CN107389974A - Gas-Liquid Slug Flow structure flow velocity acoustic-electric bimodal measuring method - Google Patents
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Abstract
本发明涉及一种气液弹状流结构流速声电双模态测量方法,采用双晶超声换能器和电学传感器实现,包含:采集电学传感器的含水率和超声传感器的多普勒频移信号;计算采样时间内的含水率均值thH,将thH作为含率阈值对流体进行区域划分,利用液弹区和气弹区的含水率序列分别计算液弹区含水率均值和气弹区的含水率均值并对流体进行二次区域划分为气弹区、混合区和液弹区;利用经验模态分解,对超声多普勒频移信号进行高频去噪处理;再次利用经验模态分解为若干本征模态函数;计算液弹头部即混合区时间范围内的多普勒平均频移,液弹区时间范围内的多普勒平均频移,液膜时间范围内的多普勒平均频移度;计算弹状流的结构流速。
The invention relates to an acoustic-electric dual-mode measurement method for flow velocity in a gas-liquid slug flow structure, which is realized by using a dual-crystal ultrasonic transducer and an electrical sensor, including: collecting the water content of the electrical sensor and the Doppler frequency shift signal of the ultrasonic sensor ;Calculate the average value of water content th H within the sampling time, use th H as the threshold value of the water content to divide the fluid area, and use the water content series of the liquid elastic area and the gas elastic area to calculate the average water content of the liquid elastic area and the average water content in the aeroelastic zone And divide the fluid area into aeroelastic area, mixing area and liquid elastic area; use empirical mode decomposition to perform high frequency denoising processing on ultrasonic Doppler frequency shift signal; use empirical mode decomposition again to divide into several Eigenmode function; calculate the Doppler average frequency shift within the time range of the liquid warhead, that is, the mixing zone, the Doppler average frequency shift within the liquid elastic zone time range, and the Doppler average frequency shift within the liquid film time range ; Calculate the structure velocity of the slug flow.
Description
技术领域technical field
本发明属于流体测量技术领域,涉及一种超声传感器和电学传感器组合式测量方法,通过分解多普勒测试信号,实现气液弹状流的结构流速的非扰动式获取。The invention belongs to the technical field of fluid measurement, and relates to a combined measurement method of an ultrasonic sensor and an electrical sensor. By decomposing Doppler test signals, the undisturbed acquisition of the structural flow velocity of gas-liquid slug flow is realized.
背景技术Background technique
气液两相流广泛存在于石油、核电机组、化工等工业生产过程中,与单相流相比,其流动过程呈现复杂的随机性,尤其是在流速较高时容易形成间歇流型,此时气液两相之间的相互作用更加明显,剧烈的压力波动对管道造成强烈的冲击,严重时甚至引发安全事故。因此,对气液弹状流结构流速的测量对于模型建立、流型转化的预测与控制、生产安全与优化具有重要意义。Gas-liquid two-phase flow widely exists in industrial production processes such as petroleum, nuclear power units, and chemical industry. Compared with single-phase flow, its flow process presents complex randomness, especially when the flow rate is high, it is easy to form an intermittent flow pattern. When the interaction between the gas-liquid two phases is more obvious, the severe pressure fluctuation will cause a strong impact on the pipeline, and even cause a safety accident in severe cases. Therefore, the measurement of the flow velocity of gas-liquid slug flow structure is of great significance for model establishment, prediction and control of flow pattern transformation, production safety and optimization.
弹状流流动过程中的间歇性和瞬态性为流速测量带来了巨大的挑战。传统的测试手段多采用侵入式测量方法,如电导探针、热膜探针等,在获得流动参数的同时会对流动过程产生扰动,影响测量精度。在科学研究与工业生产过程中,急需利用非扰动式测量技术准确获取两相流的过程参数,因此电学法、超声法由于其非侵入、传感器结构简单、安装方便、成本低廉而备受关注。The intermittent and transient nature of slug flow poses great challenges for flow velocity measurement. Traditional testing methods mostly use intrusive measurement methods, such as conductivity probes, hot film probes, etc., which will disturb the flow process while obtaining flow parameters and affect the measurement accuracy. In the process of scientific research and industrial production, it is urgent to use non-disturbance measurement technology to accurately obtain the process parameters of two-phase flow. Therefore, electrical methods and ultrasonic methods have attracted much attention due to their non-invasive, simple sensor structure, convenient installation, and low cost.
