Fractal properties of breakdowns

Fujimori, S.

doi:10.1109/icpadm.1988.38447

Cited by 4 publications

(1 citation statement)

References 3 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Burki et al [ 20 ] performed simulations of electrical pulses on solid materials and discovered that the depth of the plasma channel generated in rocks is typically one-third of the electrode spacing. L. Niemeyer and Wiesmann proposed a dielectric breakdown model (DBM) that introduced the concepts of threshold field strength, Ec, and falling field strength, Ed, inside the channel, while describing EBP in terms of both electric field strength factor and electric breakdown stochastic factor using an electric tree fractal theory model [ 30 , 31 ]. However, they did not consider the case of changing conductivity and continuous increase in energy release.…”

Section: Introductionmentioning

confidence: 99%

The Utilization of a Coupled Electro-Thermal-Mechanical Model of High-Voltage Electric Pulse on Rock Fracture

et al. 2023

View full text Add to dashboard Cite

Our research proposes a unique coupled electro-thermal-mechanical model that takes electric breakdown and heterogeneity into account to show the mechanism of rock fracturing under high-voltage electropulses. Using finite element numerical software, the process of high voltage electrical pulse injection into the rock interior for breakdown is described, and the formation law of plasma channels during the electrical breakdown process is comprehensively analyzed in conjunction with the conductor particles present within the rock. On the basis of electrical, thermal, and mechanical theories, a coupled multi-physical field numerical model of rock failure under the action of high-voltage electrical pulses is developed, and a random distribution model is utilized to simulate the potential occurrence of conductor particles in the rock. Innovative numerical model indicates plasma channel creation in the rock-crushing process. Prior to the formation of the plasma channel, the temperature and stress are approximately 103 k and 10−2 MPa, respectively. Once the plasma channel is formed, the temperature and stress increase abruptly in a short time, with the temperature reaching 104 k and the stress reaching 103 MPa or higher. In addition, it is revealed that the breakdown field strength is the essential factor in plasma channel creation. The heterogeneity of the particles within the rock and the fluctuation in electrode settings are also significant variables influencing the creation of channels. The presented model contributes to a better understanding of the mechanism of rock fragmentation during high-voltage electrical pulses, which has substantial implications for oil exploration and mineral extraction.

show abstract

Section: Introductionmentioning

confidence: 99%

The Utilization of a Coupled Electro-Thermal-Mechanical Model of High-Voltage Electric Pulse on Rock Fracture

et al. 2023

View full text Add to dashboard Cite

show abstract

Fractal analysis of electrical trees

Kudo

1998

IEEE Trans. Dielect. Electr. Insul.

121

View full text Add to dashboard Cite

Fractal analysis of tree figures

Fujimori

[1991] Proceedings of the 3rd International Conference on Properties and Applications of Dielectric Materials

View full text Add to dashboard Cite

In this paper, two calculation methods of fractal dimensions, cover method and the method of gyration radius are discussed. The cover method was app l i c a b l e t o both t r e e -t y p e t r e e p a t t e r n s a n d aegagropila-type tree patterns. The method of gyration radius was also applicable to aegagropila-type patterns but those fractal dimensions took a little bit different values depending on how the center of gyration radius was put in the pattern. This method, further, was not much applicable to our examined treetype tree patterns.In our work the multifractal dimension, which is a more extended dimension including usual fractal dimension, information dimension, etc., of tree-type tree patterns is also discussed. The dimensions are calculated by the cover method.The multifractal dimension Dq of the tree-type tree patterns was gradually increases from 0.6 to 1.84 on the average when the moment order q increased from -4 to 8 though the d i m e n s i o n g e n e r a l l y decreases depending on the moment order. The increasing rate of Dq was largest nearly at the moment order of -2 . 5 , and less at other moment order. Furthermore, f(a) curve had almost opposite property comparing with generally obtained property.

show abstract

Fractal properties of breakdowns

Cited by 4 publications

References 3 publications

The Utilization of a Coupled Electro-Thermal-Mechanical Model of High-Voltage Electric Pulse on Rock Fracture

The Utilization of a Coupled Electro-Thermal-Mechanical Model of High-Voltage Electric Pulse on Rock Fracture

Fractal analysis of electrical trees

Fractal analysis of tree figures

Contact Info

Product

Resources

About