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黏性介质内部质点振动瞬态过程及其应用

Transient Vibrational Behavior of Particles Inside Viscous Media and Its Applications
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摘要 为了探究黏性介质内部质点振动的瞬态过程及其频谱特性,明确内在噪声的产生机制与应用价值,采用阻尼振荡弹簧振子模型,推导黏性固体介质内部质点的声学冲击响应和系统函数,基于内在噪声元和线性叠加原理,分析多频力作用下质点的运动状态,提出多频内在噪声概念及提取方法,并以页岩、T-砂岩(Tayler Sandstone)、O-页岩(Oil Shale)为样本进行数值模拟。研究结果表明:①静止质点在单频简谐力作用下从静止到稳态振动,以及简谐力消失后从稳态到静止的两个瞬态过程的频谱为内在噪声,据此提出内在噪声元及多频内在噪声概念。②单频简谐力作用时,质点振动含瞬态过渡和稳态正弦振动,幅度谱含作用力频率(冲激脉冲)和内在噪声频率(宽频),中心频率处相位有180°突变,频率越靠近中心频率,瞬态持续时间越短、幅度越大。③多频力作用时,各频率分量对应不同瞬态和稳态,频率远离中心频率时瞬态持续时间长,等于中心频率时瞬态最短、幅度最大。④不同介质中心频率不同(O-页岩2.129 MHz,T-砂岩1.695 MHz,页岩1.382 MHz),刚度越大中心频率越大,黏性增加则幅度谱幅值减小,单频力更易提取内在噪声信息。结论认为,内在噪声与黏性固体的物理特性(黏度、刚度等)和内部结构密切相关,可通过提取内在噪声反演介质物理特性及内部结构异常,为建立新的集总质点振动传输网络模型奠定基础,在随钻声波测井等领域具有潜在应用价值。 To explore the transient process of particle vibration inside viscous media and its spectral characteristics,and clarify the generation mechanism and application value of intrinsic noise,a damped oscillation spring oscillator model is adopted to derive the acoustic impulse response and system function of particles inside viscous solid media.Based on intrinsic noise elements and the principle of linear superposition,the motion state of particles under multi-frequency forces is analyzed,the concept of multi-frequency intrinsic noise and its extraction method are proposed,and numerical simulations are conducted with shale,T-Sandstone(Tayler Sandstone),and O-Shale(Oil Shale)as samples.The research results show that:①The spectra of the two transient processes,i.e.,a stationary particle transitioning from rest to steady vibration under a single-frequency harmonic force and from steady vibration to rest when the harmonic force disappears,are intrinsic noise,based on which the concepts of intrinsic noise element and multi-frequency intrinsic noise are proposed.②Under the action of a single-frequency harmonic force,particle vibration includes transient transition and steady sinusoidal vibration,with the amplitude spectrum containing the force frequency(impulse pulse)and intrinsic noise frequency(broadband),there is a 180°phase mutation at the center frequency,and the closer the frequency is to the center frequency,the shorter the transient duration and the larger the amplitude.③Under multi-frequency forces,each frequency component corresponds to different transient and steady states,when the frequency is far from the center frequency,the transient duration is long,and when equal to the center frequency,the transient duration is the shortest and the amplitude is the largest.④Different media have different center frequencies(2.129 MHz for O-Shale,1.695 MHz for T-Sandstone,1.382 MHz for shale),the greater the stiffness,the larger the center frequency,the increase in viscosity reduces the amplitude of the amplitude spectrum,single-frequency forces make it easier to extract intrinsic noise information.It is concluded that intrinsic noise is closely related to the physical properties(viscosity,stiffness,etc.)and internal structure of viscous solids.The extracted intrinsic noise can invert the physical properties and internal structural abnormalities of the medium,laying a foundation for establishing a new particle vibration transmission network model and having potential applications in fields such as logging while drilling.
作者 法林 孟爽爽 陈文辉 时鹏 崔新豪 陈超 杨慧婷 邱杰 李瑾玥 徐渝林 赵梅山 FA Lin;MENG Shuangshuang;CHEN Wenhui;SHI Peng;CUI Xinhao;CHEN Chao;YANG Huiting;QIU Jie;LI Jinyue;XU Yulin;ZHAO Meishan(School of Information Engineering,Xi'an Fanyi University,Xi'an,Shaanxi 710105,China;School of Electronic Engineering,Xi'an University of Posts and Telecommunications,Xi'an,Shaanxi 710121,China;Logging Technology Institute,China National Logging Corporation,Xi'an,Shaanxi 710077,China;Well Logging Key Laboratory,China National Petroleum Corporation,Xi'an,Shaanxi 710077,China;Shaanxi Huachen Petroleum Technology CO.LTD.,Xi'an,Shaanxi 710117,China;School of Education,Xi'an Fanyi University,Xi'an,Shaanxi 710105,China;The Department of Chemistry,The University of Chicago,Chicago,Illinois 60637,USA;James Franck Institute,Chicago,Illinois 60637,USA)
出处 《测井技术》 2025年第4期487-499,共13页 Well Logging Technology
基金 国家自然科学基金项目“声波反射/折射物理现象的理论研究、实验验证及其应用”(41974130) 国家自然科学基金项目“岩石各向异性对地震勘探正演模型和反演解释的影响”(40974078)。
关键词 固体黏性 阻尼衰减 质点振动 瞬态过程 内在噪声 多频内在噪声 系统函数 冲激响应 solid viscosity damping attenuation particle vibration transient process intrinsic noise multi-frequency intrinsic noise system function impulse response
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