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The 22nd International Symposium on Recent Advances in Exploration Geophysics (RAEG 2018)
- Conference date: May 24, 2018
- Location: Chiba, Japan
- Published: 24 May 2018
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Estimation of seismic anisotropy with azimuth from sonic data by full waveform inversion
Authors Satoshi Fuse, Hitoshi Mikada and Junichi TakekawaSeismic anisotropy is defined as the directional dependency of seismic phase velocities caused by the anisotropy in the elastic properties of medium. In the past 30 years of research on seismic anisotropy, it has become well known that subsurface materials are more anisotropic than the foreseen. An estimation of anisotropic properties becomes more important for processing seismic data and planning hydraulic fracturing. However, algebraic problems for estimating the anisotropic parameters from seismic data still remain due to the ill-posedness and the instability in the inverse mapping. It is, however, difficult to estimate directly all of 21 independent parameters in the general elastic medium in the 3D Cartesian coordinate system, and a method to deal with seismic anisotropy for complex anisotropic materials has been waited for.
In this study, we conduct numerical simulation for transversely isotropic medium (TI) which has 5 independent stiffness elements in 3-dimensional logging model. We propose a new parameterization strategy that minimizes the number of parameters so as to alleviate the ill-posedness and the instability: 7 parameters to express a general anisotropic medium. Instead of the full rank stiffness matrix for general triclinic materials, we assume a transversely isotropic material with horizontal axis of rotation (HTI) as an elastic medium with orientation and dip angles of the axis that becomes an analogue to general elastic medium. We attempt to estimate these parameters by full waveform strategy because azimuthal anisotropy influences the waveform. Since one of the crucial problems of FWI is the predicted model would be possible to converge to local minimum as the number of parameters increases, the small number of unknowns in the proposed strategy could play a key role to deal with complex anisotropy. As a result, all elements come close to true values by full waveform inversion process. Our results suggest that the proposed parameterization strategy and FWI have an advantage over the conventional methods in terms of accuracy and stability.
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Reproduction of complicated scale form in pipe systems from hydrodynamic perspectives
Authors Masaki Iwata, Hitoshi Mikada and Junichi TakekawaScale precipitation could seriously damage all flow path equipment in oil, gas and geothermal power plants. The formation process of scale is very complex and some phenomena which cannot be explained by simple chemical kinetics need to be considered. One of them is the local scale deposition at the joint of piping structure, and we attempted its prediction and visualization by the lattice Boltzmann method (LBM) for a more advanced analysis on silica particle motion in a flow of geothermal fluid based on fluid dynamics. We improved the stability of flow calculation coupled with the microscopic analysis. In this process, we extracted shear and normal flow with respect to the virtual wall surface, which is calculated by evening out the solid-fluid boundary in the LBM-simulation. We succeeded in reproducing the complicated scale development protruding into the flow due to the influence from flow properties in the field. Furthermore, we indicated that the scale shape changes depending on the pressure difference in inlet and outlet boundaries. This means the flow condition can provide an account of structural difference and our analysis has wide versatility for scale related problems in earth resource engineering.
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The estimation of the physical properties of subsurface objects using Cole-Cole equation
Authors Kohshi Kimura, Hitoshi Mikada and Junichi TakekawaGround Penetrating Rader (GPR) is a nondestructive testing method to visualize shallow subsurface using reflection of downgoing electromagnetic (EM) waves generated on the surface. The processing of GPR data has been developed using that of reflection seismology and the method is applied to survey wide area in an expeditious way, GPR has been widely used in many engineering fields. Quantitative analyses based on physical properties of buried targets have, however, not been well attempted in spite of increasing interest to the identification of subsurface materials in recent years. Since the combination of conductivity, permittivity, and magnetic permeability contrasts of material discontinuities causes the attenuation and the dispersion of electromagnetic waves that propagate through, reflected electromagnetic signals could be utilized to the material identification. In this study, we employed the Cole-Cole equation to analyze the attenuation and the dispersion of electromagnetic reflection signals for possible material identification using what are called the Cole parameters, i.e., physical properties. Since there are many materials for which the Cole parameters are not estimated, we employed a method using reflection signals for a two-layered earth model, that has a top layer of a material with the known Cole parameters and the second layer for which the Cole parameters are estimated. We use the dry soil as the second layer to estimate the physical properties using the Cole-Cole equation. Although we use very wide range of frequency in this study as well to discuss the optimum frequency band, we get good estimation result from the frequency band from 107Hz to 108Hz, which is usually used in GPR.
