WO2020134702A1 - 一种使用脉冲压力波检测压力管道内堵塞情况的方法 - Google Patents

一种使用脉冲压力波检测压力管道内堵塞情况的方法 Download PDF

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WO2020134702A1
WO2020134702A1 PCT/CN2019/119199 CN2019119199W WO2020134702A1 WO 2020134702 A1 WO2020134702 A1 WO 2020134702A1 CN 2019119199 W CN2019119199 W CN 2019119199W WO 2020134702 A1 WO2020134702 A1 WO 2020134702A1
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pressure
wave
pulse pressure
pressure wave
pulse
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宋永臣
储佳伟
刘瑜
赵佳飞
刘卫国
李星泊
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Dalian University of Technology
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    • F—MECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
    • F17—STORING OR DISTRIBUTING GASES OR LIQUIDS
    • F17D—PIPE-LINE SYSTEMS; PIPE-LINES
    • F17D3/00—Arrangements for supervising or controlling working operations
    • F17D3/01—Arrangements for supervising or controlling working operations for controlling, signalling, or supervising the conveyance of a product
    • F—MECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
    • F17—STORING OR DISTRIBUTING GASES OR LIQUIDS
    • F17D—PIPE-LINE SYSTEMS; PIPE-LINES
    • F17D5/00—Protection or supervision of installations

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  • the invention relates to the technical field of pipeline detection, in particular to a method for detecting a blockage in a pressure pipeline using a pulse pressure wave.
  • the current common pipeline blockage detection methods include acoustic wave detection and gamma rays Methods of detection and pressure signal analysis.
  • the operation method of sound wave detection is to arrange acoustic sensors in pairs in the monitoring area to form an array.
  • the sensors on both sides receive signals to analyze and determine the location of the blockage, but this method is easily interfered by background noise, which affects the accuracy and accuracy of the positioning;
  • the gamma-ray method uses the penetration characteristics of gamma rays to locate the blockage , The result is more accurate, but the main limitation of this method is that when it is blocked in the submarine pipeline, the operation is more troublesome and the cost is higher;
  • the pressure signal analysis method is based on the characteristics of the pressure signal in the pipeline with the pipeline and the event to determine the location and degree of blockage This method is simple to operate, but has poor detection accuracy.
  • the present invention provides a method for detecting a blockage in a pressure pipeline using a pulse pressure wave.
  • the technical solution adopted by the present invention is: a method for detecting a blockage in a pressure pipe using a pulse pressure wave, including the following steps:
  • the high-frequency dynamic pressure sensor A records the pulse pressure wave signal S1 at the entrance of the pressure pipeline, and set a high-frequency dynamic pressure at a distance of L from the entrance of the pressure pipeline Sensor B, high-frequency dynamic pressure sensor B records the pulse pressure wave signal S2 at a distance L from the entrance of the pressure pipe;
  • the pulse pressure wave is a single peak negative pressure wave, the width is less than 50 ms, and the signal acquisition frequency of the high-frequency dynamic pressure sensor A and the high-frequency dynamic pressure sensor B is higher than 10 kHz.
  • the analysis of the pulse pressure wave signal S1 and the pulse pressure wave signal S2 specifically obtains that the first incident wave of the pulse pressure wave signal S1 is D1, and the first mutation point of D1 is recorded as the characteristic point 1, then the characteristic point The time of 1 is T 1 , and the maximum value of the pressure fluctuation of D1 is P 1 ; the first incident wave of the pulse pressure wave signal S2 obtained is D2, and the first mutation point of D2 is recorded as characteristic point 2, then the characteristic point 2 The time is T 2 , and the maximum value of the pressure fluctuation of D2 is P 2 .
  • the obtaining of the pulse pressure wave propagation speed C and the pulse pressure wave attenuation coefficient ⁇ is specifically the pulse pressure wave propagation velocity C calculated by the wave velocity formula, and the pulse pressure wave attenuation coefficient ⁇ calculated by the definition of the attenuation coefficient; the wave velocity formula for:
  • the attenuation coefficient is defined as:
  • step (4) is specifically:
  • the blockage is a short blockage
  • the reflected wave is a single negative pulse pressure wave followed by a single positive pulse pressure wave, then the blockage is a long blockage.
  • step (5) to obtain the blocked position of the blocked section as x and the blocked rate as S.
