Mathematical Geosciences
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Space–Time Distribution of Trichloroethylene Groundwater Concentrations: Geostatistical Modeling and Visualization
Mathematical Geosciences - - Trang 1-28 - 2023
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...
Michael Greenacre: Compositional Data Analysis in Practice
Mathematical Geosciences - Tập 51 Số 6 - Trang 837-839 - 2019
Which Path to Choose in Sequential Gaussian Simulation
Mathematical Geosciences - Tập 50 - Trang 97-120 - 2017
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 ...
Use of Gestalt Theory and Random Sets for Automatic Detection of Linear Geological Features
Mathematical Geosciences - Tập 47 - Trang 249-276 - 2015
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...
A Local Parameterization-Based Probabilistic Cooperative Coevolutionary Algorithm for History Matching
Mathematical Geosciences - - Trang 1-30 - 2023
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...
Contaminant Source Identification in Aquifers: A Critical View
Mathematical Geosciences - Tập 54 - Trang 437-458 - 2021
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...
An Improved Parallel Multiple-point Algorithm Using a List Approach
Mathematical Geosciences - Tập 43 - Trang 305-328 - 2011
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...
A Methodology for Establishing a Data Reliability Measure for Value of Spatial Information Problems
Mathematical Geosciences - Tập 43 - Trang 929-949 - 2011
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...
Geometric Covariograms, Indicator Variograms and Boundaries of Planar Closed Sets
Mathematical Geosciences - - 2011
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