Method and device for detecting underground water non-Darcy flow field in single-well circulating geothermal system

Abstract

The invention provides a method and device for detecting an underground water non-Darcy flow field in a single-well circulating geothermal system. The method comprises the following steps of: establishing a mathematical model, establishing a control equation, determining an initial condition of the control equation, and establishing a boundary condition of the control equation; processing a nonlinear term in the control equation by using an approximation method, and performing Laplace transformation on the control equation, the initial condition and the boundary condition to obtain a transformed control equation, a transformed initial condition and a transformed boundary condition; performing finite Fourier cosine transformation on the transformed control equation, the transformed initialcondition and the transformed boundary condition to obtain a transformed partial differential equation; solving the transformed partial differential equation, and performing inverse Laplace transformation to obtain an analytical solution of underground water non-Darcy flow of a single-well circulating shallow geothermal system in a Laplace domain; and solving a solution in a time domain corresponding to the analytical solution by using a Stehfest numerical inversion method to detect the depth-reducing distribution of the underground water non-Darcy flow field.

Description

technical field [0001] One or more embodiments of this specification relate to the technical fields of new energy, renewable energy and hydrogeology, and in particular to a method and device for detecting groundwater non-Darcy flow field in a single-well circulating geothermal system. Background technique [0002] As a renewable energy, geothermal energy has the advantages of cleanness, safety, and large reserves. More importantly, compared with renewable clean energy such as wind energy, solar energy, and tidal energy, the continuous and stable supply of geothermal energy has advantages over other renewable energy sources. incomparable. At present, shallow geothermal energy is widely used in heating. It has the advantages of simple development and utilization, good economy, and stable system. With the continuous development and improvement of geothermal heating system, it will occupy an important position in my country's heating market. [0003] As a new technology for hea...

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Problems solved by technology

However, the inventors found that the current problems of groundwater flow in single-well circulating shallow geothermal systems are mainly focused on Darcy flow, and there are basically no studies on non-Darcy flow.

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