矿区复杂地质构造隐式三维集成建模

doi:10.12068/j.issn.1005-3026.2024.09.013

摘要/Abstract

摘要：

隐式建模方法具有建模过程自动化的优势，并成功应用于浅表地质构造自动建模.然而，对于含侵入岩、断层、采空区等多种深部复杂地质构造的矿山区域，自动集成建模方法仍存在困难.本文基于HRBF(Hermite radial basis function)隐式建模方法，针对矿区煤层、侵入岩、采空区、断层等构造分别提出了隐式建模特征向量提取方法，并设计了构造模型与地层模型的隐式集成方法，实现了煤矿区域复杂地质构造的拓扑一致集成建模.济南市地铁8号线区域的实际案例研究表明，该方法能够实现侵入岩、采空区以及断层的隐式建模，为城市轨道交通工程建设提供了辅助决策与安全保障.

关键词: 三维地质建模, 采空区建模, 断层建模, 隐式建模, 径向基隐函数

Abstract:

The implicit modeling method offers the advantage of automating the modeling process and has been successfully applied to automatic modeling of shallow geological formations. However， the automatic integrated modeling remains challenging for mine areas with multiple deep and complex geological formations such as intrusive rocks， faults and goaf. Based on the HRBF implicit modeling method， this paper proposes the implicit modeling feature vector extraction method for the coal seam， intrusive rocks， goaf， faults and other structures in the mining area， and designs the implicit integration method between the structural model and the strata model， enabling the topology?consistent integrated modeling of complex geological formations in the coal mine area. A case study of Jinan Subway Line 8 shows that this method can realize the implicit modeling of intrusive rocks， gobs and faults， which provides auxiliary support for decision?making and ensures safety in the construction of urban rail transit projects.

Key words: 3D geological modeling, goaf modeling, fault modeling, implicit modeling, radial basis implicit function

中图分类号:

TU 195

刘志斌, 张健桥, 杜晓峰, 郭甲腾. 矿区复杂地质构造隐式三维集成建模[J]. 东北大学学报（自然科学版）, 2024, 45(9): 1317-1325.

Zhi-bin LIU, Jian-qiao ZHANG, Xiao-feng DU, Jia-teng GUO. Implicit 3D Integrated Modeling of Complex Geological Structures in Mining Areas[J]. Journal of Northeastern University(Natural Science), 2024, 45(9): 1317-1325.

图/表 13

图1 侵入岩在钻孔中的表现及编号原理图

Fig.1 Performance of intrusive rocks in drill holes and numbered schematic diagrams

图2 采空区数据

Fig.2 Goaf data

图3 提取采空区上界面、下界面的特征点

Fig.3 Extraction of feature points at the upper interface and lower interface of the goaf

图4 基于HRBF的断层面结果

Fig.4 Fault surface results based on HRBF

图5 断层错动隐式点计算原理

Fig.5 Principle of calculating fault misalignment implicit points

图6 复杂区域自动隐式建模流程

Fig.6 Automatic implicit modeling process for complex regions

图7 研究区域内煤矿分布图

Fig.7 Coal mine distribution map in the study area

图8 建模数据

Fig.8 Modeling data

图9 模型结果及沿钻孔剖面

Fig.9 Model result and profile along the borehole

图10 侵入岩、采空区、断层模型结果（a）—侵入岩模型；（b）—采空区模型；（c）—断层模型.

Fig.10 Results of intrusive rock，goaf and fault model

图11 地铁线路剖面（a）—原始剖面；（b）—煤层及采空区相对位置展示.

