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采用求解地壳单层密度变化的一般公式,导出其平面近似公式并给出了相应的数值计算方法。在此基础上,将点位错引起的地表形变和重力变化同时解析延拓至Bjerhammar球面上,得到了点位错引起的地壳单层密度变化的图像。分析表明:①单层密度变化图像与地表形变、重力变化图像相似;②地表形变对单层密度变化的影响比地表重力变化要大;③若点位错引起地表重力变化为10-6~10-7m/s2量级、高程变化为0.1~1m量级,则单层密度变化可达103~104kg/m2量级;④单层密度变化在隆升区为正,沉降区为负
The general formula for solving the single layer density change of the crust is derived, and the approximate formula of its plane is derived and the corresponding numerical calculation method is given. On this basis, the surface deformation and the gravity change caused by the point dislocation are resolved and extended to the Bjerhammar sphere at the same time, and the image of the crustal monolayer density change caused by the point dislocation is obtained. The analysis shows that: (1) the images of single layer density change are similar to the image of surface deformation and gravity change; (2) the influence of surface deformation on single layer density change is greater than that of surface gravity; (3) -7m / s2, and the variation of elevation is on the order of 0.1 ~ 1m, the variation of single layer density can reach the level of 103 ~ 104kg / m2. ④ The single layer density change is positive in the uplift area and negative in the sedimentation area