Three-dimensional geological modeling and spatial analysis from geotechnical borehole data using an implicit surface and marching tetrahedra algorithm

Guo, Jiateng; Wang, Xulei; Wang, Jiangmei; Dai, Xinwei; Wu, Lei; Li, Chaoling; Li, Fengdan; Liu, Shanjun; Jessell, Mark

doi:10.1016/j.enggeo.2021.106047

Cited by 53 publications

(30 citation statements)

References 26 publications

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“…There are several research in different domains that utilized 3D spatial data models. For instance, studies that used 3D spatial data model in geology / geosciences areas were conducted by (Graciano et al, 2018;Hao et al, 2019;Pan et al, 2020;Guo et al, 2021 ). Other studies that utilized 3D spatial data models include the development of a spatial information model (SIM-3RE) for 3D real estate that was done by (Wu et al,2021) while a virtual globe-based integration and visualization framework for above-ground and subsurface 3D spatial objects was carried out by Chen et al in 2018 among others.…”

Section: Use Cases In the Real Worldmentioning

confidence: 99%

A Review of 3d Spatial Data Models for Surface and Subsurface Integration of Spatial Objects

Apeh

Rahman

2023

Int. Arch. Photogramm. Remote Sens. Spatial Inf. Sci.

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Abstract. Three dimensional (3D) spatial data models have been known as a geographic information system platform for representing the dimensionality of spatial objects with respect to the real world. They can be used to mimmick the real-world objects above the ground, on the ground and underground. A 3D spatial data model that can integrate surface and subsurface elements will have a significant impact on engineering, spatial and urban planning, and the built environment. Such an impact includes good infrastructure development, proper planning, result-oriented installation of utilities, location-specific excavation of existing utilities, and cost-effective economy resulting from minimal damage of infrastructures. This article explores and documents the state-of-the-art with respect to 3D spatial data models specifically for the integration of surface and subsurface objects based on a thorough review of the literature in academic articles, technical reports, and web-based materials. To better understand the scope, this paper reviews the different 3D spatial modelling approach for surface spatial objects, subsurface spatial objects, and with keen focus on surface and subsurface spatial objects integration. The Open Geospatial Consortium (OGC) has played an important role in data integration and has a core space in 3D spatial data model evolution. One of the recent data models for such task is CityJSON due to its simplicity in data storage, visualization, manipulation, and data update compared to CityGML. The parameters influencing the choice of models can be attributed to the availability of data structure, applicability, exchange format and relevance. Based on the range of 3D spatial data model reviewed, a unified model is expedient for integration of surface and subsurface spatial objects.

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Section: Use Cases In the Real Worldmentioning

confidence: 99%

A Review of 3d Spatial Data Models for Surface and Subsurface Integration of Spatial Objects

Apeh

Rahman

2023

Int. Arch. Photogramm. Remote Sens. Spatial Inf. Sci.

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“…Zhong et al (2019); Zhong et al (2021) introduced combination constraints for modeling ore bodies based on multiple implicit fields interpolation through RBF methods, in which a multiply labeled implicit function was defined that combines different implicit sub-fields by the combination operations to construct constraints honoring geological relationships more flexibly. Guo et al (2016); Guo et al (2018); Guo et al (2020); Guo et al (2021) proposed an explicitimplicit-integrated 3D geological modelling approach for the geometric fusion of different types of complex geological structure models; therein, the HRBF-based implicit method was used to model general strata, faults, and folds, and the skinning method and the free-form surface were used to model local detailed structures. Wang et al (2018) proposed an implicit modeling approach to automatically build a 3D model for orebodies by means of spatial HRBF interpolation directly based on geological borehole data.…”

Section: Related Workmentioning

confidence: 99%

AdaHRBF v1.0: Gradient-Adaptive Hermite-Birkhoff Radial Basis Function Interpolants for Three-dimensional Stratigraphic Implicit Modeling