电学测量方法根据传感器的结构、形状、激励方式的不同分为环形电导阵列、电容极板、电阻抗层析成像等多种形式,其中环形电导阵列通过在激励电极对上施加恒定的激励电压建立电学敏感场,当被测流体的含率发生变化时,敏感场的阻抗特性随之发生变化,通过获取测量电极对上的电势差实现被测流体含率的测量,具有很好的应用前景。超声检测作为一种非侵入式方法,利用不同介质声阻抗不同而导致的超声在流体中传播时发生反射、折射等现象而对流体的流速进行测量,主要包括相关法、时差法、多普勒法等,在医学、流体测量中具有很广泛的应用。基于连续波的超声多普勒技术基于多普勒效应,超声波由超声换能器发射进入流体,经过多相流体中运动的离散相(液滴或气泡)的反射或散射后由超声换能器接收。入射声波和接收声波之间频差与测量区域内离散相散射颗粒的平均流动速度成正比。但是在实际流动过程中,流体中存在复杂的含率分布和流速剖面,尤其在弹状流中间歇出现的气弹和液弹,造成流体的含率和流速随时间存在剧烈波动。因此,多普勒频移信号是不同位置上具有不同流速的散射颗粒对超声多普勒效应的叠加,是一种包含多频率尺度波动的混叠信号。这些不同频率尺度的波动反映流体流动过程中的不同的流速。因此,将电学传感器与超声多普勒传感器组合使用,获取两相流的含率和流速信息。通过信号处理技术和联合分析方法,最终实现气液弹状流的结构流速的获取。According to the structure, shape and excitation mode of the sensor, the electrical measurement method is divided into various forms such as annular conductance array, capacitive plate, electrical impedance tomography, etc., among which the annular conductance array is established by applying a constant excitation voltage on the excitation electrode pair. The electrical sensitive field, when the holdup of the measured fluid changes, the impedance characteristics of the sensitive field will change accordingly, and the measurement of the holdup of the measured fluid can be realized by obtaining the potential difference on the measuring electrode pair, which has a good application prospect. As a non-invasive method, ultrasonic testing uses the reflection and refraction of ultrasound caused by the different acoustic impedances of different media to measure the flow velocity of fluids, mainly including correlation methods, time difference methods, and Doppler methods. It has a wide range of applications in medicine and fluid measurement. Ultrasonic Doppler technology based on continuous wave is based on the Doppler effect. Ultrasonic waves are emitted into the fluid by ultrasonic transducers, reflected or scattered by the discrete phases (droplets or bubbles) moving in multiphase fluids, and then emitted by the ultrasonic transducers. take over. The frequency difference between the incident sound wave and the received sound wave is proportional to the average flow velocity of discrete phase scattering particles in the measurement area. However, in the actual flow process, there are complex holdup distributions and flow velocity profiles in the fluid, especially the gas bombs and liquid bombs that appear intermittently in the slug flow, causing the fluid holdup and flow velocity to fluctuate violently with time. Therefore, the Doppler frequency shift signal is the superposition of the ultrasonic Doppler effect caused by scattering particles with different flow velocities at different positions, and it is an aliasing signal containing multi-frequency scale fluctuations. These fluctuations on different frequency scales reflect different flow velocities in the fluid flow process. Therefore, electrical sensors are used in combination with ultrasonic Doppler sensors to obtain holdup and flow velocity information of two-phase flow. Through the signal processing technology and the joint analysis method, the acquisition of the structural flow velocity of the gas-liquid slug flow is finally realized.
发明内容Contents of the invention
本发明的目的是在现有技术的基础上,利用超声多普勒传感器和电导传感器获得两相流的流速和含水率信息,提供一种新的基于信号经验分解的气液弹状流结构流速的测量方法。本发明的技术方案如下:The purpose of the present invention is to use ultrasonic Doppler sensor and conductivity sensor to obtain the flow velocity and water content information of two-phase flow on the basis of the prior art, and to provide a new flow velocity of gas-liquid slug flow structure based on signal empirical decomposition measurement method. Technical scheme of the present invention is as follows:
一种气液弹状流结构流速声电双模态测量方法,采用双晶超声换能器和电学传感器实现,双晶超声换能器用于获取两相流超声多普勒频移信号,电学传感器用于获取含水率信号,所述双晶超声换能器采用收发一体同侧结构,被安装于水平的测试管道底部并保证超声波声束方向与流动方向的夹角为θ;所述电学传感器由四个环形金属电极镶嵌在测试管道内壁组成,与超声换能器同时安装于测试管道中,测量方法包含如下步骤:An acoustic-electric dual-mode measurement method for flow velocity in a gas-liquid slug flow structure, which is realized by using a dual-crystal ultrasonic transducer and an electrical sensor. The dual-crystal ultrasonic transducer is used to obtain two-phase flow ultrasonic Doppler frequency shift signals, and the electrical sensor For obtaining the water content signal, the dual-crystal ultrasonic transducer adopts the structure of transmitting and receiving on the same side, and is installed at the bottom of the horizontal test pipe to ensure that the angle between the direction of the ultrasonic sound beam and the flow direction is θ; the electrical sensor consists of Four ring-shaped metal electrodes are embedded in the inner wall of the test pipe, and are installed in the test pipe together with the ultrasonic transducer. The measurement method includes the following steps:
