A Pattern Classification Distribution Method for Geostatistical Modeling Evaluation and Uncertainty Quantification

Geological models are essential components in various applications. To generate reliable realizations, the geostatistical method focuses on reproducing spatial structures from training images (TIs). Moreover, uncertainty plays an important role in Earth systems. It is beneficial for creating an ense...

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Main Authors: Chen Zuo, Zhuo Li, Zhe Dai, Xuan Wang, Yue Wang
Format: Article
Language:English
Published: MDPI AG 2023-05-01
Series:Remote Sensing
Subjects:
Online Access:https://www.mdpi.com/2072-4292/15/11/2708
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author Chen Zuo
Zhuo Li
Zhe Dai
Xuan Wang
Yue Wang
author_facet Chen Zuo
Zhuo Li
Zhe Dai
Xuan Wang
Yue Wang
author_sort Chen Zuo
collection DOAJ
description Geological models are essential components in various applications. To generate reliable realizations, the geostatistical method focuses on reproducing spatial structures from training images (TIs). Moreover, uncertainty plays an important role in Earth systems. It is beneficial for creating an ensemble of stochastic realizations with high diversity. In this work, we applied a pattern classification distribution (PCD) method to quantitatively evaluate geostatistical modeling. First, we proposed a correlation-driven template method to capture geological patterns. According to the spatial dependency of the TI, region growing and elbow-point detection were launched to create an adaptive template. Second, a combination of clustering and classification was suggested to characterize geological realizations. Aiming at simplifying parameter specification, the program employed hierarchical clustering and decision tree to categorize geological structures. Third, we designed a stacking framework to develop the multi-grid analysis. The contribution of each grid was calculated based on the morphological characteristics of TI. Our program was extensively examined by a channel model, a 2D nonstationary flume system, 2D subglacial bed topographic models in Antarctica, and 3D sandstone models. We activated various geostatistical programs to produce realizations. The experimental results indicated that PCD is capable of addressing multiple geological categories, continuous variables, and high-dimensional structures.
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spelling doaj.art-dbc596e594dd4fb5ad4fa70bb03b4c902023-11-18T08:27:35ZengMDPI AGRemote Sensing2072-42922023-05-011511270810.3390/rs15112708A Pattern Classification Distribution Method for Geostatistical Modeling Evaluation and Uncertainty QuantificationChen Zuo0Zhuo Li1Zhe Dai2Xuan Wang3Yue Wang4Department of Big Data Management and Applications, Chang’an University, Xi’an 710064, ChinaDepartment of Big Data Management and Applications, Chang’an University, Xi’an 710064, ChinaDepartment of Big Data Management and Applications, Chang’an University, Xi’an 710064, ChinaSchool of Computer and Control Engineering, Yantai University, Yantai 264005, ChinaXi’an Key Laboratory of Digital Construction and Management for Transportation Infrastructure, Xi’an 710064, ChinaGeological models are essential components in various applications. To generate reliable realizations, the geostatistical method focuses on reproducing spatial structures from training images (TIs). Moreover, uncertainty plays an important role in Earth systems. It is beneficial for creating an ensemble of stochastic realizations with high diversity. In this work, we applied a pattern classification distribution (PCD) method to quantitatively evaluate geostatistical modeling. First, we proposed a correlation-driven template method to capture geological patterns. According to the spatial dependency of the TI, region growing and elbow-point detection were launched to create an adaptive template. Second, a combination of clustering and classification was suggested to characterize geological realizations. Aiming at simplifying parameter specification, the program employed hierarchical clustering and decision tree to categorize geological structures. Third, we designed a stacking framework to develop the multi-grid analysis. The contribution of each grid was calculated based on the morphological characteristics of TI. Our program was extensively examined by a channel model, a 2D nonstationary flume system, 2D subglacial bed topographic models in Antarctica, and 3D sandstone models. We activated various geostatistical programs to produce realizations. The experimental results indicated that PCD is capable of addressing multiple geological categories, continuous variables, and high-dimensional structures.https://www.mdpi.com/2072-4292/15/11/2708geostatistical modelingmultiple-point statisticsuncertainty quantificationsubglacial topographic modelhydrological model
spellingShingle Chen Zuo
Zhuo Li
Zhe Dai
Xuan Wang
Yue Wang
A Pattern Classification Distribution Method for Geostatistical Modeling Evaluation and Uncertainty Quantification
Remote Sensing
geostatistical modeling
multiple-point statistics
uncertainty quantification
subglacial topographic model
hydrological model
title A Pattern Classification Distribution Method for Geostatistical Modeling Evaluation and Uncertainty Quantification
title_full A Pattern Classification Distribution Method for Geostatistical Modeling Evaluation and Uncertainty Quantification
title_fullStr A Pattern Classification Distribution Method for Geostatistical Modeling Evaluation and Uncertainty Quantification
title_full_unstemmed A Pattern Classification Distribution Method for Geostatistical Modeling Evaluation and Uncertainty Quantification
title_short A Pattern Classification Distribution Method for Geostatistical Modeling Evaluation and Uncertainty Quantification
title_sort pattern classification distribution method for geostatistical modeling evaluation and uncertainty quantification
topic geostatistical modeling
multiple-point statistics
uncertainty quantification
subglacial topographic model
hydrological model
url https://www.mdpi.com/2072-4292/15/11/2708
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