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Damage detection on invisible reverse side of planar steel using disturbance measurement of magnetic flux
Authors Toshiki Nakagawa, Hitoshi Mikada and Junichi TakekawaMany steel pipes are made with planar steel plates and are used at oil and gas plants. Steels could easily corrode due to anode and cathode reactions causing electrochemical redox. Defects or corrosions are formed on both surfaces of a planar steel but it is difficult to perceive them formed on the other invisible side of plate from one surface with conventional non-destructive testing methods such as eddy current inspection, multi-finger caliper measurement, electromagnetic/acoustic casing thickness measurement, etc. Because of very high conductivity of steel materials, the penetration of electric current for measurement from the surface would be limited to a thin range. In this research we propose a new non-destructive testing method using magnetic field to detect defects on the invisible side, i.e., the reverse side from the measurement, of steel materials. We conducted numerical analysis using an FDTD method for showing that we could find the defects on the rear side of steel material. It is confirmed that the spatial variation of the amplitude of magnetic flux gives a change at the location of a defect on the other side when applying magnetic field to the material. We verified that the change comes from the magnetic flux leakage caused by the circumvention of magnetic flux around the defect. The phase of magnetic component normal to the surface showed an amplitude reversal at the center of a defect on the other side of the plate. We conclude that detects on the other side of a plate could be detected in the measurement on one side.
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DEM-SJM combined 2D-hydraulic fracturing simulation for consideration of the influence of differential stress
Authors Hayate Ohtani, Hitoshi Mikada and Junichi TakekawaFor improving the production of conventional oil and shale gas, the practice of hydraulic fracturing has been increasing in recent years. In addition, hydraulic fracturing is used for the development of geothermal energy known as hot dry rock (HDR) geothermal power, and enhanced geothermal system (EGS), and for measuring the rock failure strength and the orientation of principal stress direction, etc. On the other hand, hydraulic fracturing has some environmental impact, such as pollution caused by chemical substances in injected proppant or fluid, induced seismicity, etc. Since it is necessary to minimize the environmental impact, techniques to predict propagating directions and distances of fractures to be generated hydraulically, which are known still very difficult, have been waited for. In this paper, we demonstrate the influence of differential stress and the anisotropy using numerical experiments based on distinct element method (DEM) combined with smooth joint model (SJM). Hydraulic fractures in general propagate in the direction of maximum principal stress on large differential stress conditions. As the differential stress decreased, the propagating directions hydraulic fractures curves to the direction of bedding plane, i.e., anisotropic direction of weak rock strength, and sometimes fractures branch to plural directions. These results suggest that the behavior and propagating direction of hydraulic fractures are strongly influenced by both the differential stress and the rock strength anisotropy in the underground shallow layer.
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High-resolution microseismic monitoring for water injection in Okuaizu Geothermal Field, Japan
Authors Kyosuke Okamoto, Li Yi, Hiroshi Asanuma, Takashi Okabe, Yasuyuki Abe and Masatoshi TsuzukiA continuous water injection test was conducted to halt the reduction of steam production in the Okuaizu Geothermal Field, Japan. Understanding the spatiotemporal behavior of water flow within the reservoir associated with the water injection is essential to ensuring effective steam production. We conducted a high-resolution hypocenter determination using the double-difference method. In this method, relative hypocenter locations are corrected by using time difference in P-wave onsets of seismic event pairs. We found three characteristic seismic clusters associated with the water injection using this method. The creation of microseismic clusters seems to have a qualitative relationship with the distribution of well head pressures in this field, suggesting that microseismic monitoring could be a method for understanding fluid behavior in the reservoir.
