Abstract

We have developed a mathematical model by considering a buried, inclined, finite rectangular strike-slip fault in visco-elastic medium of Burger’s Rheology and the deformation caused in the medium is studied analytically. For modelling of deformations on the surface of viscoelastic half-space, the methods using the theory of dislocations are extended to calculate deformation inside the medium. An analytical expression for displacements, stresses and strains have been derived before the fault movement and after the fault movement by using Green’s function technique and Laplace transform. The variation of displacements, stresses and strains have been studied for (i) creeping fault movement and (ii) sudden fault movement considering two different slip surfaces of the fault crack due to their movement and they are represented by two different functions called slip functions. The effect of (i) different inclinations of the fault with the free surface and (ii) different velocities of the fault movement on stresses, strains and displacements is studied numerically and the results obtained are presented graphically. The amount of stress–strain accumulation or release may give us some idea about the occurrence of future earthquake.

Article Highlights

1. (i)

   Analyzed the ground deformation due to finite fault movement.

2. (ii)

   Represented graphically displacement and stress-strain accumulation, release.

3. (iii)

   Described the ground defomation due creeping and sudden movement across the fault.

中文翻译：

---

汉堡流变学在粘弹性半空间中有限断层上的运动对不同类型裂纹表面的影响

摘要

我们通过考虑Burger's流变学的粘弹性介质中的一个埋入的，倾斜的，有限的矩形走滑断层，开发了一个数学模型，并通过分析研究了在介质中引起的变形。为了模拟粘弹性半空间表面的变形，扩展了使用位错理论的方法来计算介质内部的变形。利用格林函数技术和拉普拉斯变换，导出了断层运动之前和之后的位移，应力和应变的解析表达式。位移的变化 已经针对（i）蠕动断层运动和（ii）突然断层运动研究了应力和应变，考虑了由于断层运动而引起的断层裂缝的两个不同滑动面，它们由称为滑动函数的两个不同函数表示。数值研究了（i）断层自由表面的倾斜度和（ii）断层运动的不同速度对应力，应变和位移的影响，并以图形方式给出了获得的结果。应力-应变累积或释放的数量可能使我们对未来地震的发生有一些了解。对应变和位移进行了数值研究，并以图形方式显示了获得的结果。应力-应变累积或释放的数量可能使我们对未来地震的发生有一些了解。对应变和位移进行了数值研究，并以图形方式显示了获得的结果。应力-应变累积或释放的数量可能使我们对未来地震的发生有一些了解。

文章重点

1. （一世）

   分析了有限断层运动引起的地面变形。

2. （ii）

   用图形表示位移和应力应变的累积，释放。

3. （iii）

   描述了由于蠕变和跨断层突然运动而引起的地面变形。