Simulation of Sedimentary Basins

In this chapter we focus on mathematical and numerical models of coupled partial differential equations governing geological processes. We consider a model governing some of the fundamental space-time geological processes in sedimentary basins. The mathematical model couples fluid and heat transfer in time in a deforming porous medium. A finite element discretization technique with a fully implicit approach represent the most robust and reliable solution. The basin model is used in a case study simulating the cooling of a high temperature (1100 degrees C) horizontal magmatic intrusion (sill), including the aspects of maturity of hydrocarbons. The model is able to handle sharp temperature gradients and give a quantitative description of the conductive and advective temperature transfer, which causes changes in the pore pressure, fluid circulation, as well as effective and thermal stresses, in the proximity of the sill.

[1]  D. Welte,et al.  Petroleum Formation and Occurrence , 1989 .

[2]  A finite element formulation in Lagrangian co‐ordinates for heat and fluid flow in compacting sedimentary basins , 1993 .

[3]  T. Hughes,et al.  Streamline upwind/Petrov-Galerkin formulations for convection dominated flows with particular emphasis on the incompressible Navier-Stokes equations , 1990 .

[4]  A. Burnham,et al.  Evaluation of a Simple Model of Vitrinite Reflectance Based on Chemical Kinetics , 1990 .

[5]  P. T. Delaney Rapid intrusion of magma into wet rock: Groundwater flow due to pore pressure increases , 1982 .

[6]  A. M. Britto,et al.  Critical State Soil Mechanics via Finite Elements , 1987 .

[7]  Hans Petter Langtangen,et al.  Computational Partial Differential Equations - Numerical Methods and Diffpack Programming , 1999, Lecture Notes in Computational Science and Engineering.

[8]  D. Norton,et al.  Preliminary numerical analysis of processes related to magma crystallization and stress evolution in cooling pluton environments , 1981 .

[9]  V. Larsen,et al.  Vøring Basin: subsidence and tectonic evolution , 1992 .

[10]  D. McKenzie,et al.  Some remarks on the development of sedimentary basins , 1978 .

[11]  G. Pinder,et al.  Computational Methods in Subsurface Flow , 1983 .

[12]  Bernhard A. Schrefler,et al.  The Finite Element Method in the Deformation and Consolidation of Porous Media , 1987 .

[13]  M. Biot General Theory of Three‐Dimensional Consolidation , 1941 .

[14]  E. Palm,et al.  Modelling of thermal convection in sedimentary basins and its relevance to diagenetic reactions , 1988 .