  • the blocked condition is the occurrence of a long blocked section
  • the length of the blocked section is l; the first one generated by the blocked section at this time
  • the negative pulse pressure wave is D3, the first mutation point of D3 is recorded as characteristic point 3, then the time of characteristic point 3 is T 3 , and the maximum value of the pressure fluctuation of D3 is P 3 ;
  • the blockage is a long blockage, Then the first negative pulse pressure wave is followed by the first positive pulse pressure wave, the first positive pulse pressure wave is D4, the first mutation point of D4 is recorded as characteristic point 4, and the time of characteristic point 4 is T 4.
  • the maximum value of the pressure fluctuation of D4 is P 4 .
  • k is the maximum ratio of the pressure fluctuation of the reflected wave and the incident wave at the clogging position.
  • ⁇ is a non-linear coefficient
  • ⁇ 0 is the incident wave particle velocity
  • T is the pulse pressure wave width
  • ⁇ is the pi.
  • the beneficial effect of the present invention is: by quickly opening and closing the solenoid valve, it actively emits a pulse pressure wave in the pipeline, analyzes the effective information in the incident wave and the reflected wave, can accurately determine the number and type of the blocked section, and can obtain the blocked Position, clogging rate and clogging length, easy to operate and high precision.
  • FIG. 1 is a schematic diagram of a pressure wave curve diagram of the present invention.
  • the quick opening and closing solenoid valve at the entrance of the pipeline emits a pulse pressure wave into the pressure pipeline at the entrance of the pressure pipeline;
  • the high-frequency dynamic pressure sensor A records the pulse pressure wave signal S1 at the entrance of the pressure pipeline, and set a high-frequency dynamic pressure at a distance of L from the entrance of the pressure pipeline Sensor B, high-frequency dynamic pressure sensor B records the pulse pressure wave signal S2 at a distance L from the entrance of the pressure pipe; preferably, L takes 50m;
  • the pulse pressure wave is a single peak negative pressure wave, the width is less than 50 ms, and the signal acquisition frequency of the high-frequency dynamic pressure sensor A and the high-frequency dynamic pressure sensor B is higher than 10 kHz.
  • the analysis of the pulse pressure wave signal S1 and the pulse pressure wave signal S2 is specifically to obtain the first incident wave of the pulse pressure wave signal S1 as D1, and the first mutation point of D1 (that is, the inflection point where the dynamic pressure signal starts to mutate) is written as Feature point 1, then the time of feature point 1 is T 1 , and the maximum value of the pressure fluctuation of D1 is P 1 ; the first incident wave of the pulse pressure wave signal S2 obtained is D2, and the first mutation point of D2 is recorded as the feature point 2, the time of feature point 2 is T 2 , and the maximum value of the pressure fluctuation of D2 is P 2 ; using the pressure wave curve chart can be more intuitive and improve work efficiency.
  • the obtaining of the pulse pressure wave propagation speed C and the pulse pressure wave attenuation coefficient ⁇ is specifically the pulse pressure wave propagation velocity C calculated by the wave velocity formula, and the pulse pressure wave attenuation coefficient ⁇ calculated by the definition of the attenuation coefficient; the wave velocity formula is:
  • the attenuation coefficient is defined as:
  • ln is the natural logarithmic symbol.
  • the step (4) is specifically as follows:
  • the reflected wave is a single negative pulse pressure wave, it means that the diameter of the pipeline becomes smaller in a certain section, and the length of this section is shorter.
  • the reflected wave is a single negative pulse pressure wave followed by a single positive pulse pressure wave, it means that the pipe diameter becomes smaller in a certain section, and the pipe diameter becomes larger after a certain distance. It can be judged that the blockage is a long blockage;
  • the reflected wave includes two or more combinations of the above two cases, it can be determined that the clogging situation is also a combination of two or more of the above two cases.
  • step (5) to obtain the blocked position of the blocked section as x and the blocked rate as S.
  • the length of the blocked section is obtained as l; the first negative pulse pressure generated by the blocked section at this time
  • the wave reflection wave is D3, the first mutation point of D3 is recorded as characteristic point 3, then the time of characteristic point 3 is T 3 , and the maximum value of pressure fluctuation of D3 is P 3 ;
  • the blockage is a long blockage, then The first negative pulse pressure wave is followed by the first positive pulse pressure wave, the first positive pulse pressure wave is D4, and the first mutation point of D4 is recorded as characteristic point 4, then the time of characteristic point 4 is T 4 ,
  • the maximum value of the pressure fluctuation of D4 is P 4 .
