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3D Property Modeling of Void Ratio by Cokriging |
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| Authors: | Yao Lingqing Pan Mao Cheng Qiuming |
| Institution: | 1. State Key Laboratory of Geological Processes and Mineral Resources, China University of Geosciences,Wuhan 430074, China; Key Laboratory of Orogenic Belts and Crustal Evolution,Ministry of Education, Peking University, Beijing 100871, China 2. Key Laboratory of Orogenic Belts and Crustal Evolution, Ministry of Education, Peking University,Beijing 100871, China 3. State Key Laboratory of Geological Processes and Mineral Resources, China University of Geosciences,Wuhan 430074, China; Department of Earth and Space Science and Engineering, York University,Toronto ON M3J1P3, Canada |
| Abstract: | Void ratio measures compactness of ground soil in geotechnical engineering. When samples are collected in certain area for mapping void ratios, other relevant types of properties such as water content may be also analyzed. To map the spatial distribution of void ratio in the area based on these types of point, observation data interpolation is often needed. Owing to the variance of sampling density along the horizontal and vertical directions, special consideration is required to handle anisotropy of estimator. 3D property modeling aims at predicting the overall distribution of property values from limited samples, and geostatistical method can he employed naturally here because they help to minimize the mean square error of estimation. To construct 3D property model of void ratio, cokriging was used considering its mutual correlation with water content, which is another important soil parameter. Moreover, K-D tree was adopted to organize the samples to accelerate neighbor query in 3D space during the above modeling process. At last, spatial configuration of void ratio distribution in an engineering body was modeled through 3D visualization, which provides important information for civil engineering purpose. |
| Keywords: | property modeling cokriging variogram anisotropy K-D tree |
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