<?xml version="1.0" encoding="ISO-8859-1"?><article xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance">
<front>
<journal-meta>
<journal-id>1794-6190</journal-id>
<journal-title><![CDATA[Earth Sciences Research Journal]]></journal-title>
<abbrev-journal-title><![CDATA[Earth Sci. Res. J.]]></abbrev-journal-title>
<issn>1794-6190</issn>
<publisher>
<publisher-name><![CDATA[Universidad Nacional de Colombia]]></publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id>S1794-61902009000200004</article-id>
<title-group>
<article-title xml:lang="en"><![CDATA[CRS SEISMIC PROCESSING OF A GEOLOGICAL COMPLEX AREA]]></article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Jiménez]]></surname>
<given-names><![CDATA[Eduardo]]></given-names>
</name>
<xref ref-type="aff" rid="A01"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Vargas]]></surname>
<given-names><![CDATA[Carlos A]]></given-names>
</name>
<xref ref-type="aff" rid="A02"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Montes]]></surname>
<given-names><![CDATA[Luis A]]></given-names>
</name>
<xref ref-type="aff" rid="A03"/>
</contrib>
</contrib-group>
<aff id="A01">
<institution><![CDATA[,Geoseimic Ltda  ]]></institution>
<addr-line><![CDATA[ ]]></addr-line>
</aff>
<aff id="A02">
<institution><![CDATA[,University of Texas Institute for Geophysics ]]></institution>
<addr-line><![CDATA[ ]]></addr-line>
</aff>
<aff id="A03">
<institution><![CDATA[,Universidad Nacional de Colombia Departamento de Geociencias ]]></institution>
<addr-line><![CDATA[Bogotá ]]></addr-line>
</aff>
<pub-date pub-type="pub">
<day>00</day>
<month>12</month>
<year>2009</year>
</pub-date>
<pub-date pub-type="epub">
<day>00</day>
<month>12</month>
<year>2009</year>
</pub-date>
<volume>13</volume>
<numero>2</numero>
<fpage>134</fpage>
<lpage>139</lpage>
<copyright-statement/>
<copyright-year/>
<self-uri xlink:href="http://www.scielo.org.co/scielo.php?script=sci_arttext&amp;pid=S1794-61902009000200004&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://www.scielo.org.co/scielo.php?script=sci_abstract&amp;pid=S1794-61902009000200004&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://www.scielo.org.co/scielo.php?script=sci_pdf&amp;pid=S1794-61902009000200004&amp;lng=en&amp;nrm=iso"></self-uri><abstract abstract-type="short" xml:lang="en"><p><![CDATA[We applied the NMO and CRS (Common Reflector Surface) approaches to a complex geological area in order to compare their performances for obtaining enhanced images. Unlike NMO, CRS does not depend on a previous time velocity model and uses a hyperbolic equation to estimate 2D travel times through three parameters (Normal ray emergence angle, NIP and N wavefront curvatures). To obtain the image a solution provided by coherence analysis algorithm was used. A low quality Colombian seismic line acquired in Middle Magdalena basin was used, where a foothill geological area is characterized by a thrusting fault. The CRS provided an enhanced image which allowed a new geological interpretation that is best constrained with other regional observations.]]></p></abstract>
<abstract abstract-type="short" xml:lang="en"><p><![CDATA[El propósito de esta investigación es comparar las técnicas de Superficie Común de Reflexión (CRS) y Normal Move Out (NMO) en su desempeño en zonas geológicamente complejas, procurando imágenes sísmicas de mejor calidad. A diferencia del NMO, el CRS no depende de un modelo previo de velocidad y usa una ecuación hiperbólica de tiempos de viaje 2D dependiente de tres parámetros (ángulo de emergencia del rayo normal, curvatura de la onda de punto de incidencia normal y curvatura de la onda normal). Para obtener la imagen se usó una solución provista por un algoritmo de análisis de coherencia. Se usó una línea sísmica de baja calidad adquirida en la cuenca del Valle Medio del Magdalena - Colombia, en una zona de pie de monte caracterizada por una falla de cabalgamiento. El CRS suministró una imagen mejorada que permitió una nueva interpretación geológica que se ajusta mejora con otras observaciones regionales.]]></p></abstract>
<kwd-group>
<kwd lng="en"><![CDATA[Common Reflection Surface (CRS) stack]]></kwd>
<kwd lng="en"><![CDATA[Zero-offset (ZO)]]></kwd>
