Safety conditioning technology for mining region's environmental system based on Catastrophe Theory

Abstract

The safety of mining region's environmental system is a basic prerequisite of the sustainable development of mining region's economy and society. The maintenance of mining region's environmental system safety by taking effective measures has great significance for mining regions in China function as residential community. One of the major problems facing mining region's sustainable development is how to keep the safety of mining region's environmental system. This paper constructs a Cusp Catastrophe Model for mining region's environmental safety applying Catastrophe Theory. Beneficial factors and restricted factors affecting environmental system safety are used as control parameters, while the state of environmental system safety serves as state variable in the model construction process. The Catastrophe development rule of mining region's environmental system safety is analyzed based on Cusp Catastrophe Model's bifurcation set equation, Δ = 8u <sup xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">3</sup> + 27v <sup xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">2</sup> . Some methods of conditioning mining region's environmental system safety are also put forward.