  • k is the maximum ratio of the pressure fluctuation of the reflected wave and the incident wave at the clogging position.
  • the pulse pressure wave will form a shock wave during the propagation process, and the calculation formula of the shock wave travel distance is:
  • ⁇ is a nonlinear coefficient
  • ⁇ 0 is the velocity of the incident wave particle
  • T is the pulse pressure wave width
  • ⁇ is the pi.
  • the method of this embodiment is a method for detecting the clogging in the pressure pipeline by using the propagation characteristics of the pulse pressure wave, and actively launches a pulse pressure wave in the pipeline by quickly opening and closing the solenoid valve, and the pulse pressure wave propagates along the pipeline.
  • reflection will occur, and then extract its incident and reflected signals, analyze the effective information in the incident wave and the reflected wave, so as to accurately determine the number and type of the jammed section, and obtain the jam position, jam rate and jam length by calculation , Simple operation and high precision.

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  • Engineering & Computer Science (AREA)
  • Mechanical Engineering (AREA)
  • General Engineering & Computer Science (AREA)
  • Measuring Fluid Pressure (AREA)
  • Geophysics And Detection Of Objects (AREA)
  • Pipeline Systems (AREA)

Abstract

一种使用脉冲压力波检测压力管道内堵塞情况的方法，包括以下步骤：1、利用电磁阀在压力管道入口处发射一段脉冲压力波；2、在压力管道入口处设置高频动态压力传感器A，记录此处的脉冲压力波信号S1，在距离压力管道入口处L距离的位置设置高频动态压力传感器B，记录此处的脉冲压力波信号S2；3、分析S1和S2获得脉冲压力波传播速度C和脉冲压力波衰减系数η；4、分析脉冲压力波信号S2，获取堵塞情况。该方法通过快速开闭电磁阀在管道内主动发射一段脉冲压力波，分析其入射波和反射波中的有效信息，能准确判断堵塞段的个数和类型，并且可以获得堵塞位置、堵塞率和堵塞长度，操作简便，精度高。

Description

一种使用脉冲压力波检测压力管道内堵塞情况的方法 技术领域
本发明涉及管道检测技术领域，尤其涉及一种使用脉冲压力波检测压力管道内堵塞情况的方法。
背景技术
随着全球化石能源的日渐枯竭以及人类对油气资源开发利用的深化，人类对油气资源的开发逐渐由陆地转入了海洋，因此作为最主要的油气输送方式，海底管道的里程也不断增长，在海洋油气的开发中，海底管道的运行状况直接关系到海上油气田的安全，而管道在运行过程中，可能会由于石蜡、沥青等固体的堆积以及天然气水合物固体的生成等各种原因造成堵塞；
