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In order to study the uplifting effect of compensation grouting on ground surface and the upper structures, the ground heave induced by stratum expansion was considered as a stochastic process and the stochastic medium theory was applied to determine the heave and deformation of ground surface under uniform and non-uniform expansion models of spherical grout bulb.The corresponding calculating formulas and simplified methods were derived based on the hypotheses of radial expansion. Then, a numerical model, in which radial velocity was imposed on the outer nodes of grout bulb to simulate the expansion process reaching a required volume strain, was established simultaneously. This new method avoids repeated trial calculation needed in the traditional method which applies a fictitious expanding pressure in the grouting elements. The results show that the numerical solutions have good consistency with the theoretical ones. Meanwhile, though the heave resulting from non-uniform expansion is larger than that from uniform expansion for shallow grouting, both of them tend to be convergent with the increasing of grouting depth.