<kwd lng="en"><![CDATA[Normal Moveout Correction (NMO)]]></kwd>
<kwd lng="en"><![CDATA[Common Mid Point (CMP)]]></kwd>
<kwd lng="en"><![CDATA[superficie común de reflexión CRS]]></kwd>
<kwd lng="en"><![CDATA[Zero-offset (ZO)]]></kwd>
<kwd lng="en"><![CDATA[corrección por sobre tiempo normal (NMO)]]></kwd>
<kwd lng="en"><![CDATA[punto medio (CMP)]]></kwd>
</kwd-group>
</article-meta>
</front><body><![CDATA[  <font face="verdana" size="2">     <p align="center"><font size="4"><b>CRS SEISMIC PROCESSING OF A GEOLOGICAL COMPLEX AREA</b></font></p>     <p align="center"><b><i>Eduardo Jim&eacute;nez<sup>1</sup>, Carlos A. Vargas<sup>2</sup>'<sup>3</sup> and Luis A. Montes<sup>3</sup></i></b></p>     <p align="center"><i><sup>1 </sup>Geoseimic Ltda. e-mail: </i><a href="mailto:Eduardo.jimenez@cable.net.co"><i>Eduardo.jimenez@cable.net.co</i></a></p>     <p align="center"><i><sup>2 </sup>Institute for Geophysics, University of Texas </i></p>     <p align="center"><i><sup>3</sup> Departamento de Geociencias, Universidad Nacional de Colombia, Bogot&aacute;. e-mail: </i><a href="mailto:lamontesv@unal.edu.co"><i>lamontesv@unal.edu.co</i></a></p>     <p align="center">Manuscript received: 10/06/2009 Accepted for publication: 26/10/2009</p> <hr>     <p><b>ABSTRACT</b></p>     <p>We applied the NMO and CRS (Common Reflector Surface) approaches to a complex geological area in order to compare their performances for obtaining enhanced images. Unlike NMO, CRS does not depend on a previous time velocity model and uses a hyperbolic equation to estimate 2D travel times through three parameters (Normal ray emergence angle, NIP and N wavefront curvatures). To obtain the image a solution provided by coherence analysis algorithm was used.</p>     <p>A low quality Colombian seismic line acquired in Middle Magdalena basin was used, where a foothill geological area is characterized by a thrusting fault. The CRS provided an enhanced image which allowed a new geological interpretation that is best constrained with other regional observations.</p>     ]]></body>
<body><![CDATA[<p><b><i>Key words: </i></b>Common Reflection Surface (CRS) stack, Zero-offset (ZO), Normal Moveout Correction (NMO), Common Mid Point (CMP)</p> <hr>     <p><b>RESUMEN</b></p>     <p>El prop&oacute;sito de esta investigaci&oacute;n es comparar las t&eacute;cnicas de Superficie   Com&uacute;n de Reflexi&oacute;n (CRS) y Normal Move Out (NMO) en su desempe&ntilde;o en zonas   geol&oacute;gicamente complejas, procurando im&aacute;genes s&iacute;smicas de mejor calidad. A   diferencia del NMO, el CRS no depende de un modelo previo de velocidad y usa una   ecuaci&oacute;n hiperb&oacute;lica de tiempos de viaje 2D dependiente de tres par&aacute;metros   (&aacute;ngulo de emergencia del rayo normal, curvatura de la onda de punto de   incidencia normal y curvatura de la onda normal). Para obtener la imagen se us&oacute;   una soluci&oacute;n provista por un algoritmo de an&aacute;lisis de coherencia.</p>     <p>Se us&oacute; una l&iacute;nea s&iacute;smica de baja calidad adquirida en la cuenca del Valle   Medio del Magdalena - Colombia, en una zona de pie de monte caracterizada por   una falla de cabalgamiento. El CRS suministr&oacute; una imagen mejorada que permiti&oacute;   una nueva interpretaci&oacute;n geol&oacute;gica que se ajusta mejora con otras observaciones   regionales.</p>     <p><b><i>Palabras clave: </i></b>superficie com&uacute;n de reflexi&oacute;n CRS, Zero-offset (ZO), correcci&oacute;n por sobre tiempo normal (NMO), punto medio (CMP)</p> <hr>     <p><font size="3"><b>Introduction</b></font></p>     <p>The CRS method has been considered an attractive stacking method to provide improved zero offset sections (Trappe et al., 2001; Hertweck <i>et al., </i>2007).</p>     <p>In Colombian a known example with the CRS applied to complex areas does not exist, although there is a reported paper with CRS applied to a mild topography and quiet tectoni-cally zone with relevant results (Cárdenas and Montes, 2006). In complex tectonically areas seismic tests are hampered by several factors that often lead to low quality seismic images with ravel reflectors, due to poor signal/noise ratio or weak seismic signal focusing.</p>     <p>In order to compare NMO and CRS performances in complex zones, a low quality seismic line of the Middle Magdalena basin was used. The area includes a thrust fault in the foothill zone. Instead of stack velocities CRS used parameters picked automatically by a coherence analysis algorithm (Birgin <i>et al., </i>1999).</p>     <p>As result, an enhanced CRS image allowed a new geological interpretation.</p>     ]]></body>