当管道堵塞发生后，快速实现堵塞位置和堵塞程度的检测，及时解堵以降低堵塞造成的经济损失成为石油公司越来越迫切的需求；目前常见的管道堵塞检测方法有声波检测、伽玛射线检测以及压力信号分析等方法，声波检测的操作方法是将声学传感器成对布置于监测区形成阵列，当管道内发生堵塞时，流道截面积的变化会引起压力波动，从而产生声波，堵塞区两侧的传感器接收到信号进行分析，确定堵塞的位置，但是这一方法容易受到背景噪声的干扰，影响定位的精度与准确性；γ射线法是利用γ射线的穿透特性对堵塞位置进行定位，结果较为准确，但该方法主要的局限在于当堵塞在海底管道时，操作较为麻烦，成本较高；压力信号分析法是根据管道内压力信号随管线和事件变化特点来判断堵塞位置和堵塞程度，这种方法操作简单，但检 测精度很差。
发明内容
为解决现有管道堵塞检测方法或容易受干扰、或成本较高、或检测精度差的问题，本发明提供了一种使用脉冲压力波检测压力管道内堵塞情况的方法。
为实现上述目的，本发明采用的技术方案是：一种使用脉冲压力波检测压力管道内堵塞情况的方法，包括以下步骤：
(1)利用电磁阀在压力管道入口处发射一段脉冲压力波；
(2)在压力管道入口处设置高频动态压力传感器A，高频动态压力传感器A记录下压力管道入口处的脉冲压力波信号S1，在距离压力管道入口处L距离的位置设置高频动态压力传感器B，高频动态压力传感器B记录下距离压力管道入口处L距离的位置处的脉冲压力波信号S2；
(3)分析脉冲压力波信号S1与脉冲压力波信号S2，获得脉冲压力波传播速度C和脉冲压力波衰减系数η；
(4)分析脉冲压力波信号S2，获取堵塞情况。
进一步的，所述脉冲压力波为单峰负压力波，宽度小于50ms，高频动态压力传感器A和高频动态压力传感器B的信号采集频率高于10khz。
进一步的，所述分析脉冲压力波信号S1与脉冲压力波信号S2具体为获得脉冲压力波信号S1的第一个入射波为D1，D1的第一个突变点记为特征点1，则特征点1的时间为T 1，D1的压力波动最值为P 1； 获得脉冲压力波信号S2的第一个入射波为D2，D2的第一个突变点记为特征点2，则特征点2的时间为T 2，D2的压力波动最值为P 2。
进一步的，所述获得脉冲压力波传播速度C和脉冲压力波衰减系数η具体为通过波速公式计算得到脉冲压力波传播速度C，通过衰减系数定义计算得到脉冲压力波衰减系数η；所述波速公式为：
Figure PCTCN2019119199-appb-000001
所述衰减系数定义为：
Figure PCTCN2019119199-appb-000002
进一步的，所述步骤(4)具体为：
当在S2的入射波后出现了压力波动值更小的反射波，则压力管道内出现堵塞段；
若反射波为单个负脉冲压力波，则堵塞情况为出现短堵塞段；
若反射波为单个负脉冲压力波且后面跟随有单个正脉冲压力波，则堵塞情况为出现长堵塞段。
进一步的，还包括步骤(5)获得堵塞段的堵塞位置为x、堵塞率为S，当堵塞情况为出现长堵塞段时，获得堵塞段长度为l；此时由堵塞段产生的第一个负脉冲压力波为D3，D3的第一个突变点记为特征点3，则特征点3的时间为T 3，D3的压力波动最值为P 3；当堵塞情况为出现长堵塞段时，则第一个负脉冲压力波后面跟随有第一个正脉冲压力波，第一个正脉冲压力波为D4，D4的第一个突变点记为特征点4，则特征点4的时间为T 4，D4的压力波动最值为P 4。
进一步的，所述堵塞位置的计算公式为：
Figure PCTCN2019119199-appb-000003
所述堵塞段长度的计算公式为：
Figure PCTCN2019119199-appb-000004
进一步的，所述堵塞率的计算公式为：
Figure PCTCN2019119199-appb-000005
其中：k为堵塞位置处反射波和入射波的压力波动最值比。
进一步的，所述堵塞位置处反射波和入射波的压力波动最值比的计算公式为：
Figure PCTCN2019119199-appb-000006
其中X S为冲击波行程距离，e为自然常数。
进一步的，所述冲击波行程距离的计算公式为：
Figure PCTCN2019119199-appb-000007
其中：β为非线性系数，μ 0为入射波质点运动速度，T为脉冲压力波宽度，π为圆周率。
本发明的有益效果是：通过快速开闭电磁阀在管道内主动发射一段脉冲压力波，分析其入射波和反射波中的有效信息，能准确判断堵塞段的个数和类型，并且可以获得堵塞位置、堵塞率和堵塞长度，操作简便，精度高。
