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Article

Discharge Experiment and Structure Optimisation Simulation of Impulse Sound Source

1
College of Petroleum Engineering, Xi’an Shiyou University, Xi’an 710065, China
2
National Engineering Laboratory for Oil and Gas Drilling Technology, Xi’an Shiyou University, Xi’an 710065, China
*
Author to whom correspondence should be addressed.
Energies 2024, 17(18), 4565; https://doi.org/10.3390/en17184565
Submission received: 25 July 2024 / Revised: 29 August 2024 / Accepted: 4 September 2024 / Published: 12 September 2024
(This article belongs to the Section H: Geo-Energy)

Abstract

:
The wave frequency and energy of traditional piezoelectric emission sources used in acoustic logging are limited, which results in an inadequate detection resolution for measuring small-scale geological formations. Additionally, the propagation of these waves in formations is prone to loss and noise interference, restricting detection to only a few tens of meters around the well. This paper investigates an impulse sound source, a new emission source that can effectively enhance the frequency range and wave energy of traditional sources by generating excitation waves through high-voltage discharges in a fluid-penetrated electrode structure. Firstly, a high-voltage circuit experimental system for the impulse sound source was constructed, and the discharge and response characteristics were experimentally analyzed. Then, four types of needle series electrode structure models were developed to investigate and compare the effects of different electrode structures on the impulse sound source, with the needle-ring electrode demonstrating superior performance. Finally, the needle-ring electrode structure was optimized to develop a ball-tipped needle-ring electrode, which is more suitable for acoustic logging. The results show that the electrode structure directly influences the discharge characteristics of the impulse sound source. After comparison and optimization, the final ball-tipped needle-ring electrode exhibited a broader frequency range—from zero to several hundred thousand Hz—while maintaining a high acoustic amplitude. It has the capability to detect geological areas beyond 100 m and is effective for evaluating micro-fractures and small fracture blocks near wells that require high detection accuracy. This is of significant importance in oil, gas, new energy, and other drilling fields.