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Checkerboard resolution test for natural earthquake tomography of volcanic islands in Tokyo
Authors Kentaro Omori and Yoshiya OdaIn natural earthquake tomography targeting a single volcano, temporary seismic observation is carried out in order to improve resolution in general. However, since the number of observation points and observation period are limited, it is important to grasp the presumable resolution in advance. Therefore, we conducted to examine how much resolution we can estimate the underground velocity structure by performing temporary seismic observation with how many observation points and observation period (the number of earthquakes), when carrying out natural seismic tomography on Hachijojima, Kozushima and Niijima of volcanic islands in Tokyo by using numerical experiments, a checkerboard resolution test (CRT). CRT is one of the reasonable tests to show the resolution of the natural earthquake tomography and to evaluate the influence of parameters with good resolution (a pair of grid point spacing, observation points and number of earthquakes) on the resolution. As the results of parametric study using CRT, we have found that in every island I have researched, when setting a pair of some grid point spacing, some number of observation points and some number of earthquakes, they were possible to image with a resolution of some degree. Considering that temporary seismic observation will be carried out in volcanic islands, Tokyo, in the future, the data obtained in this study will be very important for establishing the observation plan.
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Numerical simulation of brittle failure of rock using MPS method and DEM
Authors Junichi Takekawa and Hitoshi MikadaWe developed a novel method for simulating brittle failure of rock based on the combination of the moving particle semi-implicit (MPS) and the discrete element methods (DEM). The MPS method is a kind of particle methods, and can simulate behavior of continuous bodies without going through a calibration process. On the other hand, DEM is used to calculate collision of fragments after macroscopic failure. This strategy can simulate deformation behavior of rock in not only pre-failure but also post-failure behavior in a seamless manner. We evaluate the effectiveness of the proposed method using a numerical experiment. Our experiment consists of a brittle sphere and a steel plate. The sphere collides with the plate with a certain speed. The failure criterion is only applied to particles constitute the brittle sphere. We compare the failure pattern of the brittle sphere with that of a laboratory experiment. Our result shows excellent agreement with the laboratory result. This indicates that the proposed method could be an alternative to the conventional numerical methods for simulating discontinuous behavior of brittle materials.
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Fundamental study for detecting subsurface foam advancement in the practice of foam-assisted EOR using RTM
Authors Rei Tamura, Hitoshi Mikada and Junichi TakekawaRecently, foam-assisted enhanced oil recovery (EOR) has drawn attention due to its effectiveness. However, the method to explore how the subsurface sweep foam front moves has not been fully studied yet. In the previous study, our numerical results indicated that subsurface foam distribution could be detected by seismic method with an amplitude versus offset (AVO) analysis. Since the effectiveness of the seismic method for capturing the location of foam front has been validated, our next step is to extend its applicability to monitor the movement of foam-saturated zone in a quantitative way. In this study, we conducted numerical experiments to examine the effectiveness of wave-theoretical seismic methods to time-lapse monitoring. We set 2D subsurface models supposing foam-assisted EOR with CO2 and water injection. We make synthetic data sets for these two models with different position of sweep foam front. We take the difference of waveforms between before and after the advancement of foam sweep front, and then, back propagate these residuals as sources. From the correlation of the forward and the backward wave fileds, we got the images of the vertical wave field which exaggerate the diffraction caused by the difference of position of foam sweep front. This result indicates that seismic exploration could detect the location of physical property change due to the advancement of sweep foam front in the practice of foam-assisted EOR.
