Journal
STOCHASTIC ENVIRONMENTAL RESEARCH AND RISK ASSESSMENT
Volume 35, Issue 7, Pages 1355-1368Publisher
SPRINGER
DOI: 10.1007/s00477-020-01944-4
Keywords
Multiple-point geostatistics; Stochastic simulation; Conditional conduction probability; Heterogeneous phenomena
Categories
Funding
- National Natural Science Foundation of China [41902304, U1711267, 41942039]
- Open Research Project of the Hubei Key Laboratory of Intelligent Geo-Information Processing [KLIGIP-2018B05]
- Opening Fund of KLGSE
- Fundamental Research Funds for the Central Universities [CUG2019ZR03, CUGCJ1810]
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The paper proposes a new MPS simulation method, CCPSIM algorithm, based on conditional conduction probability to mitigate the uncertainty of MPS realizations. CCPSIM is able to accurately characterize complex spatial structures of heterogeneous phenomena and reduce uncertainty in MPS realizations.
Multiple-point geostatistical (MPS) simulation can enhance extraction and synthesis of various information in earth and environmental sciences. In particular, it is able to characterize the complex spatial structures of heterogeneous phenomena more accurately. In this paper, we propose a new MPS simulation method based on conditional conduction probability, namely the CCPSIM algorithm, to mitigate the uncertainty of MPS realizations. In CCPSIM, the simulated nodes will be treated differently from the original samples. The probability distributions of the simulated nodes will be used as prior conditions to calculate the probability distributions of the following nodes, and the prior conditions will be conducted during the whole simulation process. 2D and 3D synthetic tests are used to verify the applicability and advantages of CCPSIM. The results confirm that CCPSIM is able to reproduce spatial patterns of heterogeneous structures presented in categorical training images, and it reduces the uncertainty of the MPS realizations caused by the undistinguished using of the original known samples and the simulated uncertain values.
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