1. Introduction

Acoustic logging is a widely used logging technique. The acoustic field data recorded by acoustic logging can be used to obtain formation parameters [1], to evaluate cementing quality [2], and to obtain the acoustic field response of structures adjacent to the wellbore. This allows the properties and extent of formation interfaces, fractures, and other reservoir spaces to be determined, facilitating the exploration of oil, gas, and mineral resources [3,4]. In recent years, the focus of oil and gas field exploration and its development has gradually shifted to finding unconventional, small, and potential oil and gas resources. The development of acoustic logging tools with high accuracy and long detection ranges has become a key issue.
The detection accuracy and depth of acoustic logging are related to the amplitude and frequency of the transmitting sound source. The greater the amplitude and the lower the frequency of the transmitting sound source, the greater the detection depth—conversely, the greater the amplitude and the higher the frequency, the greater the detection accuracy. Currently, the mainstream emitted sound source is a piezoelectric transducer. Many scholars have invested in the research of bandwidth optimization and amplitude optimization of piezoelectric transducers. Recent advances in piezoelectric materials (e.g., lead zirconate titanate (PZT) and composites) [5,6] and piezoelectric actuator design [7] have led to the improved frequency stability and bandwidth of transducers, resulting in improved logging performance.
In the field of acoustic logging, commonly used transmitting sound sources include unipolar transducers, dipole transducers, phased-array transducers, and multipole transducers, with a frequency distribution of 0–25 kHz and a detection area of several tens of meters [8,9].
Monopole transducers are not source-directed, have a frequency range of 10 kHz–20 kHz, and the detection range is typically within a dozen meters [10,11]. The dipole transducer has a frequency range of 0.5 kHz–5 kHz, a detection range of up to tens of meters, and a directional acoustic field that is axisymmetric with a 180° uncertainty in the azimuthal description [12,13]. Multipole transducers are capable of acquiring unipolar, dipole, and quadrupole sound field data. The frequency range is 15 kHz–25 kHz [14,15] and generally captures ground wave information over a regional area of tens of meters around the borehole. The directivity of the quadrupole sound field excited by a quadrupole source is generally left–right symmetric [16]. The wave amplitude of the quadrupole source is low, and the useful information data of the formation are sometimes disturbed and covered by noise, which affects normal measurements and drilling [17,18]. Circumferential measurements with phased-array transducers are achieved by arranging multiple point sound sources in a specific pattern and applying different excitation information to each point sound source as needed, thereby achieving directional excitation and detection [19]. The China University of Petroleum, in collaboration with the logging company CNPC, has developed directional detection instruments based on phased-array transducers. These instruments have detection ranges of up to 10 m in liquid media and 40 m in solid formations [20,21]. When performing circumferential measurements with phased-array transducers, the initial excitation and energy transmission outside the well are limited. The frequency is mainly around 14 kHz, and the detection range is about tens of meters [22].
With the technological update and iteration of the transmitting sound source, the accuracy and application range of acoustic wave transmission measurements in subsurface structures have been gradually improved, and the detection range has been extended from a few meters to tens of meters. However, due to the limitations of the frequency band and wave amplitude, it is still unable to guide the identification of tiny cracks in near-well zones, the connectivity of long-distance relief wells, the detection of stratigraphic boundaries in far-well zones, and so on. Impulse sources have significant advantages over other sources for geological surveys of areas close to the borehole and in front of the drill bit. The higher amplitude and wider frequency band provide high accuracy and a wide detection range for subsurface exploration. Impulse sound sources use high-voltage circuits to provide energy and transmit it to electrodes, causing shock wave discharge in the liquid and generating a strong acoustic pulse response. This shock wave has greater amplitude and more abundant energy. When combined with a reflective focusing cover, it can achieve sound source directionality [23], and its frequency range is broad, reaching from 0 Hz to 100 kHz.
The electrode structure is the carrier and core of the impulse sound source responding to the discharge process. It is also the transducer that converts electrical energy into acoustic energy, which directly affects the wave amplitude and frequency band characteristics of the acoustic wave and then affects the range and accuracy of the impulse sound source for detecting geological formations next to the well. Firstly, we designed and set up a high-voltage circuit experimental system for the impulse sound source. Then, we investigated the electrode characteristics of the impulse sound source through experiments and numerical simulations. We then compared it to various electrode structures to find an electrode structure that can produce more energy, has a wide frequency band, small size, and can be mounted on the drill collar, which can further provide a reference basis for the research of the impulse sound source and provide realistic bases for the design of the sound source of the acoustic wave sounding instrument that is used for deeper and more accurate sounding along with the drilling.

2. Experiment

2.1. Principle

A high-voltage experimental platform for impulse sound sources was constructed, which can provide a working environment for impulse sound sources and measure their performance in real time. Figure 1 shows the working circuit diagram of the high-voltage experimental platform for the impulse sound source. It mainly consists of a high-voltage power supply module, a high-voltage energy consumption module, and a data monitoring module.
Figure 2 shows the high-voltage power supply module, which includes a voltage regulator, booster, current limiting resistor, silicon stack, and high-voltage capacitor. The 220 V AC voltage is connected and then boosted to several kilovolts by the voltage regulator and booster, then rectified to DC to feed the capacitor directly. When the voltage across the capacitor reaches 20 kV, the voltage regulator is switched off, completing the energy storage process.
The high-voltage energy consumption module includes a high-voltage capacitor, a high-voltage discharge switch, and a discharge load. When the trigger control switch is closed, the capacitor releases a large amount of energy, which is then transferred to and applied to the discharge load immersed in tap water. The discharge load was set up with a needle-bar electrode structure, as shown in Figure 3, and its geometrical parameters are shown in Table 1. The needle-bar electrode is cast in an insulated material and contained in a stainless-steel cylinder, which is made of two parts and connected by three stainless-steel supports. As shown in Figure 4, during the high-voltage pulse shock wave discharge of the needle-bar electrode in water, the discharge process can be roughly divided into three stages: pre-breakdown stage, during-breakdown stage, and post-breakdown stage. The pre-breakdown stage is the initial phase of the needle-bar electrode shock wave discharge. In this phase, the needle-bar electrode gradually generates streamers under the influence of high-voltage energy. These streamers expand and grow with a continuous energy supply, entering the breakdown stage. Then, the streamers from the needle electrode and the bar electrode meet to form a conductive channel, leading to a breakdown. In the post-breakdown stage, the high-temperature, high-pressure conductive channel expands, generating shock waves due to the incompressibility of the surrounding liquid water medium.
The data monitoring module performs the real-time monitoring and acquisition of the entire shock wave discharge process. The shock wave discharge voltage is captured by the high-voltage probe P6015A (Tektronix, Beaverton, OR, USA). The shock wave discharge current is detected by the current probe CWT300B (Power Electronic Measurements Ltd., Long Eaton, UK). The pressure probe 138A01 (PCB Piezotronics, Buffalo, NY, USA) is fixed in the tap water tank, oriented horizontally and parallel to the discharge center of the needle-bar electrode, allowing it to measure the transient pulse shock pressure wave generated by the high-voltage discharge process. The voltage and current at both ends of the electrode, as well as the pulse shock pressure wave, are recorded by the oscilloscope to capture the waveforms and store the data.

