Dynamic microplasticity manifestation in consolidated sandstone in the acoustical frequency range

Microplasticity manifestations caused by acoustic wave in the frequency range of about 4.5 kHz–7.0 kHz are detected in consolidated artificial sandstone. Equipment was tested by means of comparison of data obtained for a standard material (aluminium) and sandstone. Microplasticity manifestations in acoustic records are present in the form of ladder‐like changes in the amplitude course. The stress plateaus in the acoustic trace interrupt the amplitude course, transform the wavefront, and shift the arrival time along the time axis. Microplasticity contribution to the acoustic record changes with the increase in the strain amplitude value. The combined elastic–microplastic process conditions the wavefront steepness and its duration. Stress plateaus exert influence on the waveform and, accordingly, on pulse frequency response. These results confirm the earlier data obtained for weakly consolidated rock. This contribution to wave propagation physics can be useful in solving applied problems in material science, seismic prospecting, diagnostics, etc.     

EXPERIMENTAL STUDY ON THE CHANGES OF ULTRASONIC CODA WAVE AND ACOUSTIC EMISSION DURING ROCK LOADING AND DEFORMATION

The coda wave propagation path has received extensive attention as it is more sensitive to small changes in the medium than the direct wave. During the process of loading, the wave velocity, medium or source changes may cause the coda wave to change. The physical mechanism of change in the ultrasonic coda wave varies during different deformation stages. Meanwhile, there exist local damages in the rock sample during the deformation, and it will be accompanied by acoustic emission. Combining the ultrasonic coda wave and acoustic emission is beneficial to characterize the coda wave characteristics and damage degree of the sample at different deformation stages. In this paper, three kinds of rocks, including granodiorite, marble and sandstone with the sizes of 50mm×50mm×150mm, are used to carry out observations of ultrasonic coda wave and acoustic emission during the whole process of loading so as to study characteristics of the coda wave at different deformation stages. The major results are given below: 1)There is a good correspondence between the coda wave variation and the acoustic emission evolution process. When the acoustic emission frequency increases, the coda wave changes accordingly. In particular, the coda wave changes in the early stages of increased acoustic emission frequency, which indicates that the early damage information of rock can be obtained by analysis of the coda wave. 2)The physical mechanism of the coda wave change is different in different deformation stages. At the initial stage of loading, there are obvious scatterer changes in the coda wave change; then, in the linear elastic deformation stage, the wave velocity change is dominating; in the late-stage of loading, the scatterer change increases and coexists with the wave velocity change, the scatterer change effect is related with the rock micro-fracture degree, the rock will locally be damaged before rupturing, and the role of the scatterer will be enhanced. 3)With the increase of loading, the amplitude of increase of the wave velocity generally decreases gradually, which is basically consistent with the understanding obtained through the direct wave. The interference of acoustic emission can be eliminated because of the Kaiser effect when analyzing the coda wave. The consistency of the wave velocity change and stress loading and unloading is further verified. 4)The micro-fracture generated during rock deformation will change the physical mechanism of the coda wave change, and the scatterer effect will be significantly enhanced. At the same time, the acoustic emission waveform will cause interference to the ultrasonic coda wave. This means that attention needs to be paid when analyzing rock damage using only coda wave data. In short, the ultrasonic coda wave and acoustic emission can reflect the damage inside the rock, and the change mechanism of the coda wave in different deformation stages is different. The joint observation of the two can play a mutual verification role, which is conducive to improving the reliability of the observation results.     

单极源钻铤波传播机制的实验研究2

随钻情况下准确测量地层的纵波速度是当前声波测井领域亟待解决的技术难点之一,本文则针对地层纵波速度的随钻测量问题,在实验室内进行了缩小模型的随钻声波测井实验研究.首先,针对无限大流体模型,记录不同声源频率下单极源钻铤波的时域波形,研究钻铤内外两区域钻铤波的传播规律,定量分析这两部分钻铤波的频率响应特性.结果表明,随着声源激励频率的逐渐提高,钻铤波幅度呈现出先增大后减小的趋势,且中心频率两侧钻铤波幅度的变化规律不同.之后,针对小尺寸砂岩井孔模型,进行单极源随钻声波测井实验测量,进而比较两种模型下钻铤波的幅值差异性.最后,基于随钻声波测井原理和钻铤波的能量分布规律,提出一种地层纵波速度的提取方法,并进一步利用实测数据验证方法的可行性.结果表明:即使在钻铤不刻槽的情况下,通过能量剔除的方式亦可极大削弱测井全波中钻铤波的幅度,从而实现对地层纵波速度的准确测量.     

