A new analytical solution which is about shearing stress of sand layer with underlying substratum and upper covering layer under the suppose of known earthquake intensity or layer displacement
is obtained by Laplace transformation; and a new differentiation method for sand liquefaction is proposed. Additionally
the influence of the soil parameters on sand liquefaction is analyzed by computer programming; from which the possibility of sand liquefaction can be judged under different combination conditions. It is of benefit to practical engineering judgement.