Characteristic Analysis of Two-dimensional Energy Pile Heat Transfer Model based on SVD Decomposition

Abstract This study innovatively introduces the Singular Value Decomposition (SVD) method to deeply analyze the heat transfer characteristics of energy piles, aiming to address the issue of insufficient attention to the complexity of heat transfer within piles in existing research. The results show that the heat transfer within the pile, due to the involvement of different materials and changes in heat sources, has a slower rate of singular value decline, exhibiting higher mode diversity. In contrast, the heat transfer between piles has a faster trend of singular value decline, with relatively simple and stable main heat transfer modes. This study not only verifies the effectiveness of the SVD method in analyzing the heat transfer characteristics of energy piles, but also provides a new perspective for the design and optimization of energy piles. It reveals the significant differences in heat transfer characteristics between within-pile and between-pile, providing a theoretical basis for improving the efficiency and stability of geothermal exchange systems.