致密砂岩水压瞬态致裂液化格子波尔兹曼及有限元数值研究

水压瞬态致裂液化在地应力测量、 地震破坏评估和机理研究、 油气(天然气、 页岩气)及地热资源开发等地学领域都具有重要的理论和应用价值。 自20世纪60年代至今在理论和实际应用方面取得了一些奠基性和开创性成果, 但鉴于问题复杂性, 瞬态致裂液化机理至今尚不清楚。 本研究应用格子波尔兹曼及有限元多孔介质流固耦合物理模型, 对地震波载荷作用下致密砂岩水压瞬态致裂液化过程进行数值模拟研究。 首先, 以鄂尔多斯盆地某油田延长组致密砂岩为例, 利用X射线CT断层成像技术, 应用基于量子力学第一性原理格子波尔兹曼方法, 建立致密砂岩数字岩芯模型。 进而, 推导格子波尔兹曼及有限元多孔介质流固耦合数值模型公式, 建立致密砂岩水压致裂液化物理模型。 最后, 应用地震波载荷边界和初始条件, 模拟瞬态致裂液化流固耦合过程, 讨论了地震波载荷幅值、 频率及作用时间对致密砂岩孔隙结构(孔隙度大小及连通性)、 致密砂岩破裂最大主应力之间关系, 得到了地震波作用下致密砂岩致裂液化准则。     

多极源随钻声波测井实验分析

本文针对随钻声波测井中钻铤波干扰地层声波测量的问题,设计了小尺寸随钻声波测井探头,在实验室内开展了多极源(单极源、偶极源和四极源)随钻声波测井实验研究.先在水池中对裸露的探头进行了随钻测量,记录到了沿钻铤传播的直达钻铤波,并获得了不同声源激发的钻铤波速度.之后在砂岩和有机玻璃模型中进行了随钻声波测井实验,观测到多极源随钻测井的全波波形,并通过与水池中实验结果的对比,分析了井中钻铤波的传播特性.特别地,在偶极随钻测井实验中不仅记录到了偶极一阶钻铤波,还观测到对弯曲波干扰较大的偶极二阶钻铤波,进而研究了不同声源频率下该波群的响应特性及其对弯曲波测量的影响.此外,基于单极源和偶极源随钻声波测井实验数据,本文发现:随着声源频率的增加,单极和偶极钻铤波的传播特性不同,但它们在测井全波中的相对幅度均降低,进而可从测井全波中较好地提取地层的声波速度.本文实验结果对随钻声波测井仪器设计及测井数据解释具有重要意义.     

低渗砂泥岩地层的声波测井波形特征

用于低渗砂岩油气开发的压裂需要地层的纵横波时差参数;压裂形成的人工裂缝或砂泥岩中的自然裂缝是油气流入井中的主要通道.声波测井是测量地层的纵横波时差、探测连通裂缝的有效方法.本文给出了新设计的偶极子组合声波测井仪器在低渗砂泥岩地层所测量的波形.新仪器利用声波在井内传播的固有频率设计探头,利用探头阻抗随频率的变化曲线设计匹配电路,有效地提高了声发射功率,在井下采用16位A/D转换器提高了原始波形的采样精度.测量的波形比通常的声波测井波形所含的地层信息丰富.单极子长源距声波测井波形中除了通常的纵、横波和Stoneley波外,还发现了起始于纵波首波的反射波以及随深度改变其到达时间的后续波.通过与其它测井曲线综合对比发现:其反射波与井眼扩径有关,使测量的声波时差加大;后续波在显示地层特征的同时,与横波混叠在一起,使横波时差的提取变得困难.另外,在偶极子所测量的低频波形中也发现了明显的反映地层连通裂缝的反射波,该反射波可以用于指示低渗砂岩地层中的连通裂缝.     