Zhang

Khan

et al. 2023

Preprint

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Abstract. Three-dimensional (3D) stratigraphic modelling is capable of modeling the shape, topology, and other properties of strata in a digitalized manner. The implicit modeling approach is becoming the mainstream approach for 3D stratigraphic modelling, which incorporates both the off-contact attitudes and the on-contact occurrence information of stratigraphic interface to estimate the stratigraphic potential field (SPF) to represent the 3D architectures of strata. However, the magnitudes of SPF gradient controlling variation trend of SPF values cannot be directly derived from the known stratigraphic attribute or attitude data. In this paper, we propose an Hermite-Birkhoff radial basis function (HRBF) formulation, AdaHRBF, with an adaptive gradient magnitude for continuous 3D SPF modeling of multiple stratigraphic interfaces. In the linear system of HRBF interpolant constrained by the scattered on-contact attribute points and off-contact attitude points of a set of strata in 3D space, we add a novel optimizing term to iteratively obtain the true gradient magnitude. The case study shows that the HRBF interpolants can consistently establish accurate multiple stratigraphic interfaces and fully express the internal stratigraphic attribute and attitude. To ensure harmony of the variation of stratigraphic thickness, we adopt the relative burial depth of stratigraphic interface to the Quaternary as the SPF attribute value and propose a new stratigraphical thickness index (STI) to represent the variation trend of stratigraphic thickness in SPF. In addition, the proposed stratigraphic potential field modeling by HRBF interpolants can provide a suitable basic model for subsequent geosciences numerical simulation.

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“…RBF interpolation has been widely applied in numerical simulation, scientific computing, geological modeling, and so on. It has the advantages of simple form, lower data requirements [22], more approximate to theoretical expression, no effect of dimension, low calculation, and isotropy, and so on [23]. It has been an important method in the field of surface fitting and reconstruction.…”

Section: Occupied Relationship Between Strata Markersmentioning

confidence: 99%

Study on the Method of Automatically Drawing Multiscale Engineering Geotechnical (Geological) Sections Step by Step of Engineering Layers including Lenses

Zhao

Zhou

et al. 2022

Advances in Civil Engineering

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Drawing the engineering sections automatically and efficiently is significant for the investigation results of geotechnical engineering to provide the scientific and detailed geological basis for urban planning and construction, but it is still difficult to draw the engineering geological sections automatically without manual edit. A method, taking the engineering strata in Quaternary loose sedimentary as the research object, was proposed to automatically draw multiscale engineering geological sections of engineering layers including lenses and strata pinch-out based on the investigation results and borehole data of geotechnical (geological) engineering. Firstly, the spatial information of the top and bottom boundaries of any borehole layer were extracted, and then based on the stratigraphical column, the borehole layer was studied by a step-by-step coarsen from the finest stratigraphical column to the coarsest stratigraphical column, and the occupation relationship among layers was distinguished; secondly, from the coarsest stratigraphical column to the finest level stratigraphical column step-by-step and taking the radial basis function (RBF) interpolation as an example, top and bottom boundaries were interpolated, respectively, by following the order of current stratigraphical column; next, topological relationship among engineering layers was processed according to contact relationship of strata, and strata boundaries with 0 thickness were deleted; and finally, auxiliary information such as scaler and legend were added in section to complete the drawing of multiscale sections. Studies of one site case and one region case demonstrate that the method can perfectly and automatically draw the engineering geological section of engineering layers including lenses and strata pinch-out.

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Three-dimensional geological modeling and spatial analysis from geotechnical borehole data using an implicit surface and marching tetrahedra algorithm

Cited by 53 publications

References 26 publications

A Review of 3d Spatial Data Models for Surface and Subsurface Integration of Spatial Objects

A Review of 3d Spatial Data Models for Surface and Subsurface Integration of Spatial Objects

AdaHRBF v1.0: Gradient-Adaptive Hermite-Birkhoff Radial Basis Function Interpolants for Three-dimensional Stratigraphic Implicit Modeling

Study on the Method of Automatically Drawing Multiscale Engineering Geotechnical (Geological) Sections Step by Step of Engineering Layers including Lenses

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