1)采集电学传感器的含水率信号H(t),t∈(0,T)和超声传感器的多普勒频移信号fd(t),t∈(0,T),其中T为采样时间;1) Acquire the water content signal H(t), t∈(0,T) of the electrical sensor and the Doppler frequency shift signal f d (t), t∈(0,T) of the ultrasonic sensor, where T is the sampling time ;
2)计算采样时间内的含水率均值将thH作为含率阈值对流体进行区域划分:若某时刻下含水率大于thH,则该时刻下的含率为液弹区流过电学传感器时的含水率,否则该时刻下的含率为气弹区流过电学传感器时的含水率,即其中Hnl,Hng分别为液弹区和气弹区的含水率序列;2) Calculate the average value of moisture content within the sampling time Use th H as the holdup threshold to divide the fluid into regions: if the water cut at a certain moment is greater than th H , then the holdup at that moment is the water cut when the liquid elastic region flows through the electrical sensor, otherwise the holdup at this moment is is the water content when the aeroelastic zone flows through the electrical sensor, namely Among them, H nl and H ng are the water content series of the liquid elastic region and the gas elastic region respectively;
3)利用Hnl、Hng分别计算液弹区含水率均值和气弹区的含水率均值 与其中Tl,Tg分别为在采样时间内液弹区和气弹区经历的时间;将与作为含率阈值对流体进行二次区域划分:若某时刻含水率小于则该时刻为气弹区通过电学传感器,若某时刻含水率大于且小于则该时刻为混合通过电学传感器,否则为液弹区通过电学传感器,即3) Use H nl and H ng to calculate the average water content in the liquid elastic zone and the average water content in the aeroelastic zone and Among them, T l and T g are the time experienced in the liquid elastic region and the gas elastic region respectively within the sampling time; and As the holdup threshold, the fluid is divided into two regions: if the water cut at a certain moment is less than Then at this moment, the aeroelastic zone passes through the electrical sensor. If the water content at a certain moment is greater than and less than Then at this moment, the mixture passes through the electrical sensor, otherwise, the liquid elastic zone passes through the electrical sensor, that is,
由此可分别获取液弹区的开始时刻T1,混合区的停止时刻T2、气弹区的开始时刻T3以及气弹区的停止时刻,即下一液弹区的开始时刻T4;Thus, the start time T1 of the liquid - elastic zone, the stop time T2 of the mixing zone, the start time T3 of the aeroelastic zone, and the stop time of the aeroelastic zone can be respectively obtained, that is, the start time T4 of the next liquid - elastic zone;
4)利用经验模态分解,对超声多普勒频移信号进行高频去噪处理:基于经验模态分解的方法,将超声多普勒频移信号fd(t),t∈(0,T)逐级分解为若干本征模态函数IMFj(t),j=1,2,...,n和趋势函数rn(t)的和:其中n为分解得到的本征模态函数个数,利用互相关方法计算各本征模态函数IMFj(t),j=1,2,...,n与原多普勒频移信号的相关系数,去除前m级中与原多普勒频移信号的相关系数小于阈值thcc的高频本征模态函数分量;m一般取值为3-4,thcc一般取值为0.2-0.3;将前m级中与原多普勒频移信号的相关系数大于或等于thcc的本征模态函数、剩余的n-m级本征模态函数以及趋势函数rn(t)进行加和,重新组合成新的待处理信号fd'(t),t∈(0,T);4) Use empirical mode decomposition to perform high-frequency denoising processing on the ultrasonic Doppler frequency shift signal: based on the method of empirical mode decomposition, the ultrasonic Doppler frequency shift signal f d (t),t∈(0, T) is decomposed step by step into the sum of several intrinsic mode functions IMF j (t), j=1, 2,...,n and trend function r n (t): Where n is the number of intrinsic mode functions obtained by decomposition, and the cross-correlation method is used to calculate each intrinsic mode function IMF j (t), j=1,2,...,n and the original Doppler frequency shift signal The correlation coefficient of the original Doppler frequency shift signal in the first m stages is removed, and the high-frequency eigenmode function component whose correlation coefficient with the original Doppler frequency shift signal is less than the threshold th cc ; m generally takes a value of 3-4, and th cc generally takes a value of 0.2 -0.3; add the eigenmode function whose correlation coefficient with the original Doppler frequency shift signal in the first m level is greater than or equal to th cc , the remaining nm level eigenmode function and the trend function r n (t) and, recombined into a new signal to be processed f d '(t),t∈(0,T);
5)再次利用经验模态分解的方法将信号fd'(t),t∈(0,T)分解为若干本征模态函数IMFi(t),i=1,2,...,N和趋势项函数rN(t)的和,即其中N为分解得到的本征模态函数个数;选取前4级本征模态函数IMFi(t),i=1,2,3,4作为主分量;5) Use the method of empirical mode decomposition again to decompose the signal f d '(t), t∈(0,T) into several intrinsic mode functions IMF i (t), i=1,2,..., The sum of N and the trend term function r N (t), namely Where N is the number of intrinsic mode functions obtained by decomposition; select the first four intrinsic mode functions IMF i (t), i=1,2,3,4 as the principal components;
