This article presents an applications of boundary element method (BEM) in engineering to numerically analyse the water percolation velocity inside an earth dam structure from a temperature measurement device inside. This device is known like distributed temperature sensing (DTS) and recent articles points it as a promising system for the safety monitoring of large structures such as gas pipelines, embankments, highway slopes and dams. Thus, in an unprecedented way, this work investigates the feasibility of using DTS to indirectly determine the advective velocity observed during the percolation of water inside the structure of an earth dam, in order to identify possible problems of internal erosion that may lead to rupture of the structure. For this purpose, our mathematical model called D-BEM, uses a time independent fundamental solution and the Monte Carlo Method is combined to BEM for the calculation of domain integrals. The solution of the system of equations is based on the Gaussian elimination method, being verified the stability of the proposed formulation. The numerical results on the feasibility of using DTS to monitor earth dams, as well the entire formulation of boundary elements are presented below.

本文介绍了边界元法（BEM）在工程中的应用，它通过内部的温度测量装置对土坝结构内部的渗水速度进行了数值分析。这种设备就像分布式温度感测（DTS）一样众所周知，最近的文章指出，它是用于大型结构（如天然气管道，路堤，公路边坡和大坝）安全监控的有前途的系统。因此，这项工作以前所未有的方式研究了使用DTS间接确定在土坝结构内部水渗透过程中观测到的对流速度的可行性，以便确定可能导致水坝破裂的内部侵蚀问题。结构。为此，我们的数学模型称为D-BEM，使用与时间无关的基本解，并将Monte Carlo方法与BEM结合使用以计算域积分。方程组的解基于高斯消去法，正在验证所提出公式的稳定性。有关使用DTS监测土坝的可行性以及边界元素的完整公式的数值结果在下面给出。