球体内点位错产生的球型位移场：Ⅰ．理论

SPHEROIDAL DISPLACEMENT DUE TO POINT DISLOCATIONS IN A SPHERICALEARTH:Ⅰ.THEORY

本文研究了ＳＮＲＥＩ模型内点位错产生的球型位移场．讨论了在用源函数表示的点力作用下的非奇次平衡方程的积分方法．通过定义位错Ｌｏｖｅ数，讨论了４种独立的位错解，并由此描述３种基本位错问题，即剪切位错、引张位错和爆破．导出了这３种位错产生的位移场的计算公式，可以用来计算任意位错源在任意点处的位移场．

This paper studies the spheroidal displacement causedby point dislocations in a SNREI model. We discuss integration method of the equations of equilibrium with an arbitrary point dislocation expressed by source functions.We define dislocation Love numbers to describe the elastic deformation of the earth raised by the shear, tensile dislocations and explosion, which can be expressed by four independent components: a vertical strike slip, a vertical dip slip, a tensile opening on a horizontal plane, and a tensile opening on a vertical plane.We derive formulas for calculating the displacement caused by an arbitrary point dislocation at arbitrary position of the earth.