<body><![CDATA[<p><font size="3"><b>CRS method</b></font></p>     <p>The <i>CRS </i>stack is a theoretically well established method (Jager <i>et al., </i>2001; Mann <i>et al., </i>1999; Tygel <i>et al., </i>1997). It considers layers separated by curved reflectors whose reflection comes from a reflecting segment. A second order approximation of transmitted and reflected travelime rays in seismic system was developed (Bortfeld, 1989). A multi-covering seismic data set is acquired over a set of homogeneous and isotropic layers, with arbitrary velocities separated by smooth interfaces.</p>     <p>The seismic system is defined by a zero offset ray, called Central ray, which incidences normally on the reflector.</p>     <p>In a second order approximation around central point (<i>X<sub>0</sub></i>) the travel time of the <i>SRG </i>ray is approximated by the hyperbolic function:</p>     <p align="center"><img src="img/revistas/esrj/v13n2/v13n2a04-1.jpg"></p>     <p>According <a href="#f1">Figure 1</a>, <i>x = (G + S)/2 </i>is the common midpoint, <i>h = (G- S)/2) </i>is half offset, V0 is the near surface velocity and &beta; and <i>t<sub>0</sub></i><i> </i>are angle of emergence and travel time of the Central ray. <i>K<sub>NIP</sub> </i>is the wavefront curvature of a hypothetical wave with the source located at point NIP <i>K<sub>N</sub> </i>is the wavefront curvatures of an exploding reflector segment around point NIP.</p>     <p align="center"><a name="f1"><img src="img/revistas/esrj/v13n2/v13n2a04-2.jpg"></a></p>     <p>A more deep and complete theoretical development about CRS can be revised in others references (Bortfeld, 1989; Tygel <i>etal, </i>1997)</p>     <p><font size="3"><b>Procedure</b></font></p>     <p>The NMO stacked section was obtained by a current seismic processing sequence in ProMAX&reg;. Due to CRS does not require a previous known velocity model the velocity analysis and stacking steps were replaced by searching and optimizing local and global CRS parameters through coherence analysis solution until obtain an optimized stacked section. This equivalent step was done using MPT&reg; (a Numerica's software trade mark). After stacking, the NMO and CRS images were filtered and enhanced applying the same ProMAX sequences. A flow diagram of both sequences is shown in <a href="#f2">Figure 2</a>.</p>     ]]></body>
<body><![CDATA[<p align="center"><a name="f2"><img src="img/revistas/esrj/v13n2/v13n2a04-4.jpg"></a></p>     <p><font size="3"><b>Search of </b><b>CRS </b><b>parameters</b></font></p>     <p>This non conventional procedure replaces the NMO analysis and stacking currently used in seismic processing sequences. The whole procedure is explained in the following sequence of steps with a visual description in the flow chart of <a href="#f3">Figure 3</a>, as was defined by Muller (Muller, 1999)</p>     <p align="center"><a name="f3"><img src="img/revistas/esrj/v13n2/v13n2a04-7.jpg"></a></p>     <p>The first step is to estimate <i>V<sub>NMO</sub> </i>from <i>CMP </i>gathers at point <i>x=x<sub>0</sub></i>, this reduces equation 1 to: </p>     <p align="center"><img src="img/revistas/esrj/v13n2/v13n2a04-3.jpg"></p>     <p>This step is an NMO velocity analysis and stacking which provides an initial simulated ZO section (zero-offset).</p>     <p>In the second step &beta; is searched. For that, the reflectors in anterior ZO section are considered locally flat, i.e. case of small apertures (<i>K<sub>N</sub> =0</i>), that simplifies equation 1:</p>     <p align="center"><img src="img/revistas/esrj/v13n2/v13n2a04-5.jpg"></p>     <p>In the third step &beta; is known and with the equation in zero offset configuration, <i>K<sub>N</sub> </i>value is estimated from ZO section.</p>     ]]></body>