2.2. Results

The voltage and current waveforms measured across the electrodes during discharge, as captured by the oscilloscope, are shown in Figure 5. The pre-breakdown stage of the shockwave discharge process for the needle-bar electrode is indicated as 1 in Figure 5, with a duration of 0.19 ms and a breakdown voltage of 18.5 kV. During the breakdown and post-breakdown stages, accompanied by strong shockwave discharge, the voltage across the electrodes drops rapidly in the region marked as 2 in Figure 5, while the current rises sharply, peaking at 25.8 kA. Subsequently, the current across the electrodes decays through circuit oscillations until the amplitude reaches zero.
During the post-breakdown stage, a connecting channel forms in the gap between the needle and bar electrodes, which diffuses and emits a strong shockwave. The actual shockwave pressure value is related to the voltage measured by the oscilloscope according to the conversion relationship shown in Equation (1).
P = Ue/a (Pa)
where Ue is the voltage value measured by the oscilloscope; a is the sensitivity of the pressure sensor; P is the actual pressure value of the shockwave. The pressure–time curve of the shockwave is shown in Figure 6.
From Figure 6, it can be seen that the peak pressure of the needle-bar electrode shock wave discharge is 14.02 MPa. Moreover, it can maintain a high intensity for an extended period of time.

3. Comparison

The impulse sound source has a strong amplitude, is controllable, has a wide bandwidth, and has directivity performance. It is a good solution to the current use of traditional sound source logging. However, there are two problems: firstly, the detection outside the well is not deep; secondly, the accuracy is not high. The impulsive sound source electrode structure is different, and the drilling impulsive sound source generates impulsive wave characteristics that are different. Therefore, it is necessary to study the characteristics of the electrode structure in depth, from which we can find an electrode structure with a high amplitude, wide frequency band, and small volume that can be applied to the drill collar and used as a reference in the design of a sound source for drilling acoustic sound wave detection instruments. The needle electrode has a simple structure and a size suitable for the narrow spaces of downhole instruments, and it offers high electro-acoustic energy conversion efficiency. It is widely used by researchers to study discharge phenomena and mechanisms in underwater pulse discharges [24,25]. Based on the cylindrical channel theory, simulations were conducted on four types of needle electrodes to investigate the amplitude of the shockwave at the moment of plasma discharge breakdown in water.

3.1. Theory

When the electrode breaks down, a cylindrical connecting channel is formed between the electrodes. Assuming the channel is an ideal gas, the shockwave pressure can be described using the gas equation [26]:
P = n k T μ 0 i 2 8 π 2 R e 2 32 π 2 ε 0 ( 4 π n 3 ) 4 / 3
where n, k, and ε 0 are constants; T is the column channel temperature; μ 0 generally takes the value of 4π × 10−7 H/m; i is the column channel current; R is the column channel resistance; and e is the unit charge electricity.
The strength of the shockwave can be expressed by taking the logarithm of its effective value:
S P L = 20 lg P P e
The high-voltage supply releases the energy stored in the capacitor:
E = 1 2 C U 0 2
where C is the capacitance, and U0 is the supply voltage.
The shockwave generates intense energy, which can be expressed as follows [27]:
E S = 4 π d 2 ρ C 0 0 T p ( t ) 2 d t = 4 π d M 2 ρ C 0 0 t U ( t ) 2 d t
where ρ is the density of water; C0 is the speed of sound in water; p ( t ) is the shockwave pressure; M is the sensitivity of the hydrophone; and U(t) is the voltage signal of the hydrophone.
The efficiency of the impulse sound source in converting from electrical energy to acoustic energy is
η = E s E

