A method for solving analytical solution of confined aquifer seepage flow of single well circulation system

Abstract

The invention discloses a method for solving the analytical solution of confined aquifer seepage flow of a single well circulation system, which comprises the following steps of: establishing a mathematical model of the confined aquifer of the single well circulation system; Determining a governing equation of groundwater flow in the confined aquifer mathematical model and a boundary condition inthe confined aquifer mathematical model; Applying a Laplace transform to derive a governing equation of groundwater flow in the confined aquifer mathematical model in the Laplace domain and boundary conditions in the confined aquifer mathematical model in the Laplace domain; obtaining the seepage analytical solution of the confined aquifer mathematical model in the Laplace domain by using the method of separating variables and Fourier series continuation of the boundary condition around the well; and obtaining the seepage analytical solution of the confined aquifer mathematical model in the Laplace domain; using an inverse Laplace transform to obtain an analytical solution of the seepage flow of the confined aquifer mathematical model. The analytical solution of the confined aquifer seepage flow of the single-well circulation system obtained by the invention lays an important foundation for further solving the heat transfer mechanism and the temperature field change of the single-wellcirculation system aquifer.

Description

technical field [0001] The invention relates to the fields of new energy, renewable energy and hydrogeology, in particular to a method for solving an analytical solution of seepage in a confined aquifer of a single well circulation system. Background technique [0002] Geothermal energy is a green, low-carbon, renewable and clean energy. my country is rich in geothermal resources, with huge market potential and broad development prospects. Accelerating the development and utilization of geothermal energy is of great significance to energy structure adjustment, energy conservation and emission reduction, and environmental improvement. It is one of the important ways to solve the current conflict between resources and the environment. Among the current technical classifications of ground source heat pumps for developing geothermal energy, the single well circulation ground source heat pump system is favored for its stable system operation, high efficiency, small footprint, low...

AI Technical Summary

Problems solved by technology

In the single-well circulation system, the heat transfer mode in the aquifer is mainly heat convection, and the groundwater is used as the heat transfer medium, which obtains heat from the surrounding aquifer and the direct contact with the aquifer skeleton, thereby passing through the flow of groundwater However, the flow of groundwater in the confined aquifer is a complex three-dimensional seepage problem. In addition, the complexity of the geological conditions of the aquifer makes the coupling between the seepage field and the temperature field in the single well circulation system more complicated. The solution of the seepage field is an important breakthrough to solve this problem

Because the single well circulation system has not been used for a long time, there are few studies on the seepage analytical solution of the single well circulation system confined aquifer, and only a few researchers have studied and reported it, and the model assumptions and boundary conditions are simple. The depth and breadth of the research are still far from perfect, and the guiding effect on engineering practice is limited

Images