<body><![CDATA[<p>Finally the K<sub>NIP</sub> is calculated using the &beta; parameter and the expression</p>     <p align="center"><img src="img/revistas/esrj/v13n2/v13n2a04-6.jpg"></p>     <p><font size="3"><b>Geological setting</b></font></p>     <p>Geologically the area has been deformed by thrusting associated to compressive tectonic events. In the area a monocline dips to the East and the basement outcrops at West. The cretaceous rocks are below a gently dip Eastward Tertiary sequence, as seen in <a href="#f4">Figure 4</a>. Different structural styles are observed: a first thrust with East vergence, a second one with West vergence and a lineation and NE-SW strike slip fault system.</p>     <p align="center"><a name="f4"><img src="img/revistas/esrj/v13n2/v13n2a04-8.jpg"></a></p>     <p>A low to high dip thrust fault emerges in surface with a high inclination. This fault causes the repetition of the cretaceous sequence which was observed in the well sited at West. A second fault inferred from seismic section, allows the elevation of basement over the footwall block below the fault. A tertiary detachment fault interpreted in the seismic section was observed in the cartographic recognition of the area.</p>     <p><font size="3"><b>Discussion and results</b></font></p>     <p>An E-W acquired seismic line was selected to be processed by the two methods in order to compare their performances in producing the seismic images. At East side of the thrust fault a well allowed to identify the stratigraphic units in the seismic section.</p>     <p>This seismic line was previously processed using a conventional flow of processing to obtain a PSTM section, shown in <a href="#f5">Figure 5</a>.</p>     <p align="center"><a name="f5"><img src="img/revistas/esrj/v13n2/v13n2a04-9.jpg"></a></p>     ]]></body>
<body><![CDATA[<p>In that figure is observed two different behaviors at left and right of the thrust fault. A set of clear and continuous reflector with gentle dips can be seen from 2200 ms to 400 ms at right of the fault, whereas al right is almost impossible to identify a reflector.</p>     <p>The seismic line was properly processed applying a conventional sequence flow with a careful selection of parameters, as result a new stacked section was obtained, providing also a more reliable NMO velocity model to be used as starting model in CRS method.</p>     <p>The stacked section is displayed in the <a href="#f6">figure 6</a>, where is evident the enhancement of the image compared with that other in <a href="#f5">figure 5</a>.</p>     <p align="center"><a name="f6"><img src="img/revistas/esrj/v13n2/v13n2a04-10.jpg"></a></p>     <p>After the CRS processing a better image is showed the stacked section included in <a href="#f7">Figure 7</a>. In <a href="#f6">figure 6</a> the reflectors appear weaker, strong and less coherent can be seen with a better continuity, with low noise and besides that the image owns more seismic events in the shallow part.</p>     <p align="center"><a name="f7"><img src="img/revistas/esrj/v13n2/v13n2a04-11.jpg"></a></p>     <p>Compared with NMO stack section the CRS is a more enhanced and allow to constraints the monoclonal structure descripted in the geological setting section.</p>     <p>To compare the quality of the images a S/N content evaluation was made. First the noise was isolated from the signal in the image through band pass filters and then respective spectral analysis's were done. The results are depicted in <a href="#f9">Figure 9</a>, at top for NMO image and at bottom CRS image. Comparing the <a href="#f9">figures 9a</a> and <a href="#f9">9b</a> the random noise level is reduced from 27.8% in NMO image to 17.9 % in CRS image. It represents a significant improvement in signal to noise ratio and in consequence a rising in the seismic resolution.</p>     <p>A post-stack CRS migrated section was interpreted using the software Geographix (Landmark Graphics Co&reg;). The change in the quality of the image permitted a new geological interpretation matching the seismic section with the lithological units identified in the stratigraphic column and the borehole logs (<a href="#f8">Figure 8</a>).</p>     <p align="center"><a name="f8"><img src="img/revistas/esrj/v13n2/v13n2a04-12.jpg"></a></p>     ]]></body>