大功率高频电波加热电离层中参量衰减不稳定性研究(2):EISCAT实验观测

本文利用欧洲非相干散射雷达协会(European Incoherent Scatter Scientific Association,EISCAT)的两次加热实验诊断数据,基于我们在文章(1)中建立的数值模型,定量分析了实验过程中出现参量衰减不稳定性(Parametric decay instability,PDI)的物理过程.分析结果如下:(1)通过对两次加热实验数据的分析,均观测到了增强的等离子体谱线(HFPLs)和离子声波谱线(HFILs),谱线的频率和加热电波频率满足频率匹配条件,表明电离层加热过程中参量衰减不稳定性的激发.(2)通过对加热电波反射区电子密度和离子密度模拟数据的谱分析,可以清晰发现与实验结果相符的朗缪尔波和离子声波.实验1观测到的离子声波谱线频率为8.8 kHz,而模拟得到的离子声波在5～6 kHz,实验2观测到的离子声波谱线为7.1 kHz,而模拟得到的离子声波频率在5.5～6 kHz,模拟结果与实验观测比较一致.(3)实验观测和模拟结果均表明,在参量衰减不稳定性激发过程中,加热电波频率(f_h)与等离子谱线频率和离子声波谱线频率(f_(ia))并不是简单匹配,实验1观测到的等离子体谱线频率为f_h-3f_(ia),实验2观测到的等离子体谱线增强频率为f_h—f_(ia)和f_h—3f_(ia).这一结果表明在加热过程中出现了多次参量衰减的现象,从而为朗缪尔湍流的激发提供了条件.     

Frequency-dependence of velocity and attenuation of elastic waves in granite under uniaxial compression

Velocity as well as attenuation factorQ ^–1 ofP-wave in a dry granitic rock sample under uniaxial compressions were measured in the range of frequency between 100 kHz and 710 kHz by using the pulse transmission technique. Above the stress of 0.5 _f , where _f is the fracture stress, theP-wave velocity decreases with increasing axial stress, whereasQ ^–1 increases. Particularly, the change ofQ ^–1 is greater for high frequency than for low frequency. At a given stress level, the higher the frequency, the higher theP-wave velocity and the largerQ ^–1. This result means that the velocity decrease with increasing stress is smaller for higher frequency. Because of this frequency-dependence of velocity decrease, theP-wave in the rock under dilatant state shows dispersion. The body wave dispersion is more remarkable at higher stress, and is not found in a homogeneous material with no cracks. Thus the disperison is attributed to the generation of cracks. When the frequency-dependence ofQ ^–1 is approximated asf ⁿ in the present frequency range, the exponentn takes a value from 0.63 to 0.77.     

利用井中低频偶极横波进行声波远探测的新方法

为了突破目前声波远探测技术存在的局限性,提出了一种新的偶极横波远探测方法,即利用井中偶极子产生的井中弯曲波存在低频截止频率的现象,在声源截止频率以下激发偶极声波.通过对比分析井中偶极声源分别在截止频率上、下激发时,井孔内外产生的辐射声场,明确了截止频率以下井中偶极声源的远场辐射特征和低频截止频率激发偶极横波的优势,结合数值模拟,进一步对其反射声场进行了分析.结果表明,该方法可以避免艾里相的巨大振幅对数据量化产生的"饱和"效应,相比传统的远探测测井方式更具优势,常规源距即可满足专门的远探测测井仪器需求.     

Effect of sub‐core scale heterogeneities on acoustic and electrical properties of a reservoir rock: a CO2 flooding experiment of brine saturated sandstone in a computed tomography scanner