附图说明
图1为本发明压力波曲线图的示意图。
具体实施方式
一种使用脉冲压力波检测压力管道内堵塞情况的方法，其特征在于，包括以下步骤：
(1)快速开闭位于管道入口处的电磁阀在压力管道入口处向压力管道内发射一段脉冲压力波；
(2)在压力管道入口处设置高频动态压力传感器A，高频动态压力传感器A记录下压力管道入口处的脉冲压力波信号S1，在距离压力管道入口处L距离的位置设置高频动态压力传感器B，高频动态压力传感器B记录下距离压力管道入口处L距离的位置处的脉冲压力波信号S2；优选的，L取50m；
(3)通过脉冲压力波信号S1与脉冲压力波信号S2建立压力波曲线图，分析脉冲压力波信号S1与脉冲压力波信号S2，获得脉冲压力波传播速度C和脉冲压力波衰减系数η；
(4)分析脉冲压力波信号S2，获取堵塞情况。
所述脉冲压力波为单峰负压力波，宽度小于50ms，高频动态压力传感器A和高频动态压力传感器B的信号采集频率高于10khz。
所述分析脉冲压力波信号S1与脉冲压力波信号S2具体为获得脉冲压力波信号S1的第一个入射波为D1，D1的第一个突变点(即动态压力信号开始突变的拐点)记为特征点1，则特征点1的时间为T 1，D1的压力波动最值为P 1；获得脉冲压力波信号S2的第一个入射波为D2，D2的第一个突变点记为特征点2，则特征点2的时间为T 2，D2的压力波动最值为P 2；使用压力波曲线图能更直观，提升工作效率。
所述获得脉冲压力波传播速度C和脉冲压力波衰减系数η具体为通过波速公式计算得到脉冲压力波传播速度C，通过衰减系数定义计算得到脉冲压力波衰减系数η；所述波速公式为：
Figure PCTCN2019119199-appb-000008
所述衰减系数定义为：
Figure PCTCN2019119199-appb-000009
其中：ln为自然对数符号。
所述步骤(4)具体为：
当在S2的入射波后出现了压力波动值更小的反射波，则压力管道内出现堵塞段；
若反射波为单个负脉冲压力波，则说明管道在某一段管径变小，且这一段长度较短，可判断堵塞情况为出现短堵塞段；
若反射波为单个负脉冲压力波且后面跟随有单个正脉冲压力波，则说明管道在某一段管径变小，且过一段距离后管径变大，可判断堵塞情况为出现长堵塞段；
若反射波包含为以上两种情况的两个或多个组合的形式，则可判断堵塞情况也为以上两种情况的两个或多个组合的形式。
还包括步骤(5)获得堵塞段的堵塞位置为x、堵塞率为S，当堵塞情况为出现长堵塞段时，获得堵塞段长度为l；此时由堵塞段产生的第一个负脉冲压力波反射波为D3，D3的第一个突变点记为特征点3，则特征点3的时间为T 3，D3的压力波动最值为P 3；当堵塞情况为 出现长堵塞段时，则第一个负脉冲压力波后面跟随有第一个正脉冲压力波，第一个正脉冲压力波为D4，D4的第一个突变点记为特征点4，则特征点4的时间为T 4，D4的压力波动最值为P 4。
所述堵塞位置的计算公式为：
Figure PCTCN2019119199-appb-000010
所述堵塞段长度的计算公式为：
Figure PCTCN2019119199-appb-000011
所述堵塞率的计算公式为：
Figure PCTCN2019119199-appb-000012
其中：k为堵塞位置处反射波和入射波的压力波动最值比。
所述堵塞位置处反射波和入射波的压力波动最值比的计算公式为：
Figure PCTCN2019119199-appb-000013
其中X S为冲击波行程距离，e为自然常数。
脉冲压力波在传播过程中会形成冲击波，所述冲击波行程距离的计算公式为：
Figure PCTCN2019119199-appb-000014
其中：β为非线性系数，μ 0为入射波质点运动速度，T为脉冲压力波宽度，π为圆周率。
本实施例的方法是一种利用脉冲压力波传播特性对压力管道内堵塞情况进行检测的方法，通过快速开闭电磁阀在管道内主动发射一 段脉冲压力波，该脉冲压力波沿管道进行传播，遇到堵塞时会发生反射，然后提取其入射和反射信号，分析其入射波和反射波中的有效信息，从而准确判断堵塞段的个数和类型，通过计算得到堵塞位置、堵塞率和堵塞长度，操作简便，精度高。
以上所述，仅为本发明较佳的具体实施方式，但本发明的保护范围并不局限于此，任何熟悉本技术领域的技术人员在本发明披露的技术范围内，根据本发明的技术方案及其发明构思加以等同替换或改变，都应涵盖在本发明的保护范围之内。