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Simultaneous estimation of subsurface properties from CSP gather
Authors Tomoaki Tanaka, Hitoshi Mikada and Junichi TakekawaThe utilization of S-wave velocity has become an essential task in seismic reflection surveys for lithological properties of subsurface materials. In this research, we applied horizontal component of a common scatter point (CSP) gather produced in the application of the Equivalent Offset Migration (EOM) method to obtain S-wave wavefields. As an AVO analysis of both vertical and horizontal components of the CSP gathers estimates physical properties of subsurface reflectors, we use the full waveform inversion (FWI) technique to estimate the physical properties directly with observed waveforms. Our simple numerical experiments have shown high accuracy, the applicability, and the validity of our method. We would like to propose the processing of CSP gathers with FWI as a method of lithological interpretation of subsurface materials.
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Numerical study on the interaction of solid grains with fluid in the production of natural resources
Authors Naoki Tanimoto, Hitoshi Mikada and Junichi TakekawaThe sanding is recognized as one of the main problems in producing hydrocarbon resources. Although it is important to predict the occurrence of the sanding during production, the prediction or countermeasure still remains to be established. In this study, we conduct numerical simulation of fluid-solid multi-phase flow in order to investigate the factors which affect the occurrence of the sanding. Our numerical model is a fluid path consists of a set of planar plates of a finite length filled by fluid and a mound of small solid grains. A fluid flow is produced by the pressure gradient with different magnitudes between the both end of the path. We found that a few small grains leave the mound with a high pressure gradient whereas no floating grains were observed with a low pressure gradient. We also observed a reasonable change in the flow velocity and relative permeability when the floating of small grains occurs. This result indicates that the sanding can be detected by observing the time variation of flow rate during production.
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Microseismic analysis for kinematic parameters of subsurface permeable flow
Authors Akitomo Watanabe, Hitoshi Mikada and Junichi TakekawaIn recent years, a method called passive Seismic Emission Tomography (SET) attracts attention in the petroleum industry. SET estimates the subsurface areas of fluid flow where the seismic noise could be generated due to minor pressure fluctuations caused by the flow in the reservoir using seismic data. In this study, we hypothesized that micro seismic waves used in SET contain fluid flow information such as fluid properties, flow channels, or what the phases are immixed in the flow. We tested, with numerical experiments, if the frequency of seismic signals we observe in the application of SET reflects the fluid rate, i.e., a parameter defined by fluid viscosity, differential pressure and a channel shape. In numerical experiments, we simulate the two-phase flow of water-oil flowing through the channel of a pore throat with a narrow segment to see what the frequency of seismic signals generated at the wall of the channel by using the lattice Boltzmann method in a 3D space. Our numerical experiments found that seismic waves of 10 – 30 Hz would be generated when a droplet passes through the pore throat. The seismic frequency depends on the length of the narrow segment and the flow rate. Since it is known that the location of seismic emission could be estimated in the range of resolution defined by seismic observation, our results indicate the possibility to estimate the flow-related parameters as a function of space. We would like to conclude: i) seismic waves observed in SET are generated by the fluid flow ii) observed seismic frequency includes a characteristic parameter defined by the length of narrow segment and the flow velocity.
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Estimation of azimuthal angle of S-wave anisotropy using virtual cross-dipole data generated by the Virtual Source Method
Authors Yusuke Watanabe, Hitoshi Mikada and Junichi TakekawaA novel scheme we proposed for analyzing S-wave azimuthal anisotropic angle in the subsurface below the seafloor has been applied to a tilted transversally isotropic medium of horizontal axis of symmetry (HTI). The proposed method utilizes the virtual source method to acquired data set with single ocean bottom seismometer and an air-gun array. To evaluate the effectiveness of our scheme, we conducted the numerical experiments for 3D model with a tilted anisotropic target. We applied this method to the synthetic data to make the virtual cross-dipole data at each shot location. Finally we applied the Alford rotation to estimate an azimuthal angle of the anisotropy of the target layer. Our numerical results show the limitations of the Alford rotation. Especially, the Alford rotation assumes that a dipole signal in one direction has an amplitude equivalent to the other dipole to the other normal direction in the cross dipole measurements. Since our approach could not assume the equality of the amplitudes for each of the cross dipole signals, we conclude that a strategy using full waveforms needs to be taken into consideration for estimating azimuthal angle of tilted targets.
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