Research Article
Study on the Mathematical Model and Propagation Characteristics of AE Waveform Signals during Rock Fracture
Table 2
Influential factors for and properties of AE signals during rock fracture.
| | Impact angle | Factor | Composition of influencing factor | Symbolic representation | Impact property |
| | Frequency domain | Fracture behaviour | T (the time it takes for a crack to close, open, or slip) and c (the length of the crack). If the rock is determined, β is a fixed value | S1(t) | Composition of a signal itself | | Heterogeneity | When AE signals pass through the boundary of mineral grains, intergranular reflection or refraction occurs | S2(t) | Signal distortion | | Anisotropy | There are open cracks and sliding, staggered closed cracks that cause the reflection or refraction of AE signals | S3(t) | Signal distortion | | Viscosity | Rock material itself | S4(t) | Signal distortion | | Noise jamming | Signal superposition | S5(t) | Complicated |
| | Time sequence | Rupture behaviour | The energy dissipated during a rupture | +E(S1(t)) | Energy body | | Heterogeneity | The energy carried by reflected or refracted signals | +E(S2(t)) | Energy superposition | | Anisotropy | The energy carried by reflected or refracted signals. The energy decreases when the signal passes through an open crack | ±E(S3(t)) | Energy superposition energy attenuation | | Viscosity | Rock material itself | −E(S4(t)) | Energy attenuation | | Noise jamming | Environmental factors | +E(S5(t)) | Energy superposition |
|
|
