for Mathematical Geology. Beijing:IMAG, 2007:738-742.
[3] Hou H, Sun Z, Li M, et al. Three-Dimensional Geological Modeling in Mining Area and Its Geomechanical Applications[C]//22nd International Conference on Geoinformatics. Kaohsiung:Institute of Electrical and Electronics Engineers Inc, 2014:1-5.
[4] Gonçalves Í G, Kumaira S, Guadagnin F. A Machine Learning Approach to the Potential:Field Method for Implicit Modeling of Geological Structures[J]. Computers & Geosciences, 2017, 103:173-182.
[5] Arfaoui M, Inoubli M H. Advantages of Using the Kriging Interpolator to Estimate the Gravity Surface, Comparison and Spatial Variability of Gravity Data in the El Kef-Ouargha Region (Northern Tunisia)[J]. Arabian Journal of Geosciences, 2013, 6(8):3139-3147.
[6] Xiong Z, Ce Y. Study on the 3D Engineering-Geological Modeling and Visualization System[C]//Computer Science and Software Engineering. Wuhan:IEEE Computer Society, 2008:931-934.
[7] Hu J, Sun C. 3D Geological Modeling Based on Boreholes Data and Application in Underground Engineering[C]//Information Science and Engineering. Shanghai:IEEE Computer Society, 2011:409-411.
[8] Zhao Z, Hou E, Zhang Z, et al. Three Dimensional Geological Modeling from Component-Based Topological Data Model[C]//Computer Modeling and Simulation. Macau:IEEE Computer Society, 2009:43-46.
[9] Bilibin S I, Perepechkin M V, Kovalevskiy Ye V. Hydrocarbon Reservoir Modeling for Use in Hydrocarbon Reserves Estimation in DV-Geo[J]. Lithologic Reservoirs, 2010, 22(F07):90-92.
[10] Qu H, Li J, Pan M. Three-Dimensional Urban Geological Modeling and Its Applications[C]//The 18th International Conference on Geoinformatics:GIScience in Change. Beijing:IEEE Computer Society, 2010:1-6.
[11] Liu J B, Dai H Y, Wang X, et al. Three-Dimensional Geological Modeling of Mining Subsidence Prediction Based on the Blocks[J]. Advanced Materials Research, 2014, 905:697-701.
[12] Li C L, Zhang J H, Li H K, et al. Application of New Geological Modeling Technology in Secondary Development in Daqing Oil Field[C]//IOP Conference Series:Earth and Environmental Science. Beijing:Institute of Physics Publishing, 2016:1-7.
[13] Wu Q, Xu H. Three-Dimensional Geological Modeling and Its Application in Digital Mine[J]. Science China Earth Sciences, 2014, 57(3):491-502.
[14] Saffarzadeh S, Javaherian A, Hasani H, et al. Improving Fault Image by Determination of Optimum Seismic Survey Parameters Using Ray-Based Modeling[J]. Journal of Geophysics and Engineering, 2018, 15(3):668-680.
[15] Li X T, Lin Q F, Lin C S. Application of Geological Modeling in Carbonate Reservoirs[J]. Advanced Materials Research, 2012, 446/447/448/449:2033-2040.
[16] 陈鹏,邓飞,刘思廷. 三维空间属性插值方法的研究[J]. 电脑知识与技术,2015,11(7):235-239. Chen Peng, Deng Fei, Liu Siting.Research on 3D Spatial Property Interpolation Method[J]. Computer Knowledge and Technology, 2015,11(7):235-239.
[17] 孔龙星,汤晓安,张俊达,等. 顾及局部特性的自适应3D矢量场反距离权重插值法[J]. 系统工程与电子技术, 2016,38(7):1697-1702. Kong Longxing, Tang Xiaoan, Zhang Junda, et al. Adaptive 3D Vector Field Inverse Distance Weight Interpolation Method Considering Local Characteristics[J]. Systems Engineering and Electronics, 2016, 38(7):1697-1702.
[18] 刘光孟,汪云甲,王允. 反距离权重插值因子对插值误差影响分析[J]. 中国科技论文在线,2010,5(11):879-884. Liu Guangmeng, Wang Yunjia, Wang Yun. Analysis of the Influence of Interpolation Factor of Anti-Distance Weight on Interpolation Error[J]. China Science and Technology Paper Online, 2010, 5(11):879-884.
[19] 郭艳军,潘懋,燕飞,等. 自然邻点插值方法在三维地质建模中的应用[J]. 解放军理工大学学报(自然科学版),2009,10(6):650-655. Guo Yanjun, Pan Mao, Yan Fei, et al.Application of Natural Neighbor Interpolation Method in 3D Geological Modeling[J]. Journal of PLA University of Science and Technology (Natural Science Edition), 2009, 10(6):650-655.
[20] 王三军,胡现辉. 稀少监测点沉降量插值方法选取研究[J]. 北京测绘,2017(3):71-74. Wang Sanjun, Hu Xianhui. Research on Selection of Interpolation Methods for Sparse Monitoring Points Settlement[J]. Beijing Surveying and Mapping, 2017(3):71-74.
[21] Braun J, Sambridge M. A Numerical Method for Solving Partial Differential Equations on Highly Irregular Evolving Grids[J]. Nature, 1995, 376:655-660.
[22] 刚什婷,邓英尔. 基于GMS在地下水资源评价与管理中的应用综述[J]. 地下水,2015,37(2):33-36. Gang Shiting, Deng Ying'er. Review of the Application of GMS in the Evaluation and Management of Groundwater Resources[J]. Groundwater, 2015, 37(2):33-36.
[23] 王福刚,梁秀娟,于军. 可视化地层模型信息系统在地面沉降研究中的应用[J]. 岩土工程学报,2005,27(2):219-223. Wang Fugang, Liang Xiujuan, Yu Jun.Application of Visual Stratigraphic Model Information System in Land Subsidence Research[J]. Chinese Journal of Geotechnical Engineering, 2005, 27(2):219-223.
[24] 谭家华,雷宏武. 基于GMS的三维TOUGH2模型及模拟[J]. 吉林大学学报(地球科学版),2017,47(4):1229-1235. Tan Jiahua, Lei Hongwu. Three-Dimensional TOUGH2 Model and Simulation Based on GMS[J]. Journal of Jilin University (Earth Science Edition), 2017, 47(4):1229-1235.
[25] 李琴,叶水根,高盼. 基于GMS的北京市房山平原区地下水数值模拟研究[J]. 中国农村水利水电,2012(5):1-5. Li Qin, Ye Shuigen, Gao Pan. Numerical Simulation of Groundwater in Fangshan Plain Area of Beijing Based on GMS[J]. China Rural Water and Hydropower, 2012(5):1-5.