6)对主分量进行短时傅里叶变换得到其时频谱图,经过与电学含水率信号联合分析,确定主分量分别反映出的流体的结构流速:第一级本征模态函数IMF1(t)为最高频成分,反映弹状流中液弹的传播速度;第二级本征模态函数IMF2(t)覆盖基本覆盖液弹区,和第一级本征模态函数IMF1(t)一起反映液弹区的平均流速;第三级和第四级本征模态函数IMF3(t)&IMF4(t)出现在液膜区,与液滴夹带情况相关,反映液膜区内流体流速;6) Perform short-time Fourier transform on the principal component to obtain its time spectrum, and through joint analysis with the electrical water content signal, determine the structural flow velocity of the fluid reflected by the principal component: the first-order intrinsic mode function IMF 1 ( t) is the highest frequency component, reflecting the propagation velocity of the liquid bomb in the slug flow; the second-order intrinsic mode function IMF 2 (t) covers the basic covering liquid elastic area, and the first-order intrinsic mode function IMF 1 (t) together reflect the average flow velocity in the liquid elastic region; the third and fourth order intrinsic mode functions IMF 3 (t) & IMF 4 (t) appear in the liquid film region, which are related to the droplet entrainment and reflect the liquid film fluid velocity in the zone;
7)对第一级本征模态函数分量进行快速傅里叶变换并计算液弹头部即混合区时间范围内的多普勒平均频移:对第一级和第二级本征模态函数分量的加和进行快速傅里叶变换并计算液弹区时间范围内的多普勒平均频移对第三级和第四级本征模态函数分量的加和进行快速傅里叶变换并计算液膜时间范围内的多普勒平均频移其中fd1,fd2,fd3分别为IMF1(t),IMF1(t)+IMF2(t),IMF3(t)+IMF4(t)对应的频率,也即不同尺度下的超声多普勒频移,Sd1(fd1),Sd2(fd2),Sd3(fd3)分别为其对应的能量谱强度;7) Perform fast Fourier transform on the first-order eigenmode function components and calculate the Doppler average frequency shift within the time range of the liquid warhead, that is, the mixing zone: Fast Fourier transform the sum of the first and second order eigenmode function components and calculate the Doppler mean frequency shift over the time scale of the hydroelastic region Fast Fourier transform the sum of the third and fourth order eigenmode function components and calculate the Doppler mean frequency shift over the time scale of the liquid film where f d1 , f d2 , and f d3 are the frequencies corresponding to IMF 1 (t), IMF 1 (t)+IMF 2 (t), and IMF 3 (t)+IMF 4 (t), that is, the frequencies at different scales Ultrasonic Doppler frequency shift, S d1 (f d1 ), S d2 (f d2 ), S d3 (f d3 ) are their corresponding energy spectrum intensities;
8)根据多普勒效应基本原理,计算弹状流的结构流速:其中液弹的传播速度为:液弹的平均速度为:液膜区的平均流速为:其中f0为超声波反射探头的激励频率,θ为超声波声束方向与水平方向的夹角,c为流体中声速。8) According to the basic principle of the Doppler effect, calculate the structural velocity of the slug flow: where the propagation velocity of the liquid bomb is: The average velocity of the liquid bomb is: The average flow velocity in the liquid film region is: Where f 0 is the excitation frequency of the ultrasonic reflection probe, θ is the angle between the direction of the ultrasonic beam and the horizontal direction, and c is the speed of sound in the fluid.
本发明的实质性特点是:利用电学传感器获取气液弹状流的含水率波动信号,由于气相对超声的强反射作用,利用同侧收发一体超声多普勒传感器获取气液弹状流的多普勒频移信号。由于弹状流中流速差异较明显的气弹和液弹间歇性出现,含水率和流速随时间波动剧烈。加之流速剖面和含率分布的存在,使得多普勒频移信号是来自不同位置上具有不同流速的散射体对超声作用的叠加,是一种多频率波动的叠加信号。因此,采用基于经验模态分解的信号处理方法,将多普勒信号分解为若干本征模态函数,采用互相关算法确定反映信号最显著特征的主分量,并对主分量进行短时傅里叶变换分析,结合含水率对弹状流间歇特性的反映,最终实现弹状流结构流速的测量。本发明的有益效果及优点如下:The substantive features of the present invention are: using the electrical sensor to obtain the water content fluctuation signal of the gas-liquid slug flow; Puller shifted signal. Due to the intermittent appearance of gas and liquid bombs with obvious flow velocity differences in slug flow, the water cut and flow velocity fluctuate violently with time. In addition to the existence of flow velocity profile and holdup distribution, the Doppler frequency shift signal is the superposition of ultrasonic effects from scatterers with different flow velocities at different positions, and it is a superposition signal of multi-frequency fluctuations. Therefore, a signal processing method based on empirical mode decomposition is used to decompose the Doppler signal into several eigenmode functions, and the cross-correlation algorithm is used to determine the principal component reflecting the most significant feature of the signal, and the short-time Fourier analysis of the principal component is carried out. The leaf transformation analysis, combined with the reflection of the water content on the intermittent characteristics of the slug flow, finally realizes the measurement of the flow velocity of the slug flow structure. Beneficial effect and advantage of the present invention are as follows:
1.该方法为非扰动式测量手段,不会对流体产生任何的扰动;1. This method is a non-disturbance measurement method, which will not cause any disturbance to the fluid;
2.电学传感器和超声多普勒传感器组合式测量可获得对流体流动过程更全面的描述;2. The combined measurement of electrical sensor and ultrasonic Doppler sensor can obtain a more comprehensive description of the fluid flow process;
3.通过信号处理技术和联合分析方法实现流体的结构流速的测量,简单易行;3. Realize the measurement of the structural flow velocity of the fluid through signal processing technology and joint analysis method, which is simple and easy;
4.测量方便,速度快,成本低。4. The measurement is convenient, fast and low cost.