3.2. Conditions

For simulation purposes, the overall circuit of the electrode high-voltage circuit experiment was simplified to an equivalent circuit, as shown in Figure 7, where the electrode was placed in the center of a rectangular liquid-filled box with a side length of 35 cm. The box was filled with tap water, the initial temperature of the water was 293.15 K, and the relative dielectric constant of the water was 81. The rated capacitance of the energy storage capacitor was C = 15 μF, the two ends of the electrodes were connected to the output end of the circuit, and the voltage at the two ends of the capacitor was set to 20 kV. All of the set parameters were consistent with the parameters of the previous experimental section, as shown in Table 2. The values of the external circuit resistance and inductance in the equivalent circuit can be calculated based on the current waveforms of the experiments in the previous section [28]. The inductance value is calculated using Equation (7), and the external circuit resistance is calculated using Equation (8).
Ω = 1 / L C = 2 π T 1
I P P 1 I P P 2 = e R T 1 4 L
where I P P 1 , I P P 2 , and T 1 are the first peak value, the second peak value, and the period value of the current waveform at both ends of the measured needle-bar electrodes for one cycle; the value of L was calculated to be 8.18 μH; the value of R was calculated to be 0.22 Ω.

3.3. Validation

A structural simulation model of the needle-bar electrode of the impulse sound source with geometrical parameters consistent with the experiment was constructed using finite element software, as shown in Figure 8. The needle-bar electrode is located in a square tank, and the external circuit is set up as an impulse sound source discharge circuit equivalent to that of the experiment. To simulate the needle-bar electrode, a charging voltage of 20 kV was applied to the external circuit to induce the breakdown of the needle-bar electrode, and the voltage and current waveforms of the electrode in the pre-breakdown stage, the current waveforms in the post-breakdown stage, and the amplitude-time diagrams of the impulse waveforms of this electrode were obtained, as shown in Figure 9.
Table 3 shows the parameters of the high-voltage experimental and simulation results for the needle-bar electrode. It can be observed that the simulation results are generally consistent with the experimental results, demonstrating the feasibility of the electrode simulation model and method.
In Table 3, the experimental and simulation results are generally consistent, but there are still minor deviations. The simulation set all parameters to ideal states, but the experiment cannot guarantee them completely. For example, (1) the tap water used in the experiment was laboratory firewater, which may have slight differences in liquid discharge characteristics compared to regular tap water, and (2) the repeated use of experimental devices may have caused wear and tear.

3.4. Modeling

Simulation models of the needle-ball electrode, needle-needle electrode, and needle-ring electrode structures were constructed. Apart from the different electrode structures, the rest of the parameters are kept the same. The circuit parameters are the same as the experiments in the previous section; the electrodes are all located in the water tank, and the external circuit is set up as an impulse sound source discharge circuit equivalent to the experiments.

3.4.1. Needle-Ball Electrode

The geometry of the constructed needle-ball electrode is shown in Figure 10, and the specific parameters of its dimensions are shown in Table 4.

3.4.2. Needle-Needle Electrode

The geometry of the constructed needle-needle electrode is shown in Figure 11, and the specific parameters of its dimensions are shown in Table 5.

3.4.3. Needle-Ring Electrode

The geometry of the constructed needle-ring electrode is shown in Figure 12, and the specific parameters of its dimensions are shown in Table 6.

3.5. Option

As shown in Table 7, the pre-breakdown time, breakdown voltage, maximum discharge current, and impulse wave amplitude of several electrode structures were obtained after the experimental and simulation model calculations for the needle-bar electrode, needle-ball electrode, needle-needle electrode, and needle-ring electrode. The electro-acoustic efficiency was calculated by applying Equations (4)–(6). From Table 7, it can be seen that the electrode structure, as the discharge load of the impulse sound source, can directly affect the performance of the impulse sound source. The needle-ring electrode has a shorter pre-breakdown time, higher breakdown voltage, higher discharge current, stronger impulse wave amplitude, and higher electro-acoustic conversion efficiency.
The impulse wave amplitude of the needle-bar electrode, needle-ball electrode, needle-needle electrode, and needle-ring electrode can be converted into a sound pressure level using Equation (3). The FFT transform of the result can be used to obtain the sound pressure level–frequency diagrams of different electrode structures, as shown in Figure 13. From Figure 13, it can be seen that the frequencies of the impulsive waves generated by the four needle series electrode structures are similar. The needle-ring electrode is the highest, with an excellent performance in the range of 0 to 100 kHz, with a sound pressure level of more than 230 dB, indicating that the needle-ring electrode has the amplitude-frequency characteristics of a wide bandwidth and high amplitude.
In the needle series electrode structure, the amplitude of the impulse wave of the needle-ring electrode is higher, has a greater electro-acoustic conversion efficiency, and has the characteristics of a wide bandwidth and high amplitude, with a frequency band range of 0–100 kHz, which is more suitable for acoustic logging while drilling.

