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The 17th International Symposium on Recent Advances in Exploration Geophysics (RAEG 2013)
- Conference date: 21 May 2013 - 21 May 2013
- Location: Chiba, Japan
- Published: 21 May 2013
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Self-potential Inversion for the Permeability and Streaming Current Coefficient Using the Rock Physical Empirical Law
Authors Y. Ozaki, H. Mikada, T. Goto and J. TakekawaIn this study, we extendedour2D inversion program that estimate the permeability structure from Self-potential (SP) profile to include the equation describing the permeability and streaming current coefficient. The SP is affected by the permeability, streaming current coupling coefficient and resistivity. Recently, the equation that describes the relationship between permeability and streaming current has been proposed and this equation is independent on the kind of soil or rock. We use this equation for our inversion and improve to our scheme. We apply our scheme to the synthetic SP profile and compare the inversion result considered the relationship to one ignored the relationship. Our inversion results show the difference in the inversion image, especially the value of estimated permeability. From this result, consideration of the relationship between permeability and streaming current coefficient is necessary for the accurate analysis of SP profile.
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Resolution of Full Waveform Inversion Using Controlled-source Electromagnetic Method
Authors N. Imamura, T. Goto, J. Takekawa and H. MikadaA 3D full waveform inversion is proposed as a processing method in controlled-source electromagnetic (CSEM) exploration. Using synthetic data simulated for a model, we demonstrate that conductive anomalies beneath the surface could be estimated with the proposed method. We discuss the resolution of our CSEM inversion method, considering the orientation of the dipoles of a transmitter and plural receivers. The synthetic inversion results show that the horizontal location of conductivity anomalies would be imaged using horizontal dipoles with high resolution, while the vertical location using vertical dipoles. On the other hand, the degradation of the resolution is observed for the vertical and horizontal locations of conductivity anomalies using horizontal and vertical dipoles, respectively. We then explain that these differences in the resolution of the inversion results are originating from those of secondary electric current. From our numerical results, we conclude that it is efficient to employ dipoles of plural orientations both for transmitter and for receivers to apply our inversion method with the high resolution.
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Data Processing and Analyzing of Magnetotellurics Survey Data in Time Domain
Authors H. Nagata, H. Mikada, T. Goto, J. Takekawa and T. KasayaData processing of magnetotelluric (MT) survey has been based on the Fast Fourier Transform (FFT). The FFT processing gives us the response functions (RFs) of the earth fast and easily. However, applying FFT processing to MT data may not be optimum always, since the source of MT is the transient fluctuation of electric current in the ionosphere. The FFT assumes time series to be a stationary so that we focused on an IIR filter called ‘pole on pedestal’ that extracts the signal at a specific frequency. Combining this IIR filter and the Hilbert transform, the RFs are calculated in time domain. For removing the segment contaminated by noise before calculating the RFs, we applied the maximum entropy method (MEM) to the selection of the segments contaminated by large noise. The MEM searches and removes these contaminated segments easily. As a result, we developed the time domain processing of MT data using MEM and IIR filter, and applied this processing to the real data acquired at the Nankai trough. Comparing the conventional and novel data processing, our novel data processing gives us more optimum RFs than the conventional processing. In addition, we discussed the time-domain separation of up-going/down-going electromagnetic waves based on the plane wave decomposition. All our attempts support an idea that the time-domain analysis of magnetotelluric data would give us more accurate and detailed subsurface information.
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A Hamiltonian Particle Method With Staggered Technique for Simulating Strong Ground Motion
Authors J. Takekawa, H. Mikada and T. GotoWe present a Hamiltonian particle method (HPM) with a staggered particle technique for simulating seismic wave propagation. In the conventional HPM, variables (e.g. displacement, stress) are defined at the same positions. On the other hand, most seismic simulations using finite difference methods (FDM) have used staggered grid techniques for improving the numerical accuracy. In the present study, we applied the staggered technique to HPM same as FDM. We applied our method to the conventional Lamb problem and compared numerical results of HPM with those from an analytical approach in order to demonstrate the effectiveness of the staggered particle technique. Our results showed better agreements with the analytical solutions than those from HPM without the staggered particles. This indicates that the staggered particle technique can be applicable to seismic wave simulations and improve the calculation accuracy.