<body><![CDATA[<p>A schematic geological section was extracted from the interpretation and depicted in the <a href="#f10">Figure 10</a>.</p>     <p align="center"><a name="f9"><img src="img/revistas/esrj/v13n2/v13n2a04-13.jpg"></a></p>     <p align="center"><a name="f10"><img src="img/revistas/esrj/v13n2/v13n2a04-14.jpg"></a></p>     <p>The difference among the geological interpretation gotten in <a href="#f3">Figure 3</a> and the interpreted in <a href="#f10">Figure 10</a> is evident.</p>     <p>This new interpretation is due to the enhanced quality of the new obtained CRS image.</p>     <p><font size="3"><b>Conclusions</b></font></p>     <p>A low quality Colombian seismic line acquired in Middle Magdalena basin was processed using the NMO and the CRS techniques looking for an enhanced of the image on a thrusting fault. The CRS provided an improved image which allowed a new geological interpretation that is best constrained with other regional observations. Our observations suggest that the <i>CRS </i>technique improves the imaging of complex areas and constitutes an alternative in seismic processing. <i>CRS-2D </i>method generated seismic sections of good quality without knowledge of subsurface velocity model, essential in expensive process like pre-stack migrations.</p>     <p>Performance of <i>CRS </i>methods in thrusting zone, allowed a new interpretation and geologic model. Futures works should emphasize the <i>CRS </i>technology in <i>3-D </i>data and use the information given by <i>CRS, </i>attributes in tomography inversion, <i>AVO, </i>migration and coherent cube analysis.</p>     <p><font size="3"><b>Acknowledgements</b></font></p>     <p>The authors express grateful to Landmark Graphics Co. Latin America to provide ProMAX and Geographix software and Numerica Ltda to permit the use of MPT (Multiparmetric Processing Tool) software implemented with <i>CRS.</i></p>     ]]></body>
<body><![CDATA[<p><font size="3"><b>Bibliography</b></font></p>     <!-- ref --><p>Birgin, E., Biloti, R., Tygel, M. and Santos, L. Restricted optimization: a clue to a fast and accurate implementation of the Common Reflection Surface Stack&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;[&#160;<a href="javascript:void(0);" onclick="javascript: window.open('/scielo.php?script=sci_nlinks&ref=000074&pid=S1794-6190200900020000400001&lng=','','width=640,height=500,resizable=yes,scrollbars=1,menubar=yes,');">Links</a>&#160;]<!-- end-ref --><!-- ref --><p>Method. Journal of Applied Geophysics. Vol, 42, Issues 3-4. P 143-155.&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;[&#160;<a href="javascript:void(0);" onclick="javascript: window.open('/scielo.php?script=sci_nlinks&ref=000075&pid=S1794-6190200900020000400002&lng=','','width=640,height=500,resizable=yes,scrollbars=1,menubar=yes,');">Links</a>&#160;]<!-- end-ref --><!-- ref --><p>Bortfeld, R., 1989, Geometrical ray theory: Rays and travel times in seismic systems (second-order approximations of the travel times: Geophysics, Vol 54 No. 3 P 342-349.&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;[&#160;<a href="javascript:void(0);" onclick="javascript: window.open('/scielo.php?script=sci_nlinks&ref=000076&pid=S1794-6190200900020000400003&lng=','','width=640,height=500,resizable=yes,scrollbars=1,menubar=yes,');">Links</a>&#160;]<!-- end-ref --><!-- ref --><p>Cardenas, A., and Montes, L. 2006, Stacking on commonreflection surface with multiparameter traveltime. Vol. 10, No. 2, Earth Sci. Res. J. P 91-103.&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;[&#160;<a href="javascript:void(0);" onclick="javascript: window.open('/scielo.php?script=sci_nlinks&ref=000077&pid=S1794-6190200900020000400004&lng=','','width=640,height=500,resizable=yes,scrollbars=1,menubar=yes,');">Links</a>&#160;]<!-- end-ref --><!-- ref --><p>Hubral, P., 1983, Computing true amplitude reflections in a laterally inhomogeneous earth: Geophysics, 48 No. 8, P 1051 - 1062.&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;[&#160;<a href="javascript:void(0);" onclick="javascript: window.open('/scielo.php?script=sci_nlinks&ref=000078&pid=S1794-6190200900020000400005&lng=','','width=640,height=500,resizable=yes,scrollbars=1,menubar=yes,');">Links</a>&#160;]<!-- end-ref --><!