附图说明Description of drawings
以下附图描述了本发明所选则的实施例,均为示例性图而非穷举或限制性,其中:The following drawings describe selected embodiments of the present invention, all of which are illustrative and not exhaustive or limiting, wherein:
图1本发明的测量方法中超声多普勒传感器结构示意图;The structure schematic diagram of ultrasonic Doppler sensor in the measurement method of the present invention in Fig. 1;
图2本发明的测量方法中电导环传感器结构示意图;In Fig. 2 measurement method of the present invention, the structural representation of conductance ring sensor;
图3本发明测量方法中弹状流单元结构示意图;Schematic diagram of the structure of the slug flow unit in the measuring method of the present invention in Fig. 3;
图4本发明的测量方法中经验模态分解流程图;Empirical mode decomposition flowchart in the measuring method of the present invention in Fig. 4;
图5本发明的测量方法中弹状流结构流速的计算步骤。Fig. 5 is the calculation steps of the flow velocity of the slug flow structure in the measurement method of the present invention.
具体实施方式detailed description
下面结合说明书图详细说明本发明的实施例。Embodiments of the present invention will be described in detail below in conjunction with the drawings.
图1为本发明的测量方法中连续波超声多普勒传感器的结构示意图。本发明专利所用超声多普勒探头采用收发一体的双晶超声波换能器,其内部包含一个发射压电陶瓷晶片3a和一个接收压电陶瓷晶片3b,分别附着在声电耦合材料3c和3d上。声电耦合材料直接与流体接触,并与水平管道1之间以夹角θ0安装,使超声波束通路与两相流2的来流方向0保持夹角θ。所述声电耦合材料3c和3d之间加入了隔声材料4以防止发射和接收声波之间产生干扰。所述双晶超声波换能器安装于水平管道底部。发射压电陶瓷晶片3a发射超声波,声波在流体2中传播,收到测量空间5内的离散相反射和散射后由接收压电陶瓷晶片3b接收。接收声波与发射声波之间的频差反映测量空间5内流体的流速信息。Fig. 1 is a schematic structural diagram of a continuous wave ultrasonic Doppler sensor in the measurement method of the present invention. The ultrasonic Doppler probe used in the patent of the present invention adopts a dual-crystal ultrasonic transducer with integrated transceiver, which contains a transmitting piezoelectric ceramic chip 3a and a receiving piezoelectric ceramic chip 3b, which are respectively attached to the acoustic-electric coupling materials 3c and 3d . The acoustic-electric coupling material is in direct contact with the fluid, and is installed at an angle θ0 between the horizontal pipe 1, so that the ultrasonic beam path and the incoming flow direction 0 of the two-phase flow 2 maintain an angle θ. A sound-insulating material 4 is added between the acoustic-electric coupling materials 3c and 3d to prevent interference between transmitting and receiving sound waves. The dual-crystal ultrasonic transducer is installed at the bottom of the horizontal pipeline. The transmitting piezoelectric ceramic chip 3 a emits ultrasonic waves, and the sound wave propagates in the fluid 2 , and is received by the receiving piezoelectric ceramic chip 3 b after being reflected and scattered by the discrete phase in the measurement space 5 . The frequency difference between the received sound wave and the emitted sound wave reflects the flow velocity information of the fluid in the measurement space 5 .
图2为本发明的测量方法中电导环传感器的结构示意图。本发明专利所用电学传感器由四个环形金属电极(1,2,3,4)镶嵌在管道内壁0中组成,其中电极1和电极4为激励电极对,电极2和电极3为测量电极对。通过向电极1中注入恒定的方波激励电流并将电极4接地,可在电极1和4中间形成稳定的电学敏感场。当流体流过敏感场时介质含率和分布变化时,电极2和电极3之间的电势差发生变化,通过测量该电势差可实现流体含率的测量。Fig. 2 is a structural schematic diagram of the conductance ring sensor in the measuring method of the present invention. The electrical sensor used in the patent of the present invention consists of four ring-shaped metal electrodes (1, 2, 3, 4) embedded in the inner wall 0 of the pipeline, wherein electrodes 1 and 4 are excitation electrode pairs, and electrodes 2 and 3 are measurement electrode pairs. By injecting a constant square-wave excitation current into electrode 1 and grounding electrode 4, a stable electrical sensitive field can be formed between electrodes 1 and 4. When the medium holdup and distribution change when the fluid flows through the sensitive field, the potential difference between electrode 2 and electrode 3 changes, and the measurement of the fluid holdup can be realized by measuring the potential difference.
