A new theoretical paradigm to describe hysteresis, discrete memory and nonlinear elastic wave propagation in rock
1996
The velocity of sound in rock is a
strong function of pressure, indicating that wave propagation in rocks
is very nonlinear. The quasistatic elastic properties of rocks axe hysteretic, possessing discrete memory. In this paper
a new theory is developed, placing all of these properties (nonlinearity, hysteresis, and memory) on equal footing. The starting point of the new theory is closer to a
microscopic description of a rock than the starting point of the traditional five-constant theory of nonlinear elasticity. However, this starting point (the number density ρ of generic mechanical elements in an abstract space) is deliberately independent of a specific microscopic model. No
prejudice is imposed as to the mechanism causing nonlinear response
in the microscopic mechanical elements. The new theory (1)
relates suitable stress-strain measurements to the number density ρ and (2) uses the number density ρ to find
the behaviour of nonlinear elastic waves. Thus the new theory provides
for the synthesis of the full spectrum of elastic behaviours of
a rock. Early development of the new theory is sketched in this contribution.
Keywords:
- Correction
- Source
- Cite
- Save
- Machine Reading By IdeaReader
0
References
76
Citations
NaN
KQI