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SIAM journal on applied mathematics, Vol.59 No.1. Fast and Slow Compaction in Sedimentary Basins / A. C. Fowler
in SIAM journal on applied mathematics
Titre de série : SIAM journal on applied mathematics, Vol.59 No.1 Titre : Fast and Slow Compaction in Sedimentary Basins Type de document : articles et extraits Auteurs : A. C. Fowler, Auteur ; X.-S. Yang, Auteur Année de publication : 1998 Importance : p.365-385 ISBN/ISSN/EAN : 0036-1399 Langues : Français (fre) Mots-clés : abnormal pore pressure compaction sedimentary basins Résumé : A mathematical model of compaction in sedimentary basins is presented and analyzed. Compaction occurs when accumulating sediments compact under their own weight, expelling pore water in the process. If sedimentation is rapid or the permeability is low, then high pore pressures can result, a phenomenon which is of importance in oil drilling operations. Here we show that one-dimensional compaction can be described in its simplest form by a nonlinear diffusion equation, controlled principally by a dimensionless parameter $\lambda$, which is the ratio of the hydraulic conductivity to the sedimentation rate. Large $\lambda$ corresponds to very permeable sediments, or slow sedimentation, a situation which we term ""fast compaction,"" since the rapid pore water expulsion allows the pore water pressure to equilibrate to a hydrostatic value. On the other hand, small $\lambda$ corresponds to ""slow compaction,"" and the pore pressure is in excess above the hydrostatic value and more nearly equal to the overburden value. We provide analytic and numerical results for both large and small $\lambda$, using also the assumption that the permeability is a strong function of porosity. In particular, we can derive Athy's law (that porosity decreases exponentially with depth) when $\lambda\gg 1$.
in SIAM journal on applied mathematics
SIAM journal on applied mathematics, Vol.59 No.1. Fast and Slow Compaction in Sedimentary Basins [articles et extraits] / A. C. Fowler, Auteur ; X.-S. Yang, Auteur . - 1998 . - p.365-385.
ISSN : 0036-1399
Langues : Français (fre)
Mots-clés : abnormal pore pressure compaction sedimentary basins Résumé : A mathematical model of compaction in sedimentary basins is presented and analyzed. Compaction occurs when accumulating sediments compact under their own weight, expelling pore water in the process. If sedimentation is rapid or the permeability is low, then high pore pressures can result, a phenomenon which is of importance in oil drilling operations. Here we show that one-dimensional compaction can be described in its simplest form by a nonlinear diffusion equation, controlled principally by a dimensionless parameter $\lambda$, which is the ratio of the hydraulic conductivity to the sedimentation rate. Large $\lambda$ corresponds to very permeable sediments, or slow sedimentation, a situation which we term ""fast compaction,"" since the rapid pore water expulsion allows the pore water pressure to equilibrate to a hydrostatic value. On the other hand, small $\lambda$ corresponds to ""slow compaction,"" and the pore pressure is in excess above the hydrostatic value and more nearly equal to the overburden value. We provide analytic and numerical results for both large and small $\lambda$, using also the assumption that the permeability is a strong function of porosity. In particular, we can derive Athy's law (that porosity decreases exponentially with depth) when $\lambda\gg 1$.
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Code-barres Cote Support Localisation Section Disponibilité ART-8147-0 ART Document imprimé Bureau chercheur Bureau de TERNAT Fabien Disponible TECHNICAL EVALUATION REPORT ON THE SYMPOSIUM ON AERODYNAMIC AND RELATED HYDRODYNAMIC STUDIES USING. / SMITH A.M.O.
Titre : TECHNICAL EVALUATION REPORT ON THE SYMPOSIUM ON AERODYNAMIC AND RELATED HYDRODYNAMIC STUDIES USING. Type de document : document imprimé Auteurs : SMITH A.M.O., Auteur Editeur : ONERA Année de publication : 32021 Collection : (AGARD-AR-225). Importance : 10,00 ISBN/ISSN/EAN : 92-8351-556-0 Langues : Français (fre) Mots-clés : AERODYNAMICS DYNAMICS TOOLS HYDRAULIC TEST TUNNELS HYDRODYNAMICS MEETINGS MODEL BASINS TEST FACILITIES Note de contenu : AGARD 7 Rue Ancelle, 92200
TECHNICAL EVALUATION REPORT ON THE SYMPOSIUM ON AERODYNAMIC AND RELATED HYDRODYNAMIC STUDIES USING. [document imprimé] / SMITH A.M.O., Auteur . - ONERA, 32021 . - 10,00. - ((AGARD-AR-225).) .
ISBN : 92-8351-556-0
Langues : Français (fre)
Mots-clés : AERODYNAMICS DYNAMICS TOOLS HYDRAULIC TEST TUNNELS HYDRODYNAMICS MEETINGS MODEL BASINS TEST FACILITIES Note de contenu : AGARD 7 Rue Ancelle, 92200
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Code-barres Cote Support Localisation Section Disponibilité MA2427 Document imprimé Bureau chercheur Indéterminé Disponible