Preprints
https://doi.org/10.5194/npg-2020-45
https://doi.org/10.5194/npg-2020-45

  09 Mar 2021

09 Mar 2021

Review status: this preprint was under review for the journal NPG. A revision for further review has not been submitted.

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

Wei Yan1,2 and Zirui Li3 Wei Yan and Zirui Li
  • 1Institute of Geology, China Earthquake Administration, Beijing 100026, China
  • 2China Earthquake Networks Center, Beijing 100045, China
  • 3Ningxia Seismological Brueau, Yinchuan 750001, China

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.

Wei Yan and Zirui Li

Status: closed (peer review stopped)

Comment types: AC – author | RC – referee | CC – community | EC – editor | CEC – chief editor | : Report abuse
  • RC1: 'Comment on npg-2020-45', Anonymous Referee #1, 14 Jun 2021
  • RC2: 'Comment on npg-2020-45', Anonymous Referee #2, 28 Jul 2021

Status: closed (peer review stopped)

Comment types: AC – author | RC – referee | CC – community | EC – editor | CEC – chief editor | : Report abuse
  • RC1: 'Comment on npg-2020-45', Anonymous Referee #1, 14 Jun 2021
  • RC2: 'Comment on npg-2020-45', Anonymous Referee #2, 28 Jul 2021

Wei Yan and Zirui Li

Wei Yan and Zirui Li

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Short summary
The theoretical analysis of the influence of load on the observation of surrounding deformation has research significance in the observation of earthquake precursors or the monitoring of foundation settlement. Some other researchers have obtained the approximate analytical solution of this problem by simplifying the model into a punctate load model. This paper mainly focuses on the exact solution of strain field for irregular shape loads.