A generalized mathematical model for the analysis of sediment basins

There is a process of compactness of sediments in geological time determined by the subsidence of the sedimentation basin. This process is accompanied by a modification of the sediments porosity and a variation of their thickness. The determination of the decompacted thickness of the sediments is crucial for the analysis of the sedimentation basins in order to evaluate the subsidence and the sedimentation rate. The present paper elaborates a general method for the study and analysis of the porosity variation and sediment thickness in geological time.Our case study points out the fact that exponent of the variation law can have rational values, depending upon the analyzed sediment. The proposed mathematical model brings a substantial improvement to the precision of the calculus of sediment basins.