Metrics

Viewed

Full text

Abstract

Cited

Shared

Discussed

Comments

Recommended 10

[1]	LI Bin, MENG Zi-fang， LI Xiang-bo, LU Hong-xuan, ZHENG Min. The Structural Features and Depositional Systems of the Early Tertiary in the Biyang Depression[J]. J4, 2005, 35(03): 332 -0339 .
[2]	JIANG Yue-hua,YIN Hong-fu,WANG Run-hua,KANG Xiao-jun. Distribution of Soil Magnetic Susceptibility and Heavy Metal Elementsand Their Correlativity in Huzhou City[J]. J4, 2005, 35(05): 653 -660 .
[3]	QIN Li-juan, CAO Jian-feng,PING Jian-hua,JIANG Ji-yi, WANG Nan, SHEN Yuan-yuan, LI Sheng. Application of Fuzzy Mathematics in Evaluation of Water Resources Value in Zhengzhou City[J]. J4, 2005, 35(04): 487 -0490 .
[4]	LI Xu-qian, SHANG Shu-bo, LIN Ya-ju, ZHOU Hong-yi,HOU Ge. The Measurement of the Hydrochemistry Mobility of the Oil Pollutant in the Aeration Zone[J]. J4, 2005, 35(04): 501 -0504 .
[5]	ZHAO Xing-min, HUA Xiu-yi, ZHANG Jing-jing, DONG De-ming, LI Yu. Selective Extraction of Fe and Mn Oxides from Biofilms Collected in Natural Waters[J]. J4, 2005, 35(04): 505 -0509 .
[6]	XIONG Bin. Inverse Spline Interpolation for the Calculation of All-Time Resistivity for the Large-Loop Transient Electromagnetic Method[J]. J4, 2005, 35(04): 515 -0519 .
[7]	QIN Ru-fu, XU Hui-ping, YE Na,OU Shao-jia，LU Yan. Management System Design of China Lithosphere 3D Structure Database Based on GIS[J]. J4, 2005, 35(04): 529 -0534 .
[8]	ZHANG Zhen-liang,HUANG Zhi-long,RAO Bing,GUAN Tao,YAN Zai-fei. The Sources of OreForming Fluid in the Huize LeadZinc Ore Deposits：Evidences for WaterRock Reaction[J]. J4, 2005, 35(05): 587 -592 .
[9]	JIANG Jian-qun,ZHANG Zhan-wen,LI Jun,SHI Jian-nan. The Study on Hydrocarbon Migration and Accumulation History in Damintun Depression[J]. J4, 2005, 35(03): 326 -0331 .
[10]	ZHANG Yu-ling，ZHANG Lan-ying，WANG Xian-sheng，WANG Xiao-hui,GAO Song. Study on Adsorbing Chromium(Ⅵ) and Cadmium(Ⅱ) Ions Coexisting in Water Body by Aureobacidium Pullulans[J]. J4, 2005, 35(03): 403 -0406 .

Comparison of 3D Geological Modeling Based on Two Different Interpolation Methods

PDF (PC)

Abstract

Cite this article

share this article

References

Related Articles 3

Metrics

Comments

Recommended 10

[1]	Wu Zhichun, Guo Fusheng, Lin Ziyu, Hou Manqing, Luo Jianqun. Technology and Method of Multi-Data Merging in 3D Geological Modeling [J]. Journal of Jilin University(Earth Science Edition), 2016, 46(6): 1895-1913.
[2]	Zou Youqin, Liu Li, Li Hongqing, Yan Chun, Zeng Masun, Lan Yingying. Hydrogeological Conditions Control of Shale Gas Exploration [J]. Journal of Jilin University(Earth Science Edition), 2016, 46(3): 824-830.
[3]	LIU Hai-ying, LIU Xiu-guo, LI Chao-ling. Realization and Application of 3D Reserves Estimation System Based on Geostatistics [J]. J4, 2009, 39(3): 541-546.