4. Discussion

4.1. Optimization

Considering the large radius of curvature of the ball electrode, which results in a significantly non-uniform electric field and denser space charge, we optimized the needle-ring electrode structure by incorporating the ball electrode. As shown in Figure 14, we constructed a model of the ball-tipped needle-ring electrode. Specifically, a sphere was added to the tip of the needle’s electrode in the needle-ring electrode to form the ball-tipped needle-ring electrode. The specific geometric parameters are given in Table 8.
The same external circuit conditions as the experimental parameters were used to simulate the ball-tipped needle-ring electrode. As shown in Table 9, the performance parameters of the ball-tipped needle-ring electrode and the needle-ring electrode are compared. Due to the addition of a ball at the tip of the pair of needle electrodes, the inhomogeneous electric field generated at the tip increases, accelerating the heating rate and making it easier to form a connecting channel between the electrodes; thus, the pre-breakdown time of the ball-tipped needle-ring electrode is shorter than that of the needle-ring electrode. The shorter the pre-breakdown time, the higher the corresponding breakdown voltage, and the higher the impulse wave amplitude can be obtained. At the same time, the optimized electro-acoustic conversion efficiency is increased.
The amplitudes of the impulse wave at the ball-tipped needle-ring electrode and the needle-ring electrode were converted to the sound pressure level using Equation (3), followed by an FFT transform. The sound pressure level–frequency diagram is plotted as shown in Figure 15. When the frequency is constant, the impulse sound pressure level of the ball-tipped needle-ring electrode is greater than that of the needle-ring electrode. The sound pressure level is more than 240 dB from 0 to 100 kHz. The optimization effect of the ball-tipped needle-ring electrode is obvious. Using the ball-tipped needle-ring electrode structure as the discharge load of the impulse sound source can more effectively improve the performance of the impulse sound source so that it has the ability of long-distance and high-precision detection, which, in turn, improves the effect of its drilling acoustic wave logging application.

4.2. Prospects

The optimized ball-tipped needle-ring electrode is used as the discharge load of the impulse sound source, which can release strong amplitude impulse waves and still maintain high sound pressure in the frequency band of 0–100 kHz, and it can play an important role in the detection of the geological body in front of the drill bit during drilling. Table 10 summarizes and compares the transmitting and impulse sources of conventional acoustic logging in recent years.
Monopole transducers, dipole transducers, phased-array transducers, and multipole transducers have their own advantages and disadvantages in terms of the sound source frequency band, acoustic amplitude, spatial size limitation, sound source directivity, detection distance, and detection accuracy; however, it is not possible to combine them. The impulse sound source equipped with a ball-tipped needle-ring electrode can release strong energy. The frequency can be selected from 0 to 100 kHz according to the detection requirements. When describing small geological bodies in the near-well zone, high-frequency excitation can be selected, which provides higher accuracy. When detecting large geological bodies in the far-well zone, low-frequency excitation can be selected, which has a longer detection distance. Moreover, the ball-tipped needle-ring electrode is tiny, which is suitable for the narrow space and operation of the downhole instrument. Therefore, the impulse sound source has advantages and feasibility as the transmitting sound source of drilling acoustic logging.
However, the impulse source is currently in the experimental and basic research stage, and there is no commercial instrumentation yet. More theoretical basic research, physical experimental research, mathematical modeling analysis, and practical well-field applications are needed for the impulse sound source.
The main aspects are as follows:
(1)
Electro-acoustic characteristics of the impulsive sound source: A study of the influence of external circuit parameters (such as charging voltage and storage capacity) and the downhole working environment (such as dielectric conductivity, high temperatures, and high hydrostatic pressure downhole) on the electro-acoustic characteristics of the sound source.
(2)
Investigation of the directivity of the sound source: The impulse sound source can be equipped with a reflector to achieve directional energy concentration emission. Numerical simulation and evaluation experiments are required to assess the effect of the reflector on energy collection.
(3)
Orthogonal evolution of borehole geology during drilling: The study of the influence law of geological body size, distance, angular position, reservoir type, and other parameters on the acoustic field and detection ability of the borehole to lay the foundation for the subsequent engineering problems of logging while drilling using the impulse sound source.
(4)
Inversion of borehole geology while drilling: Acoustic data reception and processing. It is necessary to intercept the appropriate received data window according to the detection distance and the size of the emission frequency of the sound source.
(5)
Harsh downhole working environment: The downhole must be tested at high temperatures (175 degrees Celsius) and high pressures (100 MPa) and is equipped with high-temperature- and high-pressure-resistant components. To ensure acoustic transmission efficiency and signal stability, it is necessary to improve the signal-to-noise ratio and configure the appropriate directional beam energy and frequency according to the detection requirements to achieve downhole detection without destroying the borehole.