The effect of sub‐core scale heterogeneity on fluid distribution pattern, and the electrical and acoustic properties of a typical reservoir rock was studied by performing drainage and imbibition flooding tests with CO₂ and brine in a laboratory. Moderately layered Rothbach sandstone was used as a test specimen. Two core samples were drilled; one perpendicular and the other parallel to the layering to allow injection of fluids along and normal to the bedding plane. During the test 3D images of fluid distribution and saturation levels were mapped by an industrial X‐ray CT‐scanner together with simultaneous measurement of electrical resistivity, ultrasonic velocities as well as amplitudes. The results showed how the layering and the flooding direction influenced the fluid distribution pattern and the saturation level of the fluids. For a given fluid saturation level, the measured changes in the acoustic and electrical parameters were affected by both the fluid distribution pattern and the layering orientation relative to the measurement direction. The P‐wave amplitude and the electrical resistivity were more sensitive to small changes in the fluid distribution patterns than the P‐wave velocity. The change in amplitude was the most affected by the orientation of the layering and the resulting fluid distribution patterns. In some instances the change due to the fluid distribution pattern was higher than the variation caused by the change in CO₂ saturation. As a result the Gassmann relation based on ‘uniform' or ‘patchy' saturation pattern was not suitable to predict the P‐wave velocity variation. Overall, the results demonstrate the importance of core‐imaging to improve our understanding of fluid distribution patterns and the associated effects on measured rock‐physics properties.     

一种利用双源反激的随钻声波测井方法

随钻单极子纵波测井时存在很强的钻铤波的干扰.针对这一问题,提出了一种双源反激随钻声波测井方法,从数据采集环节对钻铤波进行压制;在后续数据处理中结合声波干涉法,从而实现一种无需隔声装置的随钻声波测井方法.理论模拟表明双源反激方法可以有效压制钻铤波,地层波的信噪比也能得到相对增强.对钻铤波压制后的数据进一步用声波干涉法处理可以从中提取地层纵波信息.设计了实验样机,并在空气中进行了实验.结果表明不同工作频率下该方法对钻铤波均有明显的压制效果,即使在5kHz低频情况下钻铤波也能压制到原来的25%.验证了该方法的可行性.应用该方法的好处是可以避免对钻铤强度的破坏,并能扩展现有随钻声波测井仪纵波测量的工作频带范围.     

孔隙、裂隙介质弹性波理论的实验研究

近年来发展起来的“孔隙、裂隙介质弹性波理论”提高了人们对实际岩石声学性质的模拟和预测的能力.作为对这一理论的实验验证和重要应用,我们将它用来模拟和解释岩石超声实验中测得的干燥和饱和岩石弹性波速度随压力的变化曲线.理论模拟的重要参数,如岩石的裂隙密度等是从实验数据反演得到的.结果表明：无论是孔隙度较高的砂岩,还是孔隙度很小的致密岩石,如花岗岩,该理论都能很好地描述岩石在干燥和饱和状态下纵、横波速度随压力的变化.造成波速变化的原因是岩石中裂隙在压力作用下的闭合和裂隙密度的减少.本文的结果还指出了将岩石裂隙密度作为描述岩石的重要物性参数,并给出了从实验室超声测量中确定这一参数的方法.     

Seismoelectric measurements in a porous quartz‐sand sample with anisotropic permeability

Seismoelectric coupling coefficients are difficult to predict theoretically because they depend on a large numbers of rock properties, including porosity, permeability, tortuosity, etc. The dependence of the coupling coefficient on rock properties such as permeability requires experimental data. In this study, we carry out a set of laboratory measurements to determine the dependence of seismoelectric coupling coefficient on permeability. We use both an artificial porous “sandstone” sample, with cracks, built using quartz‐sand and Berea sandstone samples. The artificial sample is a cube with 39% porosity. Its permeability levels are anisotropic: 14.7 D, 13.8 D, and 8.3 D in the x‐, y‐, and z‐directions, respectively. Seismoelectric measurements are performed in a water tank in the frequency range of 20 kHz–90 kHz. A piezoelectric P‐wave source is used to generate an acoustic wave that propagates through the sample from the three different (x, y, and z) directions. The amplitudes of the seismoelectric signal induced by the acoustic waves vary with the direction. The highest signal is in the direction of the highest permeability, and the lowest signal is in the direction of the lowest permeability. Since the porosity of the sample is constant, the results directly show the dependence of seismoelectric coefficients on permeability. Seismoelectric measurements with natural rocks are performed using Berea sandstone 500 and 100 samples. Because the Berea samples are nearly isotropic in permeability, the amplitudes of the seismoelectric signals induced in the different directions are the same within the measurement error. Because the permeability of Berea 500 is higher than that of Berea 100, the amplitude of the seismoelectric signals induced in Berea 500 is higher than those in Berea 100. To determine the relative contributions of porosity and permeability on seismoelectric conversion, we carried out an analysis, using Pride (1994) formulation and Kozeny–Carman relationship; the normalized amplitudes of seismoelectric coupling coefficients in three directions are calculated and compared with the experimental results. The results show that the seismoelectric conversion is related to permeability in the frequency range of measurements. This is an encouraging result since it opens the possibility of determining the permeability of a formation from seismoelectric measurements.     

