Polyakova, Evgenia I. Journel, Andre G.
Published in
Mathematical Geology

The general problem of data integration is expressed as that of combining probability distributions conditioned to each individual datum or data event into a posterior probability for the unknown conditioned jointly to all data. Any such combination of information requires taking into account data interaction for the specific event being assessed. ...

Dommergues, Cyril H. Dommergues, Jean-Louis Verrecchia, Eric P.
Published in
Mathematical Geology

The discrete cosine transform (DCT) is described and then tested to see whether it is a suitable Fourier-related method for morphometric analysis of open outlines. While most Fourier methods are mainly effective with closed outlines, the DCT can handle open curves too, making it useful for quantitative descriptions of a broad range of natural objec...

Weller, Andrew F. Harris, Anthony J. Ware, J. Andrew
Published in
Mathematical Geology

An improvement in the supervised artificial neural network classification of sedimentary organic matter images from palynological preparations is presented. Sedimentary organic matter encompasses the entire acid-resistant organic micro-particles (typically with a diameter of 5–500 μm) recovered from a sediment or sedimentary rock. Supervised neural...

Viktorov, Alexey
Published in
Mathematical Geology

The estimation of the risk caused by hazardous geological processes is a common problem. The aim of this paper is to present a method for solving problems involving a wide spectrum of diffuse exogenous geological processes, based on the mathematical morphology of landscapes. Diffuse processes develop as random rounded sites within certain areas and...

Ross, James Ozbek, Metin Pinder, George F.
Published in
Mathematical Geology

A measure of hydraulic conductivity is arguably the most important variable to practicing hydrogeologists. However, the amount of readily available hydraulic conductivity data at any site is generally small, given the resources required to adequately sample a spatial domain. However, other hydrogeologic data, such as grain size distributions and so...

Mulchrone, Kieran F.
Published in
Mathematical Geology

Geological materials are largely heterogeneous and are typically comprised of approximately ellipsoidal objects immersed in a matrix with different physical properties. Methodologies for the identification of ancient regional tectonic patterns may be developed based on an understanding of the behaviour of heterogeneous materials. In this contributi...

Pereira, Manuel Francisco Lucio, Paulo Sérgio
Published in
Mathematical Geology

Insufficient field test results and a sufficiently large degree of spatial disorder exhibited by melt flow properties on sheared migmatites leads us to use stochastic methods to describe the distribution and orientation of leucogranitoid veins in sheared continental crust. Qualitative data present challenges to evaluators seeking to analyse visual ...

Palarea-Albaladejo, Javier Martín-Fernández, Josep A. Gómez-García, Juan
Published in
Mathematical Geology

In this work, a parametric approach for replacing data below the detection limit, also known as rounded zeros, in compositional data sets is proposed. Compositional rounded zeros correspond to small proportions of some whole that cannot be reliably detected by the analytical instruments under given operating conditions. This kind of zeros appear fr...

Dowd, Peter A. Xu, Chaoshui Mardia, Kanti V. Fowell, Robert J.
Published in
Mathematical Geology

Methods reported in the literature for rock fracture simulations include approaches based on stochastic geometry, multiple-point statistics and a combination of geostatistics for fracture density and object-based modelling for fracture geometries. The advantages and disadvantages of each of these approaches are discussed with examples. By way of re...

Osman, Onur Albora, A. Muhittin Ucan, Osman Nuri
Published in
Mathematical Geology

In this paper, we introduce a new method called Forced Neural Network (FNN) to find the parameters of the object in geophysical section respect to gravity anomaly assuming the prismatic model. The aim of the geological modeling is to find the shape and location of underground structure, which cause the anomalies, in 2D cross section. At the first s...