A mathematical model for compaction in sedimentary basins

Mathematical Modelling of Compaction and Diagenesis in Sedimentary Basins

Fast and Slow Compaction in Sedimentary Basins

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 compactio...

Pressure solution and viscous compaction in sedimentary basins

Mathematical models of compaction in sedimentary basins typically assume a relationship between effective pressure p• and porosity •, which is of a non-linear type; that is, p• = p•(d). However, at depths greater than a kilometer, pressure solution becomes important and this relationship approaches a viscous one. We derive a mathematical model for viscous compaction in sedimentary basins and sh...

A Mathematical Model for Analysis of Mountain Drainage Basins

Dissolution /precipitation mechanisms for diagenesis in sedimentary basins

[1] The transformation of hydrated clay minerals (smectite) to anhydrous forms (illite) occurs in the diagenesis of shales in sedimentary basins. The released pore water can lead to excess pore pressures and is of concern in oil drilling operations. Most simply, the process can be modeled as a first-order thermally activated reaction, but an alternative interpretation is that diagenesis occurs ...