基于分数阶拉普拉斯算子解耦的黏声介质地震正演模拟与逆时偏移

时间域常Q黏声波方程,由于含分数阶时间导数项,数值求解需要大量内存,计算效率低,不利于地震偏移的实施.通过一系列近似,可将该方程简化为介质频散效应和衰减效应解耦的分数阶拉普拉斯算子黏声波方程,数值求解内存需求少,计算效率高.本文采用交错网格有限差分逼近时间导数,改进的伪谱法计算空间导数,PML吸收边界去除边界反射,对该方程进行数值离散和地震正演模拟,开展地震数据的黏声介质逆时偏移,实现波场逆时延拓过程中同时完成频散校正和衰减补偿.改善深层构造的成像精度,数值结果表明,基于分数阶拉普拉斯算子解耦的黏声介质地震正演模拟与逆时偏移可大幅度提高地震模拟计算效率,偏移剖面明显优于常规声波偏移剖面,极大改善深层构造的成像品质.     

Study on 3D simulation of wave fields in acoustic reflection image logging

The borehole acoustic reflection imaging logging is a newly developed acoustic logging method that has attracted many interests. These converted and reflected waves for imaging are usually mixed up with borehole guided waves and therefore difficult to be clearly identified. To improve the downhole tool design and develop more sophisticate data processing and interpretation algorithms,studies on precisely numerical modeling of the wave fields in the acoustic reflection imaging logging are neces-sary and critical. This paper developed a parallelized scheme of 3D finite difference (3DFD) with non-uniform staggered grid and PML absorbing boundary to simulate the acoustic wave fields in isotropic and anisotropic formations. Applications of this scheme to the typical cases of isotropic and anisot-ropic formations and comparison with the results from published analytical solutions have demon-strated the validation and efficiency of the scheme. Higher accuracy and lower computation cost (3.5 times faster than the conventional schemes) have been achieved with this scheme for modeling such a complex wave fields of 60 dB dynamic range with higher frequency (10 kHz). This simulating program provides a quantitative analytical means for studying acoustic reflection imaging tool and development of the data processing and interpretation methods.     

Estimation of frequency dependent coda wave attenuation structure at the vicinity of Cairo Metropolitan Area

Estimation of seismic wave attenuation in the shallow crust in terms of coda wave Q structure previously investigated in the vicinity of Cairo Metropolitan Area was improved using seismograms of local earthquakes recorded by the Egyptian National Seismic Network. The seismic wave attenuation was measured from the time decay of coda wave amplitudes on narrow bandpass filtered seismograms based on the single scattering theory. The frequency bands of interest are from 1.5 to 18 Hz. In general, the values obtained for various events recorded at El-Fayoum and Wadi Hagul stations are very similar for all frequency bands. A regional attenuation law Q _c = 85.66 f ^0.79 was obtained.     

Forced imbibition into a limestone: measuring P‐wave velocity and water saturation dependence on injection rate

Quantitative interpretation of time‐lapse seismic data requires knowledge of the relationship between elastic wave velocities and fluid saturation. This relationship is not unique but depends on the spatial distribution of the fluid in the pore‐space of the rock. In turn, the fluid distribution depends on the injection rate. To study this dependency, forced imbibition experiments with variable injection rates have been performed on an air‐dry limestone sample. Water was injected into a cylindrical sample and was monitored by X‐Ray Computed Tomography and ultrasonic time‐of‐flight measurements across the sample. The measurements show that the P‐wave velocity decreases well before the saturation front approaches the ultrasonic raypath. This decrease is followed by an increase as the saturation front crosses the raypath. The observed patterns of the acoustic response and water saturation as functions of the injection rate are consistent with previous observations on sandstone. The results confirm that the injection rate has significant influence on fluid distribution and the corresponding acoustic response. The complexity of the acoustic response —‐ that is not monotonic with changes in saturation, and which at the same saturation varies between hydrostatic conditions and states of dynamic fluid flow – may have implications for the interpretation of time‐lapse seismic responses.     

