Abstract. Based on the analytic displacement solution caused by the punctate load model, we derived the calculation formulas of peripheral strain Field. This method can provide a theoretical basis for the quantitative calculation of the load influence of borehole strain observation. On this basis, using the superposition principle, we present a method for calculating the strain effect of two-dimensional and three-dimensional irregular shape loads. The results show that: (1) To solve the problem of two-dimensional irregular shape load model, we can calculate it by vector superposition after load scattering. (2) To solve the problem of three-dimensional irregular shape load model, we can use the two-dimensional irregular shape load method to calculate with assigning different weights to the scattered points after the load scattering. (3) There are obvious convergence processes in the vector superposition process after scattering of two-dimensional and three-dimensional irregular loads, which shows the correctness and feasibility of the calculation method. (4) The calculation method introduced in this paper can provide a research basis for quantitative analysis of influence of disturbance of peripheral load in borehole strain observation.

中文翻译：

---

井眼应变观测附近不规则形状载荷影响的解析解

摘要。基于点状荷载模型引起的解析位移解，推导了周边应变场的计算公式。该方法可为定量计算井眼应变观测的载荷影响提供理论依据。在此基础上，利用叠加原理，提出了一种计算二维和三维不规则形状载荷的应变效应的方法。结果表明：（1）为了解决二维不规则形状载荷模型的问题，可以通过载荷分散后的矢量叠加来计算。（2）为了解决三维不规则形状载荷模型的问题，可以采用二维不规则形状载荷方法进行计算，在载荷散射后，对散射点分配不同的权重。（3）二维和三维不规则载荷分散后，矢量叠加过程中存在明显的收敛过程，说明了该计算方法的正确性和可行性。（4）本文介绍的计算方法为定量分析井眼应变对周边载荷扰动的影响提供了研究依据。