Taking geometric symmetry and the approximately same periodic variation of the temperature field around partial buried pipes into account

simplified analysis of heat transfer for vertical multi-boreholes ground heat exchangers was carried out. On the basis of finite line heat source model

an example of non-seepage matrix layout of vertical multi-boreholes ground heat exchangers was selected to simplify the analysis of heat transfer. For the purpose of simplification on heat transfer analysis

representative buried pipe matrix (RBPM) was proposed in place of the original vertical multi-boreholes ground heat exchangers. Through the analysis on heat transfer of a single buried pipe and RBMP

it was considered that the heat transfer of RBPM can be determined according to the influencing radius of heat transfer of a single buried pipe under the same conditions of the geological conditions

geometry parameters

loads and operation conditions. Thermal conductivity of soil affects the scale of RBPM. Under the conditions in this article

the larger thermal conductivity of the soil is

the smaller scale of RBPM is.