Claims (10)

  1. 一种使用脉冲压力波检测压力管道内堵塞情况的方法，其特征在于，包括以下步骤：
    (1)在压力管道入口处发射一段脉冲压力波；
    (2)在压力管道入口处设置高频动态压力传感器A，高频动态压力传感器A记录下压力管道入口处的脉冲压力波信号S1，在距离压力管道入口处L距离的位置设置高频动态压力传感器B，高频动态压力传感器B记录下距离压力管道入口处L距离的位置处的脉冲压力波信号S2；
    (3)分析脉冲压力波信号S1与脉冲压力波信号S2，获得脉冲压力波传播速度C和脉冲压力波衰减系数η；
    (4)分析脉冲压力波信号S2，获取堵塞情况。
  2. 根据权利要求1所述的一种使用脉冲压力波检测压力管道内堵塞情况的方法，其特征在于，所述脉冲压力波为单峰负压力波，宽度小于50ms，高频动态压力传感器A和高频动态压力传感器B的信号采集频率高于10khz，脉冲压力波由电磁阀在压力管道入口处快速开闭产生。
  3. 根据权利要求1所述的一种使用脉冲压力波检测压力管道内堵塞情况的方法，其特征在于，所述分析脉冲压力波信号S1与脉冲压力波信号S2具体为获得脉冲压力波信号S1的第一个入射波为D1，D1的第一个突变点记为特征点1，则特征点1的时间为T 1，D1的压力波动最值为P 1；获得脉冲压力波信号S2的第一个入射波为D2，D2的第一个突变点记为特征点2，则特征点2的时间为T 2，D2的压力波动最值 为P 2。
  4. 根据权利要求1所述的一种使用脉冲压力波检测压力管道内堵塞情况的方法，其特征在于，所述获得脉冲压力波传播速度C和脉冲压力波衰减系数η具体为通过波速公式计算得到脉冲压力波传播速度C，通过衰减系数定义计算得到脉冲压力波衰减系数η；所述波速公式为：
    Figure PCTCN2019119199-appb-100001
    所述衰减系数定义为：
    Figure PCTCN2019119199-appb-100002
  5. 根据权利要求1所述的一种使用脉冲压力波检测压力管道内堵塞情况的方法，其特征在于，所述步骤(4)具体为：
    当在S2的入射波后出现了压力波动值更小的反射波，则压力管道内出现堵塞段；
    若反射波为单个负脉冲压力波，则堵塞情况为出现短堵塞段；
    若反射波为单个负脉冲压力波且后面跟随有单个正脉冲压力波，则堵塞情况为出现长堵塞段。
  6. 根据权利要求1所述的一种使用脉冲压力波检测压力管道内堵塞情况的方法，其特征在于，还包括步骤(5)获得堵塞段的堵塞位置为x、堵塞率为S，当堵塞情况为出现长堵塞段时，获得堵塞段长度为l；此时由堵塞段产生的第一个负脉冲压力波为D3，D3的第一个突变点记为特征点3，则特征点3的时间为T 3，D3的压力波动最值为P 3；当 堵塞情况为出现长堵塞段时，则第一个负脉冲压力波后面跟随有第一个正脉冲压力波，第一个正脉冲压力波为D4，D4的第一个突变点记为特征点4，则特征点4的时间为T 4，D4的压力波动最值为P 4。
  7. 根据权利要求6所述的一种使用脉冲压力波检测压力管道内堵塞情况的方法，其特征在于，所述堵塞位置的计算公式为：
    Figure PCTCN2019119199-appb-100003
    所述堵塞段长度的计算公式为：
    Figure PCTCN2019119199-appb-100004
  8. 根据权利要求6所述的一种使用脉冲压力波检测压力管道内堵塞情况的方法，其特征在于，所述堵塞率的计算公式为：
    Figure PCTCN2019119199-appb-100005
    其中：k为堵塞位置处反射波和入射波的压力波动最值比。
  9. 根据权利要求8所述的一种使用脉冲压力波检测压力管道内堵塞情况的方法，其特征在于，所述堵塞位置处反射波和入射波的压力波动最值比的计算公式为：
    Figure PCTCN2019119199-appb-100006
    其中X S为冲击波行程距离，e为自然常数。
  10. 根据权利要求9所述的一种使用脉冲压力波检测压力管道内堵塞情况的方法，其特征在于，所述冲击波行程距离的计算公式为：
    Figure PCTCN2019119199-appb-100007
    其中：β为非线性系数，μ 0为入射波质点运动速度，T为脉冲压力波 宽度，π为圆周率。
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