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Three dimensional stratum interpolation and visualization based on section and borehole data from jointing the moving least square method and poisson reconstruction method

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Abstract

3D geological modeling data can only be measured rarely or indirectly, as it is necessary to interpolate the sparse and uneven geological data in the study area. Given the problems in the interpolation of data from different sources, we have introduced stratum interpolation and visualization technology based on the moving least squares (MLS) method and Poisson surface reconstruction method. The MLS method can not only obtain a smooth stratum surface by adjusting the relevant parameters of its interpolation, but it can also ensure the similarity of the stratum in space and the difference when far part. At the same time, it combines the Poisson reconstruction method and improves it, so that it can reconstruct the open surface by using a virtual outer frame from the original closed figure reconstruction theory. This paper takes the exploration line profile and geological boreholes in Xiushan County, Chongqing as an example, and visualizes them by fusion and the interpolation of data from different sources. The resulting stratum surface is smooth, continuous, accurate, and highly portable.

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References

  • Bonneau D, DiFrancesco PM, Hutchinson DJ (2019) Surface reconstruction for three-dimensional rockfall volumetric analysis. ISPRS Int J Geo-Inf 8:548

    Article  Google Scholar 

  • De Kemp EA, Sprague KB (2003) Interpretive tools for 3-D structural geological modeling part I: Bezier-based curves, ribbons and grip frames. GeoInformatica 7:55–71

    Article  Google Scholar 

  • Deren L, Yandong W, Qing Z, Jianya G (1999) Data model and visualization of 3D city landscape based on integrated databases. Geo-Spatial Inf Sci 2:21–25

    Article  Google Scholar 

  • Dinis LMJS, Jorge RN, Belinha J (2007) Analysis of 3D solids using the natural neighbour radial point interpolation method. Comput Method Appl M 196(13-16):2009–2028

  • Gonçalves ÍG, Kumaira S, Guadagnin F (2017) A machine learning approach to the potential-field method for implicit modeling of geological structures. Comput Geosci 103:173–182

    Article  Google Scholar 

  • Guo Y-J, Pan M, Wang Z, Wang Y, Wu Z-X, Qu H-G, Ming J (2009) Research on three-dimensional geological modeling method based on drilling data and constraints of intersected folded cross-sections [J]. Geogr Geo-Information Sci 10(6):650–655

  • Kazhdan M, Hoppe H (2013) Screened poisson surface reconstruction. ACM Trans Graph (ToG) 32:1–13

    Article  Google Scholar 

  • Kazhdan M, Bolitho M, Hoppe H (2006) Poisson surface reconstruction. Proceedings of the fourth Eurographics symposium on Geometry processing 7.

  • Kumar JK, Konno M, Yasuda N (2000) Subsurface soil-geology interpolation using fuzzy neural network. J Geotech Geoenviron 126:632–639

    Article  Google Scholar 

  • Li X, Wang C, Zhu H (2009) Kriging interpolation and its application to generating stratum model. Rock Soil Mech China 30:157–162

    Google Scholar 

  • Liu Y, Liu J, Chen C, Wang G, Liao Q, Zhang X (2019) The application of audio magnetotelluric for 3D geological mapping in the Gobi Desert area. Geol J. https://doi.org/10.1002/gj.3627

  • Mallet J-L (1997) Discrete modeling for natural objects. Math Geol 29:199–219

    Article  Google Scholar 

  • Oudjene M, Ben-Ayed L, Delameziere A, Batoz J-L (2009) Shape optimization of clinching tools using the response surface methodology with moving least-square approximation. J Mater Process Technol 209:289–296

    Article  Google Scholar 

  • Rui X-P, Yu Z-W, Xu Y-Z, Xi Y (2000) Application of multiple quadric interpolation in fitting geological surfaces. J-China Univ Min Technol-Chinese Ed 29:377–380

    Google Scholar 

  • Simon WH (1994) 3D geoscience modeling: computer techniques for geological characterization. Springer Verlag 46:85–90

    Google Scholar 

  • Smirnoff A, Boisvert E, Paradis SJ (2008) Support vector machine for 3D modelling from sparse geological information of various origins. Comput Geosci 34:127–143

    Article  Google Scholar 

  • Wang Q, Zhou W, Cheng Y, Ma G, Chang X, Miao Y, Chen E (2018) Regularized moving least-square method and regularized improved interpolating moving least-square method with nonsingular moment matrices. Appl Math Comput 325:120–145

    Google Scholar 

  • Wu Q, Xu H (2014) Three-dimensional geological modeling and its application in digital mine. Sci China Earth Sci 57:491–502

    Article  Google Scholar 

  • Yao X, Fu B, Lü Y, Sun F, Wang S, Liu M (2013) Comparison of four spatial interpolation methods for estimating soil moisture in a complex terrain catchment. PLoS One 8:e54660

    Article  Google Scholar 

  • Zhong D-H, Li M-C, Song L-G, Wang G (2006) Enhanced NURBS modeling and visualization for large 3D geoengineering applications: an example from the Jinping first-level hydropower engineering project, China. Comput Geosci 32:1270–1282

    Article  Google Scholar 

  • Zhu L, Wu X, Liu X, Shang J-G (2004) Introduction and implementation of virtual borehole in the construction of urban 3D strata model. Geogr Geo-Inf Sci 20:26–30

    Google Scholar 

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Correspondence to He Zhengwei.

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Communicated by: H. Babaie

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Xin, Q., He, Z. Three dimensional stratum interpolation and visualization based on section and borehole data from jointing the moving least square method and poisson reconstruction method. Earth Sci Inform 13, 1341–1349 (2020). https://doi.org/10.1007/s12145-020-00514-0

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  • DOI: https://doi.org/10.1007/s12145-020-00514-0

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