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<title>Paul Michaels</title>
<copyright>Copyright (c) 2012  All rights reserved.</copyright>
<link>http://works.bepress.com/paul_michaels</link>
<description>Recent documents in Paul Michaels</description>
<language>en-us</language>
<lastBuildDate>Mon, 26 Nov 2012 06:21:11 PST</lastBuildDate>
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<title>Causal Instrument Corrections for Short-Period and Broadband Seismometers</title>
<link>http://works.bepress.com/paul_michaels/15</link>
<guid isPermaLink="true">http://works.bepress.com/paul_michaels/15</guid>
<pubDate>Wed, 03 Oct 2012 15:35:19 PDT</pubDate>
<description>
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	<p>Of all the filters applied to recordings of seismic waves, which include source, path, and site effects, the one we know most precisely is the instrument filter. Therefore, it behooves seismologists to accurately remove the effect of the instrument from raw seismograms. Applying instrument corrections allows analysis of the seismogram in terms of physical units (e.g., displacement or particle velocity of the Earth’s surface) instead of the output of the instrument (e.g., digital counts). The instrument correction can be considered the most fundamental processing step in seismology since it relates the raw data to an observable quantity of interest to seismologists. Complicating matters is the fact that, in practice, the term “instrument correction” refers to more than simply the seismometer. The instrument correction compensates for the complete recording system including the seismometer, telemetry, digitizer, and any anti‐alias filters.</p>

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<author>Matthew M. Haney et al.</author>


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<title>Determination of Permeability from Damping</title>
<link>http://works.bepress.com/paul_michaels/14</link>
<guid isPermaLink="true">http://works.bepress.com/paul_michaels/14</guid>
<pubDate>Mon, 24 Sep 2012 09:00:30 PDT</pubDate>
<description>
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	<p>Permeability of a fluid through a saturated material is determined by measuring the dynamic response of that saturated material to shaking vibrations and/or shear wave propagation, and then mapping the dynamic response (preferably, viscoelastic stiffness and damping properties) to an invented model (called "KVMB") that yields the property of permeability. The preferred embodiments may use shear waves, inertial effects, and/or transmission effects, but preferably not compression, to force fluids through the pores. The mapping preferably predicts two possible mappings to permeability, coupled and uncoupled. The preferred methods are both internally consistent and directly related to known laws of physics rather than dependent on empirical calibrations. In use, for example, one may use a porosity log (conventional neutron or sonic) and recordings of SH -waves to obtain damping ratio, followed by locating of the damping ratio on a KVMB map that depends on porosity, and choosing of one of the two possible permeabilities indicated by the mapping, wherein the best choice is typically the largely coupled case.</p>

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<author>Paul Michaels</author>


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<title>Love Wave Propagation in Viscoelastic Media</title>
<link>http://works.bepress.com/paul_michaels/13</link>
<guid isPermaLink="true">http://works.bepress.com/paul_michaels/13</guid>
<pubDate>Mon, 24 Sep 2012 09:00:29 PDT</pubDate>
<description>
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	<p>Surface wave measurements have been used to compute the dynamic soil properties for near surface site characterization and the dynamic design of foundations. Much of this work has been done with the Rayleigh waves which are dependent on both the shear and the compressive wave properties of the soil. Love waves,on the other hand, are sensitive only to the shear wave response of the soil. This shear only sensitivity greatly simplifies determining the damping and the stiffness of a near surface soil profile. Further, the mechanism of damping can be related to purely inertial interactions of the soil frame and the pore fluids, free from compressive factors. Traditionally, soils have been represented by elastic models. While elastic models are adequate in representing dry or impermeable soils, they fail to account for the observed down-hole body wave dispersion in permeable, water saturated soils. To overcome this limitation, a viscoelastic model can be used. In this work, a viscoelastic representation of the Love wave propagation is derived for the forward problem. The solution to this forward problem yields the dispersion and the attenuation curves. Also computed are the complex motion-stress vectors fora vertically heterogeneous, viscoelastic medium, with the shear viscosity as a specific material property. The viscoelastic constitutive model will lead to an improved representation of Love wave propagation in permeable,water saturated soils where the concept of the effective viscosity becomes inappropriate.</p>

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<author>G. Vijaya Raghavendra Chakravarthy et al.</author>


