Characteristics analysis of electrohydraulic shockwave
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摘要:
基于相应的数学模型来表征液电脉冲激波的产生和传播过程，搭建了液电式碎岩综合试验平台，分析了典型的激波特性的仿真和实测结果。给出了不同充电电压下液电脉冲激波特性的仿真结果，并分析了充电电压对激波特性的影响。结果表明：充电电压为11 kV时，激波的压力峰值为2.67 MPa，激波能量为27.30 J，波前时间为2.16 μs，激波加载速率为1.24 MPa/μs，电能转化为激波能量的效率为13.35%；提高电容充电电压，激波压力峰值和激波能量增大，波前时间减少，激波加载速率增加，但电能转化为激波能量的效率降低。利用建模分析的方法，可以根据放电回路参数预测液电脉冲激波特性，从而为进一步研究激波破碎岩石的形态和效果提供理论依据。
Abstract:Characteristics of electrohydraulic shockwave are the keys to the application of electrohydraulic disintegration of rocks (EHDR). Mathematical models are used to characterize the generation and propagation of the shockwave, an integrated experimental platform is established, the measured and simulated results of typical shockwave characteristics are analyzed. The simulated results of characteristics of shockwaves under different charge voltage are given, and the influence of charge voltage on the shockwave characteristics are analyzed. The results show that the peak pressure and energy of shockwave is 2.67 MPa and 27.30 J respectively, the wave front time is 2.16 μs, the loading rate is 1.24 MPa/μs, when the charge voltage is 11 kV. The peak value and energy of shockwaves increase, the wave front time decreases, the loading rate of shockwaves increases, while the efficiency of electrical energy transfer into shockwave energy decreases, when the charge voltage of capacitor rises. Characteristics of shockwaves can be predicted from the parameters of discharge circuit via simulation, thus to provide theoretical basis for further study on the morphology and effect of EHDR.
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图 1 液电式碎岩试验平台示意图
Figure 1. Schematic of experimental platform for electrohydraulic disintegration of rocks（EHDR）
图 2 高速相机拍摄的等离子体通道图像和其圆柱形膨胀模型示意图
Figure 2. Image of the discharge plasma channel captured by high speed camera and the schematic of cylindrical expansion model
图 4 水中高压脉冲放电典型过程
Figure 4. Typical process of underwater high voltage pulsed discharge
图 5 典型的激波波形的实测和仿真结果（UC＝15 kV，l＝10 mm）
Figure 5. Measured and simulated shockwave pressure (UC＝15 kV, l＝10 mm)
图 6 不同充电电压下等离子体通道电阻和量特性的仿真结果
Figure 6. Simulation results of plasma channel resistance and energy characteristic under different charge voltage
图 7 等离子体通道平均电阻、通道沉积能量、激波能量和能量效率随充电电压的变化趋势
Figure 7. Variation trend of average plasma channel resistance (Rch), deposited energy (Ech), shockwave energy (Esw) and energy efficiency (ηsw) under different charge voltage
图 8 不同充电电压下激波仿真波形和激波特性随充电电压的变化趋势
Figure 8. Simulated waveforms of shockwave under different charge voltage and variation trend of shockwave characteristics
表 1 典型激波特性实测与仿真结果
Table 1. Measured and simulated results of typical shockwave characteristics
shockwave characteristics Ppeak / MPa tr /μs v / (MPa/μs) Esw/ J measurement 3.29 2.71 1.21 40.04 simulation 3.31 1.74 1.90 42.46 
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