Fig.11 Subway line profile

图12 断层钻孔相交时建模结果

Fig.12 Modeling results when fault boreholes intersect

图13 基于钻孔的模型质量评价原理

Fig.13 Principles of borehole-based model quality evaluation

参考文献 23

1	Houlding S.3D geoscience modeling：computer techniques for geological characterization［M］.Berlin：Springer‑Verlag，1994.
2	Jessell M， Guo J T， Li Y Q，et al.Into the Noddyverse：a massive data store of 3D geological models for machine learning and inversion applications［J］.Earth System Science Data，2022，14（1）：381-392.
3	Wu L X.Topological relations embodied in a generalized tri‑prism （GTP） model for a 3D geoscience modeling system［J］.Computers & Geosciences，2004，30（4）：405-418.
4	Che D F， Wu L X， Yin Z R.3D spatial modeling for urban surface and subsurface seamless integration［C］//2009 IEEE International Geoscience and Remote Sensing Symposium.Cape Town，2009：Ⅲ-392-Ⅲ-395.
5	Saye R.Implicit mesh discontinuous Galerkin methods and interfacial gauge methods for high‑order accurate interface dynamics，with applications to surface tension dynamics，rigid body fluid‑structure interaction，and free surface flow：part Ⅱ［J］.Journal of Computational Physics，2017，344：683-723.
6	Mallet J L.GOCAD：a computer aided design program for geological applications［M］//Turner A K.Three‑Dimensional Modeling with Geoscientific Information Systems.Dordrecht：Springer，1992：123-141.
7	郑杨，简季.复杂地层结构三维地质建模空间插值方法研究［J］.城市地质，2024，19（1）：121-128.
	Zheng Yang， Jian Ji.Spatial interpolation methods for 3D geological modeling of complex strata structures［J］.Urban Geology，2024，19（1）：121-128.
8	Zhong D Y， Wang L G， Bi L，et al.Implicit modeling of complex orebody with constraints of geological rules［J］.Transactions of Nonferrous Metals Society of China，2019，29（11）：2392-2399.
9	郭甲腾，吴立新，周文辉.基于径向基函数曲面的矿体隐式自动三维建模方法［J］.煤炭学报，2016，41（8）：2130-2135.
	Guo Jia‑teng， Wu Li‑xin， Zhou Wen‑hui.Automatic ore body implicit 3D modeling based on radial basis function surface［J］.Journal of China Coal Society，2016，41（8）：2130-2135.
10	Guo J T， Wu L X， Zhou W H，et al.Section‑constrained local geological interface dynamic updating method based on the HRBF surface［J］.Journal of Structural Geology，2018，107：64-72.
11	Martin R， Boisvert J B.Iterative refinement of implicit boundary models for improved geological feature reproduction［J］.Computers & Geosciences，2017，109：1-15.
12	杜子纯，刘镇，明伟华，等.城市级三维地质建模的统一地层序列方法［J］.岩土力学，2019，40（sup1）：259-266.
	Du Zi‑chun， Liu Zhen， Ming Wei‑hua，et al.Unified stratigraphic sequence method for three‑dimensional urban geological modeling［J］.Rock and Soil Mechanics，2019，40（sup1）：259-266.
13	花卫华，郭丹阳，刘修国，等.含复杂倒转的地层层序统一修正与连接方法［J］.地球科学，2023，48（4）：1532-1542.
	Hua Wei‑hua， Guo Dan‑yang， Liu Xiu‑guo，et al.Unified correction and connection method of stratigraphic sequence with complex inversion［J］.Earth Science，2023，48（4）：1532-1542.
14	Tacher L， Pomian‑Srzednicki I， Parriaux A.Geological uncertainties associated with 3-D subsurface models［J］.Computers & Geosciences，2006，32（2）：212-221.
15	Murray A B， Gasparini N M， Goldstein E B，et al.Uncertainty quantification in modeling earth surface processes：more applicable for some types of models than for others［J］.Computers & Geosciences，2016，90：6-16.
16	Turner A K.Challenges and trends for geological modelling and visualisation［J］.Bulletin of Engineering Geology and the Environment，2006，65（2）：109-127.
17	徐涛，徐果明，高尔根，等.三维复杂介质的块状建模和试射射线追踪［J］.地球物理学报，2004，47（6）：1118-1126.
	Xu Tao， Xu Guo‑ming， Gao Er‑gen，et al.Block modeling and shooting ray tracing in complex 3-d media［J］.Chinese Journal of Geophysics，2004，47（6）：1118-1126.
18	李林，朱立峰，李政国，等.复杂断裂构造条件下城市地质三维建模方法研究［J］.西北地质，2022，55（4）：133-139.
	Li Lin， Zhu Li‑feng， Li Zheng‑guo，et al.Technology research on the constructing of urban geological 3D model in condition of complex faults［J］.Northwestern Geology，2022，55（4）：133-139.
19	花卫华，曾新灵，郭丹阳，等.基于构造恢复理论的含复杂断层三维地质建模方法［J］.地球科学，2024，49（4）：1411-1420.
	Hua Wei‑hua， Zeng Xin‑ling， Guo Dan‑yang，et al.3D geological modeling method based on tectonic restoration theory［J］.Earth Science，2024，49（4）：1411-1420.
20	Guo J T， Wang X L， Wang J M，et al.Three‑dimensional geological modeling and spatial analysis from geotechnical borehole data using an implicit surface and marching tetrahedra algorithm［J］.Engineering Geology，2021，284：106047.
21	Guo J T， Wu L X， Zhou W H，et al.Towards automatic and topologically consistent 3D regional geological modeling from boundaries and attitudes［J］.ISPRS International Journal of Geo-information，2016，5（2）：17.
22	Bagley B， Sastry S P， Whitaker R T.A marching‑tetrahedra algorithm for feature‑preserving meshing of piecewise‑smooth implicit surfaces［J］.Procedia Engineering，2016，163：162-174.
23	张耀国.济南城市轨道交通建设区三维工程地质建模与适宜性分区研究［D］.北京：中国地质大学（北京），2011.
	Zhang Yao‑guo.Study on 3D geological engineering model and reginalization based on suitability in urban mass transit construction region，Jinan City［D］.Beijing：China University of Geosciences，2011.

[1]	郭甲腾，刘寅贺，韩英夫，王徐磊. 基于机器学习的钻孔数据隐式三维地质建模方法[J]. 东北大学学报:自然科学版, 2019, 40(9): 1337-1342.
[2]	曹凯，潘懋，孙鹏. 一种三维结构建模中的地层厚度控制算法[J]. 东北大学学报:自然科学版, 2017, 38(5): 730-735.
[3]	郭甲腾，吴立新，杨宜舟，周文辉. 岩土工程勘察场地立体空间建模与可视化信息管理[J]. 东北大学学报:自然科学版, 2014, 35(1): 122-125.
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