Biot方程的完备通解在一维情况下的验证

Intermediate variables are structured based on the general solution of Biot consolidation theory in one dimensional, which are functions of coordinates and time. Then analytic solutions of displacement and pore pressure in one dimensional are obtained. By using the boundary conditions of a consolidation example, coefficients of the intermediate variables are obtained, and also the expressions of the displacement and pore pressure, which are namely the one dimensional solutions of Biot consolidation theory. Then make use of Terzaghi consolidation theory to analyze the same example. The two solutions are coincident, that meets the necessity of the uniformity of Biot theory and Terzaghi theory in one dimension and proves the practicability of the general solution of Biot consolidation theory. Then a support to explore the application of the general solution is offered.