孔隙地层轻质水泥套管井中偶极弯曲波的激发与传播特性

针对软地层套管井中弯曲波频散移向高频,以致超出了现行偶极声波测井仪器的激发频带的问题,本文在井外为孔隙地层时,采用Biot模型对套管井多极源激发的声波场进行了理论推导,对套管井偶极弯曲波的频散特性进行了数值模拟,考察了高密度水泥(或快速水泥)和低密度水泥(或轻质水泥)情况下的弯曲波频散,分析了不同水泥环对弯曲波主频散区和激发谱偏移的影响,重点对轻质水泥套管井中偶极源激发的模式波频散与激发谱及临界折射P、S波激发特性进行了研究,并考察了渗透率、孔隙度对弯曲波频散及衰减的影响,利用实轴积分法计算了偶极声源激发的时域全波波形.分析对比结果表明,在快速水泥情况下弯曲波频散曲线随着地层特征横波速度的减小会迅速向高频移动,随着快速水泥向轻质水泥变化,弯曲波频散曲线向高频移动将会减缓,对于特征横波速度低于1400m·s~(-1)的软地层,偶极弯曲波基础模式主频散区(或截止频率)可以由原来13kHz向低频移动至4kHz;在轻质水泥套管井中,无论是硬地层还是软地层,在目前偶极声波测井仪器声源主频激发下,接收波形中弯曲波均占主导地位.     

Experimental measurements of the streaming potential and seismoelectric conversion in Berea sandstone

The streaming potential across a porous medium is induced by a fluid flow due to an electric double layer between a solid and a fluid. When an acoustic wave propagates through a porous medium, the wave pressure generates a relative movement between the solid and the fluid. The moving charge in the fluid induces an electric field and seismoelectric conversion. In order to investigate the streaming potential and the seismoelectric conversion in the same rock sample, we conduct measurements with Berea sandstone saturated by NaCl solutions with different conductivities. We measure the electric voltage (streaming potential) across a cylindrical sample in NaCl solutions with different conductivities and under different pressures to determine the DC coupling coefficients. We also measure the seismoelectric signals induced by acoustic waves with a Berea sandstone plate at different frequencies and solution conductivities. The pressures of the acoustic waves are calibrated with a standard hydrophone (Brüel & 8103) at different frequencies (15–120 kHz). We calculate the quantitative coupling coefficients of the seismoelectric conversion at DC and at high frequencies with samples saturated by solutions with different conductivities. When the Berea sandstone sample is saturated by the NaCl solution with 0.32 mS/m in conductivity, for example, the DC and seismoelectric coupling coefficients at 15 kHz are 0.024 μV/Pa and 0.019 μV/Pa, respectively. The seismoelectric coupling coefficient is an important and helpful parameter for designing a seismoelectric tool. More experimental measurements of seismoelectric coupling coefficients in the frequency range of 100 Hz to 15 kHz are needed in the future.     

Numerical simulation of attenuation and group velocity of guided ultrasonic wave in grouted rock bolts

In this paper, the guided ultrasonic wave propagating in grouted rock bolts was simulated with finite element method. An 800 mm partially grouted cylindrical rock bolt model was created. Dynamic input signals with frequency from 25 to 100 kHz were used to excite ultrasonic wave. The simulated waveform, group velocity and amplitude ratio matched well with the experimental results. This model made it possible to study the behaviour of the guided waves in the grouted bolt along its central axis. Analysis of the simulated results showed that the group velocity in grouted rock bolts is constant along the grouted length, and the boundary effect on the group velocity is negligible. This paper also presents methods to determine the attenuation coefficient from simulation and to determine the boundary effect on attenuation at the bolt ends. The analysis showed that the attenuation of the guided wave propagating inside the grouted bolts is similar to the theoretical solution in steel bar with infinite length. After correction for the boundary effects the grout length of a grouted rock bolt can be determined using the measured attenuation, with sufficient accuracy.