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<title>Parallel Computations and Numerical Simulations for Nonlinear Systems of Volterra Integro-Differential Equations</title>
<link>http://works.bepress.com/paul_michaels/12</link>
<guid isPermaLink="true">http://works.bepress.com/paul_michaels/12</guid>
<pubDate>Tue, 06 Dec 2011 16:21:51 PST</pubDate>
<description>
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	<p><p id="x-x-x-x-sp010">We investigate thalamo-cortical systems that are modeled by nonlinear Volterra integro-differential equations of convolution type. We divide the systems into smaller subsystems in such a way that each of them is solved separately by a processor working independently of other processors results of which are shared only once in the process of computations. We solve the subsystems concurrently in a parallel computing environment and present results of numerical experiments, which show savings in the run time and therefore efficiency of our approach. For our numerical simulations, we apply different numbers <em>np</em> of processors and each case shows that the run time decreases with increasing <em>np</em>. The optimal speed-up is obtained with <em>np</em>=<em>N</em>, where <em>N</em> is the (moderate) number of equations in the thalamo-cortical model.</p>

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<author>Paul Michaels et al.</author>


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<title>Theory of Viscoelastic Love Waves and Their Potential Application to Near Surface Sensing of Permeability</title>
<link>http://works.bepress.com/paul_michaels/11</link>
<guid isPermaLink="true">http://works.bepress.com/paul_michaels/11</guid>
<pubDate>Tue, 06 Dec 2011 16:21:50 PST</pubDate>
<description>
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	<p>In computing Love-wave solutions, the choice of constitutive model depends on the domain of application. In the domain of global earthquake seismology, the search for solutions in the complex plane began in the vicinity of the elastic solutions. In the case of near-surface engineering work, damping levels can be large, and elastic stiffness can be much less than in global seismology. Furthermore, the choice of representation should depend on the permeability and degree of water saturation. The study of dry or impermeable soils and rock, where viscous effects are largely absent, has led to an alternative representation for the Kelvin-Voigt damping property. Under that alternative of effective viscosity, the damping ratio is a frequency-independent soil constant. Permeable, water-saturated soils, on the other hand, have shown viscous behavior. A method to solve for Love waves can be used under a truly viscous assumption. Applications would include near-surface remote sensing of either water content or permeability.</p>

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<author>Paul Michaels et al.</author>


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<title>Establishing Confidence in Surface Wave Determined Soil Profiles</title>
<link>http://works.bepress.com/paul_michaels/10</link>
<guid isPermaLink="true">http://works.bepress.com/paul_michaels/10</guid>
<pubDate>Fri, 19 Aug 2011 15:43:15 PDT</pubDate>
<description>
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	<p>Surface waves can be used to determine the shear velocity profile from the ground surface to some depth limited by the spectral band of the seismic source. A number of factors influence the uncertainties of the determined profile. The field acquisition factors include the deployment geometry of geophones, the spectral characteristics of the geophones, recording instruments, and seismic source. A key data processing factor is the determination of a dispersion curve from the field recordings. Finally, there are important choices in conducting the inversion of the dispersion curve which leads to the final soil profile. Even if the field factors and acquired data are fixed, determination of the dispersion and the inversion decisions will have a strong influence on the final result. Different engineers will make different decisions, and a range of soil profiles can be expected. Assessment of this variability was the goal of the Surface Wave Benchmark Study sponsored by the Geophysical Engineering Committee of ASCE. Participants were invited to analyze as little or as much of the data as they wished. This paper documents one participant’s analysis of a selected set of the data taken at a single location. A key finding documents how a lack of low frequency content limits the maximum depth for which one can have confidence in the soil profile.</p>

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<author>Paul Michaels</author>


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<title>Use of Engineering Geophysics to Investigate a Site for a Bridge Foundation</title>
<link>http://works.bepress.com/paul_michaels/9</link>
<guid isPermaLink="true">http://works.bepress.com/paul_michaels/9</guid>
<pubDate>Thu, 13 May 2010 13:35:47 PDT</pubDate>
<description>
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	<p>The Idaho Transportation Department (ITD) commissioned a geophysical study to aid in the design of a replacement for an existing concrete span bridge. Because the river current was too swift to place geophones in the river, the solution was to shoot p-wave profiles in a reciprocal geometry (phones on land, shots in the river). In addition to the refraction work, a down-hole seismic profile was acquired to calibrate the surface data.</p>
<p>Geotechnical boreholes drilled on the north and south river banks detected a laterally varying soil profile. The south-bank hole encountered 9.1 m of granular overburden, followed by 8.5 m of silt with bands of siltstone and arkosic sandstone. The north-bank hole encountered 13.5 m of granular overburden, followed by 4.5 m of arkosic sandstone. The seismic down-hole survey (south bank) determined that the compacted silt was 2.5 times stiffer than the granular overburden. The damping value of the silt was 80% of the granular soil’s damping.</p>
<p>The author interprets subsurface and geophysical data as a granular overburden resting on an angular unconformity. The unconformity truncates layers of silt, siltstone, and arkosic sandstone dipping 19 to 25 degrees down to the north. Hard layers subcropped by the interpreted unconformity have produced two topographic highs on the refractor. Engineers should expect less granular overburden and more resistance to driving H-piles at these locations.</p>