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Numerical Simulation of Dynamic Fracturing Using a Particle Method
Authors Y. Imai, H. Mikada, T. Goto and J. TakekawaBetter understanding of failure mechanism of rocks benefits in many fields from rock engineering to earth sciences. Especially, it is essential to understand how fractures initiate and propagate under various loading conditions in order to clarify real rock fracture processes. For the interpretation of rock failure, many attempts have been made experimentally or using fracture mechanics theory. Although much of the knowledge available today is based on experimental observations and the theory successfully represented the propagation of predefined cracks, the failure mechanics are not fully understood by experimental results and it is difficult to describe the initiation and coalescence of cracks using the theory. Thus, in the recent years, numerical modeling, which may be less restrictive, has been applied to study crack behaviors, and we also approach to the rock failure based on numerical simulations. To represent rock failure, we use a Hamiltonian Particle method (HPM), one of particle methods. In the HPM, we do not need to use grids or meshes to discretize the rock model, and thus we could deal with the failure relatively easily. In spite of this advantage of the HPM, the applicability of the method to the failure phenomena have yet to be revealed fully. In the present study, we apply the HPM to rock failure under some different specimens and different loading conditions. As a result of our simulations, the HPM successfully reproduce failure pattern of brittle fracture observed rock fracture experiments and can observe micro cracks initiation and propagation. This suggests that the HPM is the useful tool to analyze rock failure.
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Numerical Simulation of Hour-Scale Magma Migration Using Pre-Eruptive Ground Deformation
Authors S. Minami, M. Iguchi, H. Mikada, T. Goto and J. TakekawaAnalysis of ground deformation around a volcano can provide magma accumulating process of plumbing system and infer invisible magma migration in the system. We developed a coupling scheme of modeling of magma plumbing system and magma flow simulation to quantitatively understand pre-eruptive magma migration in hour scale from observation of ground deformation. Our scheme was applied to ground deformation before an explosive eruption at the Showa Crater of Sakurajima volcano on April 9, 2009. The ground deformation shows that a periodic inflation and deflation event had lasted 30 hours before the eruption. Our model composed of shallower gas and deeper magma reservoirs connected by a volcanic conduit that had been suggested by the past geophysical observations. A pressure difference between the two reservoirs forces the magma to move from the deeper up to the shallower reservoir. We assumed a constant rate of magma supply to the deeper reservoir as an input to the magma plumbing system and a viscous magma flow in a cylindrical volcanic conduit. As a result of parametric inversion to reproduce the observed volumetric behavior, it is estimated that relatively high permeable magma ascends to the shallower in a volcanic conduit with 125 m radius. The result also shows that the gas in magma mainly ascends to the shallower and that the supply rate to the deeper reservoir on April 9 is ca. 16 m3/s. Finally, we found that our numerical scheme can provide the pre-eruptive magma migration in hour scale as well as constrain some unknown parameters.
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Relationship Between Attenuation of Coda Wave and Crustal Stress
Authors K. Okamoto, H. Mikada, T. Goto and J. TakekawaStress field deep under the ground, like seismogenic depth, is important to know seismic activity, state of oil reservoir, etc. However we can only know stress field near the earth surface using the current equipment and technique. In this study we focus on seismic scattering waves having information of the earth crust where the seismic waves travel through. From the scattering waves, we try to estimate the stress field deep under the ground. At first we employ a 2-D finite different method to reveal a relationship between the seismic scattering and the crustal stress field, i.e., magnitude and direction of the stress. As the result, it is revealed that coda-Q, which is derived from attenuation ratio of a seismic wave, has a proportional relationship with magnitude of the stress and changes periodically against direction of the magnitude. Next it is examined if the relationship can be seen in real field data using seismograms obtained by Hi-net. And it is revealed that coda-Q has the relationship with change in strain obtained by GPS observation and theoretical dislocation calculated from fault movement; both are proxy of the crustal stress field. We conclude that change in crustal stress field can be estimated from monitoring of coda-Q.
