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An algorithm for 3D simulation of branchwork karst networks using Horton parameters and 𝒜★ Application to a synthetic case

By
Pauline Collon-Drouaillet
Pauline Collon-Drouaillet
CRPG-CNRS, ENSG, Université de Lorraine, rue du doyen Marcel Roubault, BP 40, 54501 Vandoeuvre-lès-Nancy, France
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Vincent Henrion
Vincent Henrion
1
Present address: Total EP, CSTJF, avenue Larribau, Pau, France
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Jeanne Pellerin
Jeanne Pellerin
CRPG-CNRS, ENSG, Université de Lorraine, rue du doyen Marcel Roubault, BP 40, 54501 Vandoeuvre-lès-Nancy, France
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Published:
January 01, 2012

Abstract

This paper presents a method to stochastically simulate 3D karstic networks and more specifically branchwork pattern cave systems. Considering that they can be compared with 3D fluvial networks, the topological classification of Strahler and the corresponding ratios of Horton are used to define three morphometric parameters. These parameters are integrated in an algorithm that computes branches hierarchically to obtain a final network organized around the main observed inlet and outlet with a branching complexity controlled by the user. Each branch corresponds to a low-cost path between two points calculated with the 𝒜★ graph search algorithm. Speleogenetic information on inception horizons, palaeo-water tables and fractures is accounted for by adapted definitions of the searching functions of 𝒜★. The method is demonstrated on a 3D synthetic case with discrete fractures networks, inception horizons and a palaeo-water table. The simulated karsts have a realistic geometry and are geologically consistent.

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Contents

Geological Society, London, Special Publications

Advances in Carbonate Exploration and Reservoir Analysis

J. Garland
J. Garland
Cambridge Carbonates Ltd, UK
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J. E. Neilson
J. E. Neilson
University of Aberdeen, UK
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S. E. Laubach
S. E. Laubach
University of Texas at Austin, USA
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K. J. Whidden
K. J. Whidden
USGS, USA
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Geological Society of London
Volume
370
ISBN electronic:
9781862396180
Publication date:
January 01, 2012

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