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研究了两个弹性层覆盖于一个Ｍａｘｗｅｌ半空间模型内膨胀源（Ｍｏｇｉ模型）引起的地表形变和重力变化．着重研究了数值计算方法和Ｍａｘｗｅｌ半空间介质流变特性对地表垂直位移和重力的影响．研究结果表明，Ｍａｘｗｅｌ半空间介质流变特性对地表垂直位移和重力的空间分布和量级都有影响，尤其当源处于岩石层的地壳以下时，介质流变特性对位移和重力有较大影响；当膨胀和岩浆侵入地壳内时，半空间流变特性的影响较小．并且，地表重力与垂直位移的比值不是常数，而是随时间变化．本文的模型和数值方法，可以用于模拟火山区、地壳隆起区、地震区和地热场等长期地表形变和重力观测结果．
The surface deformation and gravity changes caused by two elastic layers covered by a Maxwell half-space expansion source (Mogi model) are studied. The effects of numerical methods and Maxwell half-space medium rheological properties on vertical displacements and gravimetric forces are studied emphatically. The results show that the rheological properties of Maxwell half-space media have an influence on the vertical displacement of the ground and the spatial distribution and magnitude of gravity, especially when the source is below the crust of the lithosphere, and the rheological characteristics of the media have a great influence on the displacement and gravity When expansion and magma invaded the crust, the influence of the half-space rheological properties was small. And, the ratio of surface gravity to vertical displacement is not constant but varies over time. The model and numerical method in this paper can be used to simulate long-term surface deformation and gravity observations such as volcanic area, crustal uplift, seismic area and geothermal field.