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Stress Concentration in Fractured Medium Due to Formation Pressure Changes
Authors K. Ohkubo, H. Mikada, T. Goto and J. TakekawaIt is well known that the hydraulic fracturing is a tool commonly used for stimulating hydrocarbon reservoirs and that the orientation and the propagation length of fractures created by hydraulic pressure influenced in by in-situ stress field. It is, however, difficult to predict the behavior of fracture propagation from boreholes in a medium under regional stress due to a lack of numerical schemes to simulate rock failures. In order to solve this problem of hydraulic fracturing, we have developed a program to simulate fracture propagation from a borehole due to increasing fluid pressure using an extended finite difference method (X-FEM), which deals with any fractures independent from grid or mesh for the numerical simulation. Numerical simulations are conducted for a 2D elastic medium having a borehole and a fracture. We first confirmed that our program could simulate the stress distribution whose local stress field near the borehole showed some deviated orientation from the regional stress field. We then confirmed that the tendency of fracture propagations to be a function of fluid pressure to induce the extension of fracture. The orientation of the fracture propagation converges to that of the principal stress. However, the higher the fluid pressure is, the smaller the curvature of fracture trace becomes. We would like to conclude that the orientation of maximum in-situ principal stress and the fluid pressure for fracturing is a major parameters to control the propagation of fractures due to increasing fluid pressure.
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2D Elastic Full-Waveform inversion for Estimating Fluid Distribution in Hydrocarbon Reservoir
Authors Y. Iwaki, H. Mikada, T. Goto and J. TakekawaSeismic full-waveform inversion (FWI) method has been used to estimate subsurface velocity structure. FWI directly utilizes observed waveforms that could include information on the properties of subsurface materials. In seismic time-lapse surveys, we observe the difference between waveforms as a function of time for the change such as fluid alteration. Residual waveforms between the observed before and after a certain time interval are used to estimate the changes in the fluid distribution in terms of seismic velocities in FWI method. In contrast to the previous FWI applications, our research focuses directly on the properties in the hydrocarbon reservoir in order to estimate the fluid distribution and alteration. We simulate the wave propagation based on the Biot theory that includes the effects of fluid in porous media. The simulation model is composed of a block of sandstone saturated with water and gas. We assume a transition zone around the fluid contact, whose vertical profile of the saturation rate varies gradually in time in this zone. The result inspires that the combination of elastic parameters is necessary for estimating the seismic velocity contact in fluid transition zone relating to the fluid-contact movement by FWI.
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Application of the Full-waveform inversion Techniques to the Estimation of the Sound Velocity Structure in the Ocean
Authors Y. Kida, H. Mikada, T. Goto and J. TakekawaThis study investigates the effectiveness and the applicability of the full waveform inversion (FWI) method to estimate underwater sound velocity structures. We use the frequency domain full waveform inversion method in this study. In this study, the FWI is applied to the shallow-acoustic tomography first, and then we show some prospects of application to the long-range ocean acoustic tomography. We used an optimal 9 point finite difference frequency domain method for shallow acoustic tomography and the wide angled parabolic equation method for long-range acoustic tomography. We use an adjoint-state method for the calculation of the gradient in an iterative inversion based on a pre-conditioned conjugate gradient method. We first demonstrate results from a FWI method applied to a VCS experiment field data in Lake Biwa. In spite of very limited path condition using only direct arrival wave, the full waveform inversion method could describe the horizontal velocity structure possibly due to seasonal thermocline in the lake. Then, we applied the FWI method to the synthetic dataset of long-range acoustic propagation. We conclude that the FWI method could be the key success factor for the higher resolution at estimation of underwater sound velocity structure.
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Numerical Electromagnetic Simulation for High Resolution Eddy-current Testing Method
Authors T. Saito, H. Mikada, T. Goto and J. TakekawaThe applicability and feasibility of eddy current detection method for the measurement of wall thinning and surface crack of steel structure have been practically confirmed by field and laboratory experiments. Recently, we could roughly understand where and how large the defects are by this method. However, it is difficult to estimate the exact size and shape of them. For more accurate inspections, there has been a growing demand to quantitatively evaluate the defects. Therefore, we have developed a numerical simulator to consider whether we could develop the high accuracy eddy current method. Eddy current method uses the information of excitation and induced magnetic field. In order to calculate the induced magnetic field, we used a 2.5 dimensional finite-difference frequency domain technique (2.5D-FDFD) to solve Maxwell's equations numerically. In this technique, we assumed the two-dimensional structure and the three-dimensional electromagnetic field. We used two-layer structure consisting of seawater and steel plate containing defects. To estimate characteristic of the induced magnetic field, we simulated for a variety of defects and compared what effect appear. As a result, we could confirm the effect of surface defects of steel plate on receiving magnetic field intensity. The induced magnetic field intensity increases near the edge of the defects and decays above the defects. The larger depth and width of the defects are, the more attenuate the magnetic field intensity becomes. Our simulation results indicated that we could obtain the response of magnetic field intensity whose detectable scale of defects is no smaller than mm order.
