PORT WORKS DESIGN MANUAL PART 3 Guide To - The University ...

89C OF BY ASAOKA'S METHODC.IGeneralThis appendix describes the method, namely Asaoka's graphical method, which can be usedto verify the primary consolidation settlement using the field monitoring data of settlement.C.2 Principle of VerificationIf a function s(t) is given bys(t) = a(l- be~ ct ) where a, b and c are constant, and c> 0 (C 1 )the discrete values of s(t) at equal time intervals of At can be characterised by the followingrecurrence equation:ft^iAt) ] (C2)where ft = e~ cAt (C3)According to the solutions for both Terzaghi's one dimensional theory of consolidation andBarren's theory of radial consolidation, the primary consolidation settlement at time t and s(t)can be expressed in the form of Equation Cl as below:Terzaghi:(C4)7T 2 C,AtTherefore, ft=e~ 4f{2Barren:Therefore,__8c i A/_J3,=e D * F(n)(C5)The meanings of the constants H, D and F(n) are given in Appendix B.