Analytical Solution for the Influence of Irregular Shape Loads Near the Borehole Strain Observation

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.