Mathematical Geosciences

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Introduction to the Special Issue in Honor of André G. Journel
Mathematical Geosciences - - 2021
J. Jaime Gómez-Hernández, R. Mohan Srivastava
Space–Time Distribution of Trichloroethylene Groundwater Concentrations: Geostatistical Modeling and Visualization
Mathematical Geosciences - - Trang 1-28 - 2023
Pierre Goovaerts, Alexa Rihana-Abdallah, Yuncong Pang
This paper describes a geostatistical approach to model and visualize the space–time distribution of groundwater contaminants. It is illustrated using data from one of the world’s largest plume of trichloroethylene (TCE) contamination, extending over 23 km2, which has polluted drinking water wells in northern Michigan. A total of 613 TCE concentrations were recorded at 36 wells between May 2003 an...... hiện toàn bộ
Michael Greenacre: Compositional Data Analysis in Practice
Mathematical Geosciences - Tập 51 Số 6 - Trang 837-839 - 2019
Raimon Tolosana‐Delgado
Which Path to Choose in Sequential Gaussian Simulation
Mathematical Geosciences - Tập 50 - Trang 97-120 - 2017
Raphaël Nussbaumer, Grégoire Mariethoz, Erwan Gloaguen, Klaus Holliger
Sequential Gaussian Simulation is a commonly used geostatistical method for populating a grid with a Gaussian random field. The theoretical foundation of this method implies that all previously simulated nodes, referred to as neighbors, should be included in the kriging system of each newly simulated node. This would, however, require solving a large number of linear systems of increasing size as ...... hiện toàn bộ
Use of Gestalt Theory and Random Sets for Automatic Detection of Linear Geological Features
Mathematical Geosciences - Tập 47 - Trang 249-276 - 2015
Dafni Sidiropoulou Velidou, Valentyn A. Tolpekin, Alfred Stein, Tsehaie Woldai
This paper presents the calibration and application of a Gestalt-based line segment method for automatic geological lineament detection from remote sensing images. This method involves estimation of the scale factor, the angle tolerance and a threshold on the false alarm rate. It identifies major lineaments as objects characterized by two edges on the image, which appear as transitions from dark t...... hiện toàn bộ
A Local Parameterization-Based Probabilistic Cooperative Coevolutionary Algorithm for History Matching
Mathematical Geosciences - - Trang 1-30 - 2023
Jinding Zhang, Xin Guo, Zihao Zhao, Kai Zhang, Xiaopeng Ma, Weifeng Liu, Jian Wang, Chen Liu, Yongfei Yang, Chuanjin Yao, Jun Yao
History matching, as an essential part of reservoir development, aims to infer high-dimensional geological parameters of a reservoir with a small amount of observation. Despite the rapid development of optimization algorithms, finding optimal solutions for history matching is still challenging because of the large number of parameters that depend on the grid blocks of the numerical simulation mode...... hiện toàn bộ
Contaminant Source Identification in Aquifers: A Critical View
Mathematical Geosciences - Tập 54 - Trang 437-458 - 2021
J. Jaime Gómez-Hernández, Teng Xu
Forty years and 157 papers later, research on contaminant source identification has grown exponentially in number but seems to be stalled concerning advancement towards the problem solution and its field application. This paper presents a historical evolution of the subject, highlighting its major advances. It also shows how the subject has grown in sophistication regarding the solution of the cor...... hiện toàn bộ
An Improved Parallel Multiple-point Algorithm Using a List Approach
Mathematical Geosciences - Tập 43 - Trang 305-328 - 2011
Julien Straubhaar, Philippe Renard, Grégoire Mariethoz, Roland Froidevaux, Olivier Besson
Among the techniques used to simulate categorical variables, multiple-point statistics is becoming very popular because it allows the user to provide an explicit conceptual model via a training image. In classic implementations, the multiple-point statistics are inferred from the training image by storing all the observed patterns of a certain size in a tree structure. This type of algorithm has t...... hiện toàn bộ
A Methodology for Establishing a Data Reliability Measure for Value of Spatial Information Problems
Mathematical Geosciences - Tập 43 - Trang 929-949 - 2011
W. J. Trainor-Guitton, J. K. Caers, T. Mukerji
We propose a value of information (VOI) methodology for spatial Earth problems. VOI is a tool to determine whether purchasing a new information source would improve a decision-makers’ chances of taking the optimal action. A prior uncertainty assessment of key geologic parameters and a reliability of the data to resolve them are necessary to make a VOI assessment. Both of these elements are challen...... hiện toàn bộ
Geometric Covariograms, Indicator Variograms and Boundaries of Planar Closed Sets
Mathematical Geosciences - - 2011
Xavier Emery, Christian Lantuéjoul
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