图3为本发明的测量方法中弹状流单元结构示意图。所述气液弹状流单元结构包括液弹区2和气弹区3,且液弹区2中流体的湍流强度和流速比气弹区3的高。由于液弹区的头部不断拾起从前一个液弹中脱落的液体,高速的液体与低速的液体融合时在液弹的前端形成高速的涡流,大量离散的气泡分布在液相当中,此部分为混合区1。在液弹的尾部液体由于重力作用不断回归液膜区4,这一阶段中液体经历较快的减速过程。在气弹的前端,气液分界面的波动较强,造成液滴夹带,随着时间的推移,流体流动逐渐平稳,近似波状流缓慢流动。所述弹状流单元结构中液弹区2的开始时刻为T1,混合区1的停止时刻为T2、气弹区3的开始时刻为T3以及气弹区3的停止时刻(下一液弹区的开始时刻)为T4。所述弹状流单元结构中液弹的传播速度为VT,液弹区2的平均速度为VS,液膜区4的平均流速为Vf。Fig. 3 is a schematic diagram of the structure of the slug flow unit in the measurement method of the present invention. The gas-liquid slug flow unit structure includes a liquid elastic area 2 and an air elastic area 3 , and the fluid turbulence intensity and flow velocity in the liquid elastic area 2 are higher than those in the air elastic area 3 . Since the head of the liquid bomb area continuously picks up the liquid that fell off from the previous liquid bomb, when the high-speed liquid merges with the low-speed liquid, a high-speed vortex is formed at the front end of the liquid bomb, and a large number of discrete bubbles are distributed in the liquid phase. For Mixed Zone 1. At the tail of the liquid bomb, the liquid continuously returns to the liquid film area 4 due to gravity, and the liquid experiences a faster deceleration process in this stage. At the front end of the gas bomb, the fluctuation of the gas-liquid interface is strong, resulting in entrainment of liquid droplets. As time goes by, the fluid flow gradually stabilizes, and it flows slowly like a wavy flow. In the slug flow unit structure, the start time of the liquid elastic zone 2 is T1, the stop time of the mixing zone 1 is T2, the start time of the aeroelastic zone 3 is T3 and the stop time of the aeroelastic zone 3 (next The start time of the liquid elastic zone) is T 4 . The propagation velocity of the liquid bomb in the slug flow unit structure is V T , the average velocity of the liquid elastic zone 2 is V S , and the average velocity of the liquid film zone 4 is V f .
图4为本发明的测量方法中经验模态分解流程图。经验模态分解是一种自适应的时频分析方法,通过筛选的过程将信号x(t)中存在的不同尺度的波动逐级分开,产生一系列具有不同尺度的本征模函数(IMF),直到剩余值序列rn(t)为单调函数停止分解。其中每个IMF需要满足两个基本条件:1)信号极值点的数量(包括极大值点和极小值点)与过零点的数量相等,或至多相差1;2)信号在任意时间点上,局部极大值确定的上包络线和局部极小值点确定的下包络线均值为零,信号关于时间轴局部对称。以上所述条件为每次筛选过程的停止条件。Fig. 4 is a flow chart of empirical mode decomposition in the measurement method of the present invention. Empirical mode decomposition is an adaptive time-frequency analysis method. Through the screening process, the fluctuations of different scales in the signal x(t) are separated step by step, and a series of intrinsic mode functions (IMF) with different scales are generated. , stop decomposing until the residual value sequence r n (t) is a monotone function. Each IMF needs to meet two basic conditions: 1) the number of signal extreme points (including maximum and minimum points) is equal to the number of zero-crossing points, or at most the difference is 1; 2) the signal is at any time point The mean value of the upper envelope determined by the local maximum and the lower envelope determined by the local minimum point is zero, and the signal is locally symmetrical about the time axis. The conditions mentioned above are the stopping conditions of each screening process.
图5为本发明超声与电学组合传感器获得弹状流结构流速的计算步骤流程图。下面以气水两相流为例,本发明的电学、超声数据联合分析方法获取弹状流结构流速的计算步骤如下:Fig. 5 is a flow chart of calculation steps for obtaining the flow velocity of a slug flow structure by the ultrasonic and electrical combined sensor of the present invention. Taking the gas-water two-phase flow as an example, the calculation steps for obtaining the flow velocity of the slug flow structure by the electrical and ultrasonic data joint analysis method of the present invention are as follows:
步骤1:采集电学传感器的含水率信号H(t),t∈(0,T)和超声传感器的多普勒频移信号fd(t),t∈(0,T),其中T为采样时间;Step 1: Collect the water content signal H(t), t ∈ (0, T) of the electrical sensor and the Doppler frequency shift signal f d (t), t ∈ (0, T) of the ultrasonic sensor, where T is the sampling time;
步骤2:根据含水率信号对气液弹状流的流体进行区域划分。Step 2: According to the water cut signal, the fluid of gas-liquid slug flow is divided into regions.
