Using matrix-based rationalized Haar wavelet method for solving consolidation equation

Abstract

Settlement and pore water pressure in soils during the consolidation process are of great concern for geotechnical and structural engineers. Therefore, different analytical and numerical methods have been proposed for its solution considering the complexity of soil behavior and geometry of soil layers. In this research study, consolidation equation has been solved using the matrix-based rationalized Haar wavelet transform method. Two typical and most commonly used cases are solved and compared with the classical solution method which is based on Taylor series expansion. The proposed method is fast, convenient and requires less computational effort due to its matrix calculation implementation and it yields accurate results when compared with the classical solution. Furthermore, this method may be used for implementing explicit functions rather than a constant value for the consolidation coefficient (c[Formula: see text]).