5. Conclusions

Based on the traditional acoustic logging sound source, we introduced the impulse sound source as the emission sound source for drilling acoustic logging. A high-voltage experimental platform was constructed to evaluate the impulse sound source, and the sound source characteristics were obtained using a needle-bar electrode as the discharge load. Through numerical simulation, an electrode structure suitable for drilling acoustic logging was selected from four types of needle series electrodes, and the preferred electrode structure was further improved and optimized. The prospects and feasibility of the impulse sound source were analyzed, and recommendations were made for future work and applications. The main conclusions are as follows:
(1)
Conventional mainstream transmitting sound sources, including monopole transducers, dipole transducers, phased-array transducers, and multipole transducers, have frequencies below 25 kHz and limited wave amplitudes, which cannot meet the future requirements of high-precision and long detection ranges in a well.
(2)
The electrode structure, as the discharge load of the impulse sound source, can directly affect the performance of the impulse sound source. Through experiments and numerical simulations, it was obtained that among the needle series electrode structures, the intensity of the impulsive wave of the needle-ring electrode is higher, up to 20.73 MPa, and the electro-acoustic conversion efficiency is larger, which is more suitable for acoustic logging with drilling, as it possesses the characteristics of a wide bandwidth and high amplitude at the same time.
(3)
The upgraded and optimized ball-tipped needle-ring electrode further improves the electro-acoustic performance. The intensity of the impulse wave was raised to 21.2 MPa and still maintained a high sound pressure in the frequency band of 0–100 kHz. The impulse acoustic source has the ability to detect geological areas of up to 100 meters away and is beneficial for the effective evaluation of micro-fractures and small fracture blocks adjacent to wells where high detection accuracy is required, which is of great importance in oil, gas, and new energy drilling.
(4)
The impulse sound source has advantages and feasibility as a transmitting sound source for drilling acoustic logging. However, the impulse sound source is currently in its experimental and basic research stage, and there is no commercialized instrument. To develop the impulse sound source, it is necessary to conduct theoretical research, physical experiments, mathematical model analysis, and practical applications in well environments. For the development of the impulse sound source, theoretical basic research, physical experimental research, mathematical model analyses, and practical well applications are needed.

Author Contributions

Conceptualization, J.Z.; methodology, X.G. and H.X.; formal analysis, X.G. and X.D.; investigation, X.G. and X.D.; resources, J.Z.; data curation, X.G. and H.X.; writing—original draft preparation, X.G.; writing—review and editing, J.Z. and H.X. All authors have read and agreed to the published version of the manuscript.

Funding

This research was funded by the National Natural Science Foundation of China, grant number 51874238.

Data Availability Statement

The original contributions presented in the study are included in the article, further inquiries can be directed to the corresponding author.

Conflicts of Interest

The authors declare no conflicts of interest.