1)计算采样时间内的含水率均值将thH作为含率阈值对流体进行一次区域划分:若某时刻下含水率大于thH,则该时刻下的含率为液弹区流过电学传感器时的含水率,否则该时刻下的含率为气弹区流过电学传感器时的含水率,即1) Calculate the average value of moisture content within the sampling time Use th H as the holdup threshold to divide the fluid once: if the water cut at a certain moment is greater than th H , then the holdup at that moment is the water cut when the liquid elastic region flows through the electrical sensor, otherwise the holdup at this moment is The rate is the water content when the aeroelastic region flows through the electrical sensor, that is
其中Hnl,Hng分别为液弹区和气弹区的含水率序列;Among them, H nl and H ng are the water content series of the liquid elastic region and the gas elastic region respectively;
2)利用Hnl、Hng分别计算液弹区含水率均值和气弹区的含水率均值 与其中Tl,Tg分别为在采样时间内液弹区和气弹区经历的时间。将与作为含率阈值对流体进行二次区域划分:若某时刻含水率小于则该时刻为气弹区通过电学传感器,若某时刻含水率大于且小于则该时刻为混合通过电学传感器,否则为液弹区通过电学传感器,即2) Use H nl and H ng to calculate the average water content in the liquid elastic zone and the average water content in the aeroelastic zone and Among them, T l and T g are the time experienced in the liquid elastic region and the gas elastic region respectively within the sampling time. Will and As the holdup threshold, the fluid is divided into two regions: if the water cut at a certain moment is less than Then at this moment, the aeroelastic zone passes through the electrical sensor. If the water content at a certain moment is greater than and less than Then at this moment, the mixture passes through the electrical sensor, otherwise, the liquid elastic zone passes through the electrical sensor, that is,
由此可分别获取液弹区的开始时刻T1,混合区的停止时刻T2、气弹区的开始时刻T3以及气弹区的停止时刻(下一液弹区的开始时刻)T4;Thus, the start time T1 of the liquid - elastic zone, the stop time T2 of the mixing zone, the start time T3 of the aeroelastic zone, and the stop time of the aeroelastic zone (the start time of the next liquid - elastic zone) T4 can be obtained respectively;
步骤3:基于经验模态分解的方法对多普勒频移信号进行分解,并提取弹状流的结构流速。Step 3: Decompose the Doppler frequency shift signal based on the method of empirical mode decomposition, and extract the structural velocity of the slug flow.
1)对多普勒频移信号fd(t),t∈(0,T)去噪。一般情况下,多普勒频移信号中包含高频噪声的成分,严重影响分析精度,因此需要进行去噪。首先利用经验模态分解的方法,将超声多普勒频移信号fd(t),t∈(0,T)逐级分解为若干本征模态函数IMFj(t),j=1,2,...,n和趋势函数rn(t)的和:1) Denoising the Doppler frequency shifted signal f d (t), t ∈ (0, T). In general, the Doppler frequency shift signal contains high-frequency noise components, which seriously affect the analysis accuracy, so denoising is required. First, using the empirical mode decomposition method, the ultrasonic Doppler frequency shift signal f d (t), t∈(0, T) is decomposed step by step into several intrinsic mode functions IMF j (t), j=1, The sum of 2,...,n and the trend function r n (t):
其中n为本征模态函数个数。值得注意的是,经验模态分解的本质是筛选过程,筛选的终止条件,即每个IMF需要满足两个基本条件很难满足,一般需要按照柯西收敛准组,通过限定相邻分解结果之间的标准差SD终止筛选,即:where n is the number of eigenmode functions. It is worth noting that the essence of empirical mode decomposition is a screening process. The termination condition of screening, that is, each IMF needs to meet two basic conditions is difficult to meet. Generally, it is necessary to follow the Cauchy convergence quasi-group, by limiting the The standard deviation SD between terminates the screening, that is:
其中,h1,k-1,h1,k是筛选过程中连续两个分解结果序列,SD一般在0.2-0.3范围内取值,且它的选择会影响所分解出的本征模态函数的个数。利用互相关方法计算各本征模态函数与原多普勒频移信号的相关系数,相关系数越大,则表明该本征模态函数越能体现信号的最显著特征。因此根据实际高频噪声情况选择相关系数阈值thcc,选择前m级高频本征模态函数分量进行判断:若前m级高频本征模态函数分量与原多普勒频移信号的相关系数小于thcc,则选择去除,否则保留。一般情况下,高频噪声因频率最高被最先分解出来,且与原多普勒频移信号的相关系数较小,因此m一般取值为3-4,thcc一般取值为0.2-0.3。然后将前m级中与原多普勒频移信号的相关系数大于或等于thcc的本征模态函数、剩余的n-m级本征模态函数以及趋势函数rn(t)进行加和,重新组合成新的待处理信号fd'(t),t∈(0,T);Among them, h 1,k-1 , h 1,k are two consecutive decomposition result sequences in the screening process, SD generally takes a value in the range of 0.2-0.3, and its selection will affect the decomposed intrinsic mode function the number of . The correlation coefficient between each eigenmode function and the original Doppler frequency shift signal is calculated by using the cross-correlation method. The larger the correlation coefficient is, the more the eigenmode function can reflect the most significant feature of the signal. Therefore, according to the actual high-frequency noise situation, the correlation coefficient threshold th cc is selected, and the first m high-frequency eigenmode function components are selected for judgment: if the first m high-frequency eigenmode function components and the original Doppler shift signal If the correlation coefficient is less than th cc , choose to remove, otherwise keep. In general, high-frequency noise is decomposed first because of the highest frequency, and the correlation coefficient with the original Doppler frequency shift signal is small, so m generally takes a value of 3-4, and th cc generally takes a value of 0.2-0.3 . Then add the eigenmode functions whose correlation coefficient with the original Doppler frequency shift signal in the first m levels is greater than or equal to th cc , the remaining nm-level eigenmode functions and the trend function r n (t), Recombine into a new signal to be processed f d '(t),t∈(0,T);
