## Journal of Central South University

 第51卷    第2期    总第306期    2020年2月

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(北京交通大学 土木建筑工程学院，北京，100044)

Temporal semi-analytical method for water flow and heat transfer in fractured rocks

School of Civil Engineering, Beijing Jiaotong University, Beijing 100044, China

Abstract:In view of the water flow and heat transfer in fractured-rock matrix, a temporal semi-analytical method was proposed. First, a boundary integral equation of rock temperature in spatial-temporal domain was established by using the fundamental solution of the three-dimensional heat conduction, and then the equation was simplified into a spatial domain equation by implementing convolution integral over time. Then, linear algebraic equations were formulated by combining the finite element equation of thermal convection in fracture water and previous boundary integral equation of rock temperature. Finally, the temperature of fracture water and rock matrix was solved by manipulating an iterative calculation. A numerical example of water flow and heat transfer in a nuclear waste repository was provided to verify the effectiveness of the proposed method. The results show that compared with the existing Laplace transformation semi-analytical method, the poroposed method in the paper is simpler and more accurate, and applicable to heat transfer problems of fractured-rock matrix with multiple parallel fractures distributed. The fracture water transfers the heat that is emitted from nuclear waste downstream, which contributes to the decline of repository temperature.

Key words: fractured rock; saturated seepage; three dimensional heat transfer; temporal semi analytical method 中南大学学报（自然科学版） ISSN 1672-7207 CN 43-1426/NZDXZAC 中南大学学报（英文版） ISSN 2095-2899 CN 43-1516/TBJCSTFT