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Figure 1. Working circuit diagram of the high-voltage experimental platform for impulse sound source.
Figure 1. Working circuit diagram of the high-voltage experimental platform for impulse sound source.
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Figure 2. Physical diagram of high-voltage power supply module.
Figure 2. Physical diagram of high-voltage power supply module.
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Figure 3. Needle-bar electrode structure.
Figure 3. Needle-bar electrode structure.
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Figure 4. Needle-bar electrode wave generation process: (a) The pre-breakdown stage; (b) the during-breakdown stage; (c) the post-breakdown stage.
Figure 4. Needle-bar electrode wave generation process: (a) The pre-breakdown stage; (b) the during-breakdown stage; (c) the post-breakdown stage.
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Figure 5. Voltage and current waveforms of needle-bar electrode.
Figure 5. Voltage and current waveforms of needle-bar electrode.
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Figure 6. Pressure–times curve of the shockwave.
Figure 6. Pressure–times curve of the shockwave.
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Figure 7. Equivalent circuit diagram of impulse sound source discharge.
Figure 7. Equivalent circuit diagram of impulse sound source discharge.
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Figure 8. Structural simulation model of the needle-bar electrode.
Figure 8. Structural simulation model of the needle-bar electrode.
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Figure 9. (a) Voltage and current waveforms of the needle-bar electrode at the pre-breakdown stage; (b) current waveform of needle-bar electrode in the post-breakdown stage; (c) pressure–time diagram of impulse wave.
Figure 9. (a) Voltage and current waveforms of the needle-bar electrode at the pre-breakdown stage; (b) current waveform of needle-bar electrode in the post-breakdown stage; (c) pressure–time diagram of impulse wave.
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Figure 10. Structural simulation model of the needle-ball electrode.
Figure 10. Structural simulation model of the needle-ball electrode.
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Figure 11. Structural simulation model of the needle-needle electrode.
Figure 11. Structural simulation model of the needle-needle electrode.
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Figure 12. Structural simulation model of the needle-ring electrode.
Figure 12. Structural simulation model of the needle-ring electrode.
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Figure 13. Sound pressure level–frequency plots for needle series electrode structures.
Figure 13. Sound pressure level–frequency plots for needle series electrode structures.
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Figure 14. (a) Ball-tipped needle-ring electrode; (b) partial view of the cone head of the needle electrode.
Figure 14. (a) Ball-tipped needle-ring electrode; (b) partial view of the cone head of the needle electrode.
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Figure 15. Sound pressure level–frequency plots for needle-ring electrode and ball-tipped needle-ring electrode.
Figure 15. Sound pressure level–frequency plots for needle-ring electrode and ball-tipped needle-ring electrode.
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Table 1. Geometrical parameters of needle-bar electrode.
Table 1. Geometrical parameters of needle-bar electrode.
PartGeometrical Parameters
Bottom radius of the cone0.5 mm
Top radius of the cone5 mm
Height of the cone20 mm
Height of the needle column50 mm
Radius of bar electrode5 mm
Height of bar electrode0.5 mm
Table 2. External circuit parameters.
Table 2. External circuit parameters.
External CircuitParameters
Charging voltage20 kV
Energy storage capacitance15 μF
Equivalent inductance8.18 μH
Equivalent resistance0.22 Ω
Electrical conductivity0.07 S/m
Relative dielectric constant of water81
Table 3. Parameters of the high-voltage experimental and simulation results.
Table 3. Parameters of the high-voltage experimental and simulation results.
PartExperimental ResultsSimulation Results
Pre-breakdown time0.19 ms0.19 ms
First peak of breakdown current25.8 kA25.58 kA