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Removable of Galvanic Distortion On 3-D MT Inversion
Authors M. Tani, H. Mikada, T. Goto, J. Takekawa and W. SiripunvarapornRecent years, three-dimensional magnetotelluric (MT) inversion is widely used in geophysical structural surveys. In this paper, we show how to galvanic distortion would influence to 3-D MT inversion results, and would like to propose an improvement of model covariance matrix which could deal the galvanic distortion. For accommodating the galvanic distortion effects, we first simulate a set of synthetic MT response for some models and then add the distortion effects that are a function of observation locations. We applied WSINV3DMT as an inversion method to these synthetic MT responses. As a result, we confirmed distinct differences between 3-D MT inversion results depending on the degree of galvanic distortion. When we applied WSINV3DMT with the modified model covariance matrix, we obtained better inversion result. Based on these numerical experiments, we conclude that the galvanic distortion should be considered and be dealt with in the inversion.
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Pseudo Resistivity Section By VLF-EM Method With a Single Frequency
Authors D. Hyodo, H. Mikada, T. Goto and J. TakekawaElectromagnetic waves with single or limited frequencies from VLF transmitters generate secondary induced components of magnetic field, which are used to detect localized changes in electrical conductivity contrasts. This method, so-called VLF-EM, has been the powerful tool for mapping subsurface geological structures because of its low cost and short survey terms compared with electrical resistivity survey. However, it has not been tested to estimate a pseudo-resistivity section, both the apparent resistivity and the depth of conductive anomaly by using the measured magnetic components with a single frequency. In this study, the Normalized Full Gradient (NFG) method, generally used for the downward continuation of the potential filed data, was applied to the magnetic components at the surface. The VLF-EM data set was obtained numerically on a synthetic model. The cross section of NFG values derived from horizontal component of magnetic field clearly indicates high peaks at edges of a low resistivity anomaly buried below the surface. The peak of NFG values from the vertical component correspond with the centre of the anomaly. On the basis of the results, we estimated the pseudo-section of apparent resistivity from the VLF-EM data weighted with the NFG values at each depth. We confirmed that the weighted apparent resistivity values are lower in the vicinity of low resistivity anomaly than the surrounding area, although the estimated value is a little higher than the original value. We conclude that our simple technique give an approximate subsurface resistivity structures quickly, which is useful for geological interpretations.
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Electromagnetic Survey Around the Seafloor Massive Sulfide Using Autonomous Underwater Vehicle
Authors T.-N. Goto, T. Kasaya, N. Imamura, H. Mikada, J. Takekawa and K. SayanagiThe recent growth of world-wide requirement of metals demands advanced explorations for finding metal mine and deposits. The feasibility studies demonstrated that the electromagnetic responses are very sensitive to the conductive layer simulating the submarine massive sulfide (SMS) deposits, which is buried at the depth of several tens meters. On the basis of the results, we developed instruments for the marine controlled-source electromagnetic (CSEM) survey with autonomous underwater vehicle (AUV), on which a transmitter was attached. For the real field test, R/V Yokosuka and AUV Urashima were used. The target region is a real deep-sea mine in a caldera structure called Bayonnaise, located in the Izu-Bonin island arc, south of Japan. We succeeded in the test experiment along four survey lines with current shooting from AUV. Six ocean-bottom receivers (OBEM) simultaneously recorded those signals. The maximum source-receiver distance, in which we can detect the artificial current signals, exceeds to about 500m. Therefore, the inferred maximum sounding depth will be 150m or more below the seafloor. For evaluating the anomalous attenuation or amplification of received electric field at OBEMs, the three-dimensional forward modeling including the real bathymetry and a simple subsurface structure having an uniform resistivity (1 Ohm-m) was employed. Comparison between the observed and synthesized received field gives us a three-dimensional pseudo-section of anomalous received field, which can visualize heterogeneity of sub seafloor structure qualitatively. On the basis of the preliminary result of our AUV-CSEM survey around the SMS, high conductive features are observed not only in the SMS exposed area, but also the surrounding area of SMS. It would reflect both the mineral deposits in and around the SMS and highly conductive pore water below the surface due to warm temperature by hydrothermal activities below the SMS. We conclude that our new technology imaging the near sub-seafloor structures will be useful for discussion about the geological background of SMS, and also be a powerful tool for the SMS detection and developments.
