BIQUADRATIC TRANSFORMATIONS AND CONSTRUCTION OF TUNNELS
Currently, there are many ways to design and create a tunnel in different industries. The improvement of such methods for constructing surfaces is an underground structure in which it is an urgent task in the mining industry. The tunnel surface of underground structures is constructed in two ways, such as closed and mountain methods. With the closed method of work, the tunnels are constructed simultaneously at several sites, which reduces the construction time. At all sites from the surface above the axis of the tunnel lay the shaft of the mine and the galleries connect it with the tunnel under construction. And with the mining method, the surface of the tunnels is developed by a drilling and blasting method or a mechanized tool, then a temporary fixation of the forehead and the contour of the mine is immediately performed, and then the tunnel lining is erected. In both methods, it is necessary to design the surface design of the tunnels. Thus, the design of the tunnel surface is a complex curved surface, which must meet the specified requirements, and the tunnel surface design requires a considerable amount of time. The article presents a new method for constructing a tunnel surface in accordance with predetermined conditions using a biquadratic plane transformation, which makes it possible to describe the construction of each tunnel section by one equation.