Linearized Theory of Acoustic Emission from a Coal Longwall, with Applications

摘要

Applying a simple rheological rock model with elastic-brittle field and assuming small inelastic strains, approximate linearized theory of (seismo)acoustic emission for a longwall with a shearer can be formulated and linear state-space equations can be stated with emission activty or energy as directly observed information carriers. To a first approximation, emission-generating longwall appears then to be a linear system with the product c ·σ(t) · V(t) (where V(t) is the shearer velocity and c · σ(t) is a quantity proportional to the local stress) acting as an input (forcing) function. As the contemporary control systems allow us to observe the V(t), the state-space equations can be sequentially ― according to incoming observations ― solved for c · σ(t) values. The results can be used for local, along the longwall face, estimation of seismic hazard changes.