The Influence of Gold and the Origin of Geostatistics
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For economic reasons this gold mining was and still is conducted on a selective block basis and calls for intensive and regular sampling of...
The expansion of environmental geostatistics
Since April of 2021 Purchased: 0 times The expansion of environmental geostatistics
Introduction Environment, and more precisely pollution, appeared very early among the initial applications of geostatistics [15, 19, 33], but is seldom...
The Boolean Model
Since April of 2021 Purchased: 0 times The Boolean Model: from Matheron till Today
Introduction Until the 1970s random sets were only a marginal or exotic part of probability theory. This situation has changed completely since the...
Simulations
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Non-linear methods are more powerful than linear ones. They are however more demanding in terms of hypotheses, reducing the robustness of models with respect to reality. Hence the economy...
Sequential or parallel
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Several algorithms are sometimes available to simulate a given model. Which one should be chosen? Among all possible criteria (correctness, accuracy, stability, speed, memory...
Random Structures in Physics
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Introduction One of the major contributions of Georges Matheron to the Sciences of the 20th century concerns the field of Physics of random media. This important...
Random Closed Sets
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Early years of random sets Concepts and results involving random sets appeared in probabilistic and statistical literature long time ago. The origin of the modern concept of a...
Predicting by a Monte Carlo method
Since April of 2021 Purchased: 0 times Predicting by a Monte Carlo method
2.1 General principle Reality is considered as a regionalized variable (RV) z z(x), x V0 defined at each point of a domain V0 of IRd. This RV may be a...
Partial Differential Equations for Morphological Operators
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Introduction Two of G. Matherons seminal contributions have been his development of size distributions (else called granulometries) and...
Over Thirty Years of Petroleum Geostatistics
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Introduction If someone made a survey at the three major annual petroleum conferences, the AAPG for geologists, the SEG for geophysicists, and the SPE for...
Non stationary geostatistics
Since April of 2021 Purchased: 0 times Non stationary geostatistics
Kriging with external drift Consider the model with residual Z(x) aY (x) b R(x) . In some circumstances the master variable Y is known everywhere and is used as an...
Multivariate geostatistics
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Linear geostatistics can naturally be extended to several variables (such as different concentrations, or a variable and its gradient, etc.) Cokriging allows estimating...
Morphological Decomposition Systems with Perfect Reconstruction
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Introduction Multiresolution methods in signal and image processing are very useful for the following...
Mophological Operators for the Segmentation of Colour Images
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Introduction During his long and fruitful career, Georges Matheron never tackled the two themes of segmentation and colour processing of...
Model enrichment
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The models presented above are simple prototypes. In practical applications, the parameters often display some spatial evolution: the marginal distribution (e.g. the proportions of...
Linear geostatistics
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2.1 The origin Matheron discovered the work of the South African school during his first professional appointment with the French Geological Survey in Algeria in 1954. One year...
Iterative or non
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As seen above, the algorithm for simulating a GRF conditionally is straightforward. This is more the exception than the rule. Most often algorithms are iterative: 1....
Flow in porous media
Since April of 2021 Purchased: 0 times Flow in porous media: An attempt to outline Georges Matherons contributions
1 A brief assessment During the last three decades of the 20th century, the application of a stochastic approach to flow in...
Discrete or continuous
Since April of 2021 Purchased: 0 times Discrete or continuous
The previous section has already pointed out the importance of the simulation field. In common practice, three different types of field can be encountered, namely a limited...
Conditional or not
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Even if the predictor presented in this paper is based on conditional simulations, non conditional simulations are nonetheless worthwhile being considered. At least three arguments...