基于非傅里叶定律的近场动力学热力耦合模型及花岗岩热损伤破裂模拟  

Non-Fourier law-based peridynamic thermo-mechanical coupling model and simulation of thermal damage and fracture in granite

作　　者：周露明 朱珍德[1,2] 谢兴华[3] 吕茂淋 ZHOU Luming;ZHU Zhende;XIE Xinghua;LÜMaolin(Key Laboratory of Ministry of Education for Geomechanics and Embankment Engineering,Hohai University,Nanjing 210029,China;Jiangsu Research Center for Geotechnical Engineering Technology,Hohai University,Nanjing 210029,China;The National Key Laboratory of Water Disaster Prevention,Nanjing Hydraulic Research Institute,Nanjing 210029,China)

机构地区：[1]河海大学岩土力学与堤坝工程教育部重点实验室,江苏南京210029 [2]河海大学江苏省岩土工程技术工程研究中心,江苏南京210029 [3]南京水利科学研究院水灾害防御全国重点实验室,江苏南京210029

出　　处：《岩土工程学报》2024年第11期2391-2400,共10页Chinese Journal of Geotechnical Engineering

基　　金：国家自然科学基金项目(51878249,41831278)。

摘　　要：研究岩石的热损伤破裂特征对于地热开采等工程具有重要意义。在传统常规态基近场动力学理论框架内,通过引入双相滞后(DPL)模型,提出了基于非傅里叶热传导定律推导得到的热力耦合模型。通过平板瞬态热传导问题及Lac du Bonnet(LdB)花岗岩的热损伤破裂试验对模型进行了验证。分析了温度梯度弛豫时间和热流弛豫时间对岩石热损伤破裂特征的影响。结果表明:近场动力学热力耦合模型模拟结果很好地反映了LdB花岗岩的热损伤破裂特征及温度分布的不连续性;温度梯度弛豫时间对热传导起促进作用,试件热损伤破裂程度随温度梯度弛豫时间的增加而增大,随热流弛豫时间的增加而减小。研究为深入理解岩石的热损伤破裂行为、优化地热能开采工程提供了有益的探索。It is of great significance to study the thermal damage and fracture characteristics of rocks for deep rock projects,such as geothermal exploitation.Within the framework of the traditional classical ordinary state-based peridynamic theory,a thermo-mechanical coupling model based on the non-Fourier heat conduction law is proposed by introducing a dual-phase-lag model.The model is validated through the transient heat conduction problems in the plate and thermal damage and fracture tests on LdB granite.It is found that the simulated results accurately reflect the thermal damage and fracture characteristics,as well as the discontinuity in temperature distribution,of LdB granite.Furthermore,through numerical analysis,it is observed that the temperature gradient relaxation time promotes heat conduction,leading to an increase in the degree of the thermal damage and fracture with an increase in the temperature gradient relaxation time,while it decreases with an increase in the heat flux relaxation time.This research provides valuable insights for a better understanding of the thermal damage and fracture behavior of rocks and offers beneficial explorations for optimizing the geothermal energy extraction projects.

关 键 词：花岗岩 近场动力学 热损伤破裂 热力耦合 热弛豫时间 

分 类 号：TU45[建筑科学—岩土工程]