This paper incorporates a simple secondary compression model into the finite strain one-dimensional consolidation equation to calculate the volumetric strain time curve. An explicit finite difference method is used to solve the differential consolidation equation. Results are compared with the laboratory test data with widely different load increment ratio and results calculated from another conventional consolidation equation expressed by the excess pore pressure. The validity for the assumption of the coefficient of volume compressibility defined by the primary compression and the adaptability of the explicit finite difference consolidation analysis are also discussed. It is emphasized that the analysis proposed in this paper is convenient to a rule of trial and error in order to check the coefficient of volume compressibility defined by the primary compression if it is reasonable or not.