Identification for fault plane by GPR and study with Kolmogolov entropy theory of nonlinear dynamics
Parameters of a fault may be determined by the ground probing radar, but the data from it can not be processed quantitatively. The Kolmogolov entropy theory of nonlinear dynamics was introduced in this paper to study reflected signals of electromagnetic waves. The maximum Lyapunov exponents from time series mat energy of electromagnetic waves attenuated in front of fault planes are all positive and generally larger man those on fault planes, which states that system is still evolving from soft chaotic state to powerful chaotic state. The Kolmogolov entropies from time series that energy of electromagnetic waves attenuated in front of or on fault planes were calculated. The value of the later is generally larger than that of the former and the increasing degree is even 0.482 percent, which proves that attenuation of electromagnetic waves from shallow to deep rock strata is a typical process of entropy increase. At the same time, chaotic level of system would incline to high. The energy of electromagnetic wave would attenuate with its propagating distance in rock masses which is equal to length of time series. Moreover, capacity of electromagnetic waves to restraint noises would decrease. The confused level of electromagnetic waves would increase obviously if they have been on fault planes at the time. The typical process of entropy increase was verified by this example with anomalous amplitude of electromagnetic waves and its influence to noises. With actual application of the ground probing radar to determine faults, the increase or decrease of entropy with energy attenuation of electromagnetic waves would be a valuable approach to interpret records of the ground probing radar quantitatively.
Chuan-xiao Liu
College of Water Conservancy and Civil Engineering, Shandong Agricultural University, Taian 271018,Shandong Province, China
国际会议
The 5th International Conference on Nonlinear Mechanics(第五届国际非线性力学会议)
上海
英文
1305-1310
2007-06-11（万方平台首次上网日期，不代表论文的发表时间）