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<author>Paul Michaels</author>


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<title>Design of Geophysical Surveys in Transportation</title>
<link>http://works.bepress.com/paul_michaels/8</link>
<guid isPermaLink="true">http://works.bepress.com/paul_michaels/8</guid>
<pubDate>Thu, 13 May 2010 10:14:11 PDT</pubDate>
<description>
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	<p>Designing geophysical investigations for transportation related projects requires special attention to the constraints imposed by right-of-way, irregular topography, noise from traffic, and the need to avoid the interruption of traffic flow. A geophysical engineer needs to be prepared to consider these design issues that are not addressed in a standard procedure such as ASTM D-5777. The author presents design strategies that address these issues, and illustrates the concepts with case histories taken from bridge and highway projects. Beam steering, broadside shooting, and non-traditional designs that preserve alternative analysis options are presented. Transportation engineers who augment traditional subsurface geotechnical surveys with engineering geophysics are better prepared to avoid costly delays and redesign of projects due to differing site conditions.</p>

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<author>Paul Michaels</author>


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<title>Comparison of Viscous Damping in Unsaturated Soils, Compression and Shear</title>
<link>http://works.bepress.com/paul_michaels/7</link>
<guid isPermaLink="true">http://works.bepress.com/paul_michaels/7</guid>
<pubDate>Wed, 12 May 2010 14:19:09 PDT</pubDate>
<description>
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	<p>Geophysical down-hole surveys can be used to measure the small strain dynamic properties of soils by the effects these properties have on wave propagation. The relevant effects include amplitude decay (corrected for beam divergence) and velocity dispersion. In this paper, down-hole data collected during the GeoInstitute's Denver 2000 field day are presented and analyzed as a Kelvin-Voigt solid. Findings for these unsaturated soils include viscous damping and stiffness which differ significantly for shear and compressional waves. A strong viscous damping is observed in compression, but weak damping is presented in shear. Lumped parameter constitutive models are discussed which mathematically represent the soil dynamics.</p>
<p>It appears that, in the case of unsaturated soils, the relatively low level of viscous damping in shear may be explained by the low mass of the air in the pores. That is, it is difficult for inertial decoupling to occur between the soil frame and the pore fluid when the pore fluid (air) is of such low density. Thus, a pore fluid in coupled motion with the frame can not produce significant viscous drag. On the other hand, large viscous damping is observed for compressional waves. This larger damping may be due to the larger relative motions between air and frame which can be forced by compression of the frame matrix. These observations may be relevant in areas such as the design of driven piles and the estimation of potential for damages from vibrations due to construction.</p>

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<author>Paul Michaels</author>


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<title>Use of Geophysics to Aid in Mapping Basalts Relevant to Ground Water Flow and a Landslide Hazard at Hagerman Fossil Beds National Monument</title>
<link>http://works.bepress.com/paul_michaels/6</link>
<guid isPermaLink="true">http://works.bepress.com/paul_michaels/6</guid>
<pubDate>Tue, 11 May 2010 16:10:34 PDT</pubDate>
<description>
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	<p>The landslides at Hagerman Fossil Beds National Monument (HAFO) are apparently a consequence of saturation of the loosely consolidated Glenns Ferry sediments.  The groundwater system is fed by leakage from unlined irrigation canals lying immediately above these locations on the plateau to the northwest.  The main feeder canal to the system is the Fossil Gulch Canal which transports over 60.0 million m<sup>3</sup> of water during the five to six month irrigation season.  Estimates suggest that as much as 10% of this volume is lost each irrigation season to leakage.  Because of canal leakage, as many as four perched aquifers have been created which outcrop on the hillsides within the Monument.  Immediately north and east of the most significant paleontological site (the Horse Quarry), nearly 617,000 m<sup>3</sup> of seepage occurs annually from numerous location.</p>
<p>In 1994, a seismic refraction study was commissioned by Idaho Power Company to help HAFO upgrade its resource protection program through the identification of additional monitoring well locations.  These monitoring wells would also have the potential for serving as dewatering wells.  The refraction study was successful in mapping the extent and structure of the Shoestring Road Basalt in the area of the Fossil Gulch Canal and the Horse Quarry.  Results of this study suggest that the orientation of the basalt flow funnels the ground waters from the leaking canal towards the cliffs containing the fossil beds.</p>

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<author>Paul Michaels et al.</author>


