A simple model of pressure build-up caused by porosity reduction during burial

The fluid-pressure build-up due to porosity reduction in sedimentary basins during burial is studied. The model assumes that the void ratio decreases exponentially with depth, and that the permeability is proportional to the void ratio to an arbitrary exponent. Simple analytical solutions are obtained for the Darcy velocity and the fluid excess pressure. The pressure build-up during burial is studied with these solutions, and it is found to be inversely proportional to the gravity number. The importance of the permeability exponents on the fluid pressure is also studied. Gravity numbers much less than 1 are shown to yield high excess pressures during burial. A reasonable approximation for the maximum Darcy velocity is found to be the product of the surface void ratio and the burial rate. Hydrofracturing is discussed in relation to the pressure build-up, and cases characterized by gravity numbers much less than 1 are found to yield hydrofracturing over large depth ranges. It is suggested that the average permeability of hydrofractured sediments during burial corresponds to a gravity number equal to 1.