2)将新的待处理信号fd'(t),t∈(0,T)进行二次经验模态分解,则信号可以表示为若干本征模态函数IMFi(t),i=1,2,...,N和趋势函数rN(t)的和:2) Decompose the new signal to be processed f d '(t), t∈(0, T) into quadratic empirical mode decomposition, then the signal can be expressed as several intrinsic mode functions IMF i (t), i=1 ,2,...,N and the sum of the trend function r N (t):
其中N为二次分解时本征模态函数个数。在各个IMFi(t)中包含的是信号从高到低的不同频率段成分,每个IMF代表的是原始信号中不同的时间-尺度特征成分。由于经验模态分解方法又可称为主成分分析方法,通常情况下,二次分解得到的前级本征模态函数分量往往集中了信号中最显著、最重要的信息。因此选择确定前4级本征模态函数IMFj(t),j=1,2,3,4作为主分量;Where N is the number of intrinsic mode functions in the second decomposition. Each IMF i (t) contains different frequency components from high to low of the signal, and each IMF represents a different time-scale feature component in the original signal. Because the empirical mode decomposition method can also be called the principal component analysis method, under normal circumstances, the previous eigenmode function components obtained by the secondary decomposition often concentrate the most significant and important information in the signal. Therefore, the first four eigenmode functions IMF j (t), j=1, 2, 3, 4 are selected as the principal components;
3)利用短时傅里叶变换的方法对主分量进行时频分析,结合步骤2中由含水率信号对流体的分区结果,确定主分量分别反映出的流体的结构流速。经过电学、超声信息的联合分析,确定第一级本征模态函数IMF1(t)为最高频成分,出现在液弹区的头部,反映弹状流中液弹的传播速度;第二级本征模态函数IMF2(t)覆盖基本覆盖液弹区,和第一级本征模态函数IMF1(t)一起反映液弹区的平均流速;第三级和第四级本征模态函数IMF3(t)&IMF4(t)出现在液膜区,与液滴夹带情况相关,反映液膜区内流体流速;3) Use the short-time Fourier transform method to conduct time-frequency analysis on the principal components, and combine the results of the partitioning of the fluid by the water content signal in step 2 to determine the structural flow velocity of the fluid reflected by the principal components. Through the combined analysis of electrical and ultrasonic information, it is determined that the first-order intrinsic mode function IMF 1 (t) is the highest frequency component, which appears at the head of the liquid-elastic region and reflects the propagation velocity of the liquid-elastic in the slug flow; The second-order intrinsic mode function IMF 2 (t) covers the basic coverage of the liquid elastic region, and the first-order intrinsic mode function IMF 1 (t) together reflects the average flow velocity of the liquid-elastic region; the third and fourth-order intrinsic mode functions The eigenmode functions IMF 3 (t) & IMF 4 (t) appear in the liquid film region, which are related to the droplet entrainment and reflect the fluid velocity in the liquid film region;
4)对第一级本征模态函数分量进行快速傅里叶变换并计算液弹头部(混合区)时间范围内的多普勒平均频移:对第一级和第二级本征模态函数分量的加和进行快速傅里叶变换并计算液弹区时间范围内的多普勒平均频移对第三级和第四级本征模态函数分量的加和进行快速傅里叶变换并计算液膜时间范围内的多普勒平均频移其中fd1,fd2,fd3分别为IMF1(t)+IMF2(t),IMF3(t)+IMF4(t)对应频率,即不同尺度下的超声多普勒频移,Sd1(fd1),Sd2(fd2),Sd3(fd3)分别为其对应的能量谱强度,T1,T2,T3,T4均由步骤2获得。4) Perform fast Fourier transform on the first-order eigenmode function components and calculate the Doppler average frequency shift within the time range of the liquid warhead (mixing region): Fast Fourier transform the sum of the first and second order eigenmode function components and calculate the Doppler mean frequency shift over the time scale of the hydroelastic region Fast Fourier transform the sum of the third and fourth order eigenmode function components and calculate the Doppler mean frequency shift over the time scale of the liquid film Where f d1 , f d2 , f d3 are respectively The corresponding frequency of IMF 1 (t)+IMF 2 (t), IMF 3 (t)+IMF 4 (t), that is, the ultrasonic Doppler shift at different scales, Sd1(f d1 ), S d2 (f d2 ) , S d3 (f d3 ) are their corresponding energy spectrum intensities, and T 1 , T 2 , T 3 , T 4 are all obtained from step 2.
5)根据多普勒效应的基本原理,计算弹状流的结构流速:其中液弹的传播速度为:液弹的平均速度(同时为弹状流的总表观流速)为:液膜区的平均流速为:其中f0为超声波反射探头的激励频率,θ为超声波声束方向与水平方向的夹角,c为流体中声速。5) According to the basic principle of the Doppler effect, calculate the structural velocity of the slug flow: where the propagation velocity of the liquid bomb is: The average velocity of the liquid bomb (and at the same time the total superficial velocity of the slug flow) is: The average flow velocity in the liquid film region is: Where f 0 is the excitation frequency of the ultrasonic reflection probe, θ is the angle between the direction of the ultrasonic beam and the horizontal direction, and c is the speed of sound in the fluid.
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