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<title>Final Report: Geophysical Investigation of the Soil Profile, US95 Bridge, Weiser, Idaho, Project no BR-3110(127), Key no. 7832</title>
<link>http://works.bepress.com/paul_michaels/5</link>
<guid isPermaLink="true">http://works.bepress.com/paul_michaels/5</guid>
<pubDate>Mon, 10 May 2010 12:33:01 PDT</pubDate>
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<author>Paul Michaels</author>


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<title>Identification of Subsonic &lt;em&gt;P&lt;/em&gt;-Waves</title>
<link>http://works.bepress.com/paul_michaels/4</link>
<guid isPermaLink="true">http://works.bepress.com/paul_michaels/4</guid>
<pubDate>Thu, 06 May 2010 14:19:40 PDT</pubDate>
<description>
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	<p>A field trial was conducted to test the existence of subsonic (<em>V<sub>p</sub></em> <331 m>/s) <em>P</em>-waves previously reported in the literature. A 1-m-long reverse profile was acquired with three-component (3C) geophones on a sandy silt (unified classification ML). The silt had a porosity of 54%, a degree of water saturation of 63%, and a plasticity index of 10. No subsonic <em>P</em>-waves were observed, although high frequency (up to 1200 Hz) Rayleigh waves were identified by hodogram analysis. These surface waves were observed with horizontal velocities that varied from 40 to 200 m/s. Hodogram observations and theory suggest that a portion of the data were also in the near-field.</p>

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<author>Paul Michaels</author>


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<title>Water, Inertial Damping, and the Complex Shear Modulus</title>
<link>http://works.bepress.com/paul_michaels/2</link>
<guid isPermaLink="true">http://works.bepress.com/paul_michaels/2</guid>
<pubDate>Thu, 06 May 2010 14:19:39 PDT</pubDate>
<description>
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	<p>The author proposes an alternative to the traditional representation of soil damping. Rather than using damping ratio, this author advocates using viscosity as the specific soil property, especially for saturated permeable soils. Thus represented, the imaginary part of the complex shear modulus will vary directly with frequency. The point is particularly relevant in cases where the water table may change, thus affecting the dynamic design of foundations or structures composed of soils.</p>

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<author>Paul Michaels</author>


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<title>Relating Damping to Soil Permeability</title>
<link>http://works.bepress.com/paul_michaels/3</link>
<guid isPermaLink="true">http://works.bepress.com/paul_michaels/3</guid>
<pubDate>Thu, 06 May 2010 14:19:39 PDT</pubDate>
<description>
	<![CDATA[
	<p>Published comparisons of complex moduli in dry and saturated soils have shown that viscous behavior is only evident when a sufficiently massive viscous fluid (like water) is present. That is, the loss tangent is frequency dependent for water saturated specimens, but nearly frequency independent for dry samples. While the Kelvin-Voigt (KV) representation of a soil captures the general viscous behavior using a dashpot, it fails to account for the possibly separate motions of the fluid and frame (there is only a single mass element). An alternative representation which separates the two masses, water and frame, is presented here. This Kelvin-Voigt-Maxwell-Biot (KVMB) model draws on elements of the long standing linear viscoelastic models in a way that connects the viscous damping to permeability and inertial mass coupling. A mathematical mapping between the KV and KVMB representations is derived and permits continued use of the KV model, while retaining an understanding of the separate mass motions.</p>

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<author>Paul Michaels</author>


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<title>Use of Principal Component Analysis to Determine Down-hole Tool Orientation and Enhance SH-Waves</title>
<link>http://works.bepress.com/paul_michaels/1</link>
<guid isPermaLink="true">http://works.bepress.com/paul_michaels/1</guid>
<pubDate>Thu, 06 May 2010 14:19:38 PDT</pubDate>
<description>
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	<p>A common problem in down-hole shear wave surveys is the determination of the tool rotation relative to the seismic source polarization direction. This paper reports an algorithm which has been developed to solve for this angle in the horizontal plane. The method employs Principal Component Analysis (PCA) to determine the angle from the large motion of the SH-wave (not first motion). Once the angle is known, the horizontal component data may be rotated so that one component is aligned with the source polarization, and the other orthogonal to it.</p>
<p>Significant findings include the following. First, subtraction of oppositely polarized source efforts improves the PCA formulation by enhancing the S-waves. Second, the Swave enhancement is improved by scaling the oppositely polarized source efforts by the vertical (not horizontal) component data, as this provides a better attenuation of non-Swave energy. Third, observation of the tool orientation as it exits the borehole is helpful in resolving the 180 degree azimuthal ambiguity in the PCA approach. Finally, the polarization of the source radiation may drift relative to the axis of the source during a survey, and should not be assumed invariant.</p>

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<author>Paul Michaels</author>


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