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Three-Dimensional Joint Inversion of Gravity and Magnetic Anomalies Using Fuzzy C-Means Clustering
Authors Y. Teranishi, H. Mikada, T. Goto and J. TakekawaWe present a 3D joint inversion method to estimate two physical parameters, density and magnetization of subsurface materials using field intensity measurements. In the method, we introduce the fuzzy c-means (FCM) clustering technique to relate gravity with magnetic data. In the approach, the subsurface structure is discretized to a set of rectangular prisms. For estimating the density and magnetization of each prism, we minimize the quadratic norm of the residuals between the observed and the forward-modeled. Two regularization terms, i.e. the roughness and the similarity of the two physical parameters, are introduced in our joint inversion to control the degree of model roughness and similarity. We determine their regularization parameters using the L-curve criterion. We apply our method to a numerical model which represents submarine massive sulphides (SMS). The joint inversion results, which have the advantages of both gravity and magnetic inversion, show better accuracy and resolution than the individual ones.
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Lattice Boltzmann Simulation for Flux Change Under Oscillating Boundary Condition
Authors R. Ueda, H. Mikada, T. Goto and J. TakekawaSeismic stimulation is known as one of the methods of Enhanced Oil Recovery (EOR). Numerous observations show that seismic stimulation of oil reservoir may alter water and oil production. Recent studies attempted to show detailed mechanisms of seismic stimulation. But understanding the detail mechanisms, it is necessary to delineate the relationship between macroscopic and microscopic phenomena So, to use seismic EOR efficiently, we attempt to understand amplitude characteristics and frequency characteristics of the flux change in viscous laminar flow under oscillating boundary condition to simulate seismic EOR. In this time, we start to analyze a single-phase flow in various pore shapes and scales with 2D LBM scheme. The results show seismic amplitude, frequency, pore scales, shapes and angle are largely related with the flux change, because of the reduction of pressure loss and the flow velocity difference between the wall and flow.
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Estimation of 2D Shear Wave Velocity Profile of Soil Layers Using Surface Wave Seismic Tests
Authors P.-H. Tsai and Z. FengThe 2D shear wave velocity profile of strata is estimated using the active and passive surface wave seismic tests. The experimental dispersion curves were obtained after the recorded signals were transformed by the slant stack procedure. The phase velocity in the relatively high frequency range can be obtained using the dispersion curves deduced from the active tests. On the other side, dispersion curves obtained from the passive tests can be used to estimate the phase velocity in the relatively low frequency range. From the higher frequency portion of the dispersion curves that stand for the fundamental mode, we obtained the phase velocities about 190 m/s for the sandy surface fill. Theoretical dispersion curves can be constructed by the thin-layer-stiffness-matrix method. For theoretical dispersion curves, the soil layers of the test site were modeled as the sandy surface fill overlying a half space soil layer. A real-parameter genetic algorithm was programmed to minimize the difference between the theoretical and experimental dispersion curves. We prove that the real-parameter genetic algorithm is capable to reduce the error between experimental and theoretical dispersion curves. The estimated 2D geometry of the sandy surface fill using the active and passive surface wave seismic tests was verified with the borehole data.
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Full Waveform Inversion of Multi-shot Seismic Data Acquired for Complex Subsurface Structure
Authors E.J. Hondori, H. Mikada, T. Goto and J. TakekawaWe studied full waveform inversion of seismic data acquired in elastic media to develop subsurface images from raw shot gathers. The forward modeling is based on finite difference solution of the elastic wave equation in the frequency domain. Gradient vector is calculated using an adjoint-state technique and pseudo Hessian matrix is used to precondition the gradient vector to update the model parameter via preconditioned conjugate gradient method. Two synthetic examples from crosswell tomography and surface acquisition experiments are presented to examine the ability of the method in proper subsurface imaging.
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