Amplitude of impulse wave14.02 MPa14.1 MPa
Breakdown voltage18.50 kV18.86 V
Table 4. Geometrical parameters of needle-ball electrode.
Table 4. Geometrical parameters of needle-ball electrode.
PartGeometrical Parameters
Bottom radius of the cone0.5 mm
Top radius of the cone5 mm
Height of the cone20 mm
Height of the needle column50 mm
Radius of ball electrode4 mm
Table 5. Geometrical parameters of needle-needle electrode.
Table 5. Geometrical parameters of needle-needle electrode.
PartGeometrical Parameters
Bottom radius of the cone0.5 mm
Top radius of the cone5 mm
Height of the cone20 mm
Height of the needle column50 mm
Table 6. Geometrical parameters of needle-ring electrode.
Table 6. Geometrical parameters of needle-ring electrode.
PartGeometrical Parameters
Bottom radius of the cone0.5 mm
Top radius of the cone5 mm
Height of the cone20 mm
Height of the needle column50 mm
Ring electrodeInner ring radius5 mm
Outer ring radius6 mm
Table 7. Comparison of needle series electrode structures.
Table 7. Comparison of needle series electrode structures.
Electrode StructuresPre-Breakdown TimeBreakdown VoltageMaximum Discharge CurrentMaximum Impulse Wave AmplitudeElectro-acoustic Conversion Efficiency
Needle-Needle Electrode537.03 μs10.05 kV10.6 kA11.11 MPa0.85%
Needle-Ring Electrode229.09 μs18.96 kV26.5 kA20.73 MPa2.56%
Needle-Ball Electrode269.15 μs18.83 kV20.5 kA13.88 MPa1.84%
Needle-Bar Electrode190.00 μs18.50 kV25.8 kA14.02 MPa1.96%
Table 8. Geometrical parameters of ball-tipped needle-ring electrode.
Table 8. Geometrical parameters of ball-tipped needle-ring electrode.
PartGeometrical Parameters
Bottom radius of the cone0.5 mm
Top radius of the cone5 mm
Height of the cone20 mm
Height of the needle column50 mm
Radius of the ball0.5 mm
Ring electrodeInner ring radius5 mm
Outer ring radius6 mm
Table 9. Comparison of ball-tipped needle-ring electrode and needle-ring electrode.
Table 9. Comparison of ball-tipped needle-ring electrode and needle-ring electrode.
Electrode StructuresPre-Breakdown TimeBreakdown VoltageMaximum Discharge CurrentMaximum Impulse Wave AmplitudeElectro-acoustic Conversion Efficiency
Needle-ring electrode229.09 μs18.96 kV26.5 kA20.73 MPa2.56%
Ball-tipped needle-ring electrode204.42 μs19.48 kV27.8 kA21.20 MPa2.79%
Table 10. Summary of along-drill sonic depth detection technology.
Table 10. Summary of along-drill sonic depth detection technology.
Along-Drill Sonic Depth Detection TechnologySingle Pole Transducer Longitudinal Wave MeasurementDipole Transducer Transverse Wave MeasurementPhased-Array Transducer Azimuthal MeasurementMultipole Transducer Quadrupole Wave MeasurementImpulse Sound Source Shockwave Measurement
Bandwidth10 kHz–20 kHz0.5 kHz–5 kHzaround 14 kHz1 kHz–25 kHzcontrollable from 0 kHz to 300 kHz
Wave amplitudehighmediumlowhighhigher
Detection areadozens of meterstens of meterstens of meterstens of metershundred meters
Propagation losshighlowmediumlowfrequency dependent, controllable
Sound source directivitylowmedium
(axisymmetric)
high
(directional emission)
medium
(axisymmetric)
high
(configurable)
Detection accuracyhighlowmediumhighfrequency dependent, controllable
Representative instrumentsBARS [29], CLSS [30], Shockwave [31], CrossWave [32]Sonic scanner [33], DSI [34], BAT [35], Wave sonic [36], MAC series [37]Azimuthal remote detection sonic logging instrument (BAR) [38]APX [39], QBAT and XBAT [40], SonicScope [41,42]in the experimental and basic research stages, no commercialized instruments
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Gao, X.; Zhou, J.; Xie, H.; Du, X. Discharge Experiment and Structure Optimisation Simulation of Impulse Sound Source. Energies 2024, 17, 4565. https://doi.org/10.3390/en17184565

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Gao X, Zhou J, Xie H, Du X. Discharge Experiment and Structure Optimisation Simulation of Impulse Sound Source. Energies. 2024; 17(18):4565. https://doi.org/10.3390/en17184565

Chicago/Turabian Style

Gao, Xu, Jing Zhou, Haiming Xie, and Xiao Du. 2024. "Discharge Experiment and Structure Optimisation Simulation of Impulse Sound Source" Energies 17, no. 18: 4565. https://doi.org/10.3390/en17184565

APA Style

Gao, X., Zhou, J., Xie, H., & Du, X. (2024). Discharge Experiment and Structure Optimisation Simulation of Impulse Sound Source. Energies, 17(18), 4565. https://doi.org/10.3390/en17184565

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