Generalized triangular prism interpolation method for geotechnical parameter characterization
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ORIGINAL PAPER
Generalized triangular prism interpolation method for geotechnical parameter characterization Huan Liu 1,2 & Suozhong Chen 1,2 & Liang He 1,2 & Manqing Hou 1,2 & Junru Zhang 1,2 Received: 3 July 2019 / Accepted: 7 March 2020 # Springer-Verlag GmbH Germany, part of Springer Nature 2020
Abstract Three-dimensional (3D) geological modeling includes structure modeling and property modeling. Presently, numerous studies on 3D geological structure modeling theory and methodology exist; however, emphasis on 3D geological property modeling is lacking. Generalized triangular prism (GTP) models are a kind of spatial data model designed for building 3D geological structure models. In this study, we describe the characteristics of GTP models and its resolution form, summarize the relationship between interpolation times and control nodes, and define GTP volume coordinates. Coordinates are combined with the B-net method to design a B-spline interpolation method for GTP elements to express the spatial heterogeneity of geological properties. An example is given in which standard penetration test (SPT) N63.5 values for an area are modeled. Correlation distance is described and calculated for multiple stratigraphic layers. Based on the 3D geological structure model, the heterogeneity of the N63.5 value in each geological unit is simulated. The calculation method accounts for geotechnical parameters inherent to autocorrelation, adjusts the property values according to correlation distance, and solves problems caused by a spatial change in geotechnical parameters. Results of this study provide a new method for 3D geological property modeling, which can be also used to express other geological parameters. Keywords 3D geological modeling . Property modeling . Generalized triangular prism . Correlation distance . Volume coordinates
Introduction Three-dimensional geological models are frequently used to represent the geological conditions of the subsurface. Such ground models are essential aspect of the analysis of geological conditions before the engineering construction works are
* Huan Liu [email protected] * Suozhong Chen [email protected] Liang He [email protected] Junru Zhang [email protected] 1
Key Laboratory of Virtual Geographical Environment, (Nanjing Normal University), Ministry of Education, Nanjing 210023, China
2
Jiangsu Center for Collaborative Innovation in Geographical Information Resource Development and Application, Nanjing 210023, China
commenced. As clearly demonstrated by Turner (2006), Smirnoff et al. (2008), Wellmann et al. (2010), Houlding (1994), Lazaro et al. (2014), and Vollgger et al. (2015), the topic has received extensive attention in the fields of geotechnical engineering and geosciences. The development and the application of three-dimensional geo-information system (3DGIS) technology have promoted the development of 3D geological modeling (Nigro et al. 2003; Scheck-Wenderoth and Lamarche 2005; Kaufmann and Martin 2008; Kessler et al. 2009; Watson et al. 2015). Ground modeling
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