-- ref --><p>Hertweck, T., Schleicher, J., Mann, J. 2007. Data Stacking Beyond CMP: The Leading Edge. V 26, No.7. P818-827.&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;[&#160;<a href="javascript:void(0);" onclick="javascript: window.open('/scielo.php?script=sci_nlinks&ref=000079&pid=S1794-6190200900020000400006&lng=','','width=640,height=500,resizable=yes,scrollbars=1,menubar=yes,');">Links</a>&#160;]<!-- end-ref --><!-- ref --><p>Jager, R., Mann, J., Hocht, G., Hubral P. 2001. Commonre-flection Surface Stack: Image and attributes. Geophysics Vol 66 No. 1, P 97- 109.&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;[&#160;<a href="javascript:void(0);" onclick="javascript: window.open('/scielo.php?script=sci_nlinks&ref=000080&pid=S1794-6190200900020000400007&lng=','','width=640,height=500,resizable=yes,scrollbars=1,menubar=yes,');">Links</a>&#160;]<!-- end-ref --><!-- ref --><p>Mann, J., Jager, R., Muller, T., Hocht, G., and Hubral, P., 1999, Common-reflection- surface-stack a real data example: Journal of Applied Geophysics, 42, 301 - 318.&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;[&#160;<a href="javascript:void(0);" onclick="javascript: window.open('/scielo.php?script=sci_nlinks&ref=000081&pid=S1794-6190200900020000400008&lng=','','width=640,height=500,resizable=yes,scrollbars=1,menubar=yes,');">Links</a>&#160;]<!-- end-ref --><!-- ref --><p>Neidel, N., and Taner, M., 1971, Semblance and other coherency measures for multichannel data: Geophysics, 36, 482-497.&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;[&#160;<a href="javascript:void(0);" onclick="javascript: window.open('/scielo.php?script=sci_nlinks&ref=000082&pid=S1794-6190200900020000400009&lng=','','width=640,height=500,resizable=yes,scrollbars=1,menubar=yes,');">Links</a>&#160;]<!-- end-ref --><!-- ref --><p>Muller, T., 1999, The common Reflection Surface Stack Surface stack Method - Seismic imaging without explicit knowledge of the velocity model: Ph. D. thesis, University of Karlsruhe.&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;[&#160;<a href="javascript:void(0);" onclick="javascript: window.open('/scielo.php?script=sci_nlinks&ref=000083&pid=S1794-6190200900020000400010&lng=','','width=640,height=500,resizable=yes,scrollbars=1,menubar=yes,');">Links</a>&#160;]<!-- end-ref --><!-- ref --><p>Tygel, M., Muller, T., Hubral, P., and Schleicher, J., 1997, Eigenwave base multiparameter traveltime expansion: 67<sup>th</sup> Annual Internat. Mtg. Soc. Expl, Geophys 1770 -1773.&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;[&#160;<a href="javascript:void(0);" onclick="javascript: window.open('/scielo.php?script=sci_nlinks&ref=000084&pid=S1794-6190200900020000400011&lng=','','width=640,height=500,resizable=yes,scrollbars=1,menubar=yes,');">Links</a>&#160;]<!-- end-ref --><!-- ref --><p>Vieth, K., 2001, Kinematic wavefield attributes in seismic imaging. Ph.D. thesis, University at Karlsruhe.&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;[&#160;<a href="javascript:void(0);" onclick="javascript: window.open('/scielo.php?script=sci_nlinks&ref=000085&pid=S1794-6190200900020000400012&lng=','','width=640,height=500,resizable=yes,scrollbars=1,menubar=yes,');">Links</a>&#160;]<!-- end-ref --><!-- ref --><p>Trappe, H., Gierse, G. and Pruessmann, J., 2001. Case studies show potential of Common Surface stack structural resolution in time domain beyond the conventional NMO/DMO stack. First Break, 625- 633. Special topic. Nov.&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;[&#160;<a href="javascript:void(0);" onclick="javascript: window.open('/scielo.php?script=sci_nlinks&ref=000086&pid=S1794-6190200900020000400013&lng=','','width=640,height=500,resizable=yes,scrollbars=1,menubar=yes,');">Links</a>&#160;]<!-- end-ref --> ]]></body><back>
<ref-list>
<ref id="B1">
<nlm-citation citation-type="">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Birgin]]></surname>
<given-names><![CDATA[E]]></given-names>
</name>
<name>
<surname><![CDATA[Biloti]]></surname>
<given-names><![CDATA[R]]></given-names>
</name>
<name>
<surname><![CDATA[Tygel]]></surname>
<given-names><![CDATA[M]]></given-names>
</name>
<name>
<surname><![CDATA[Santos]]></surname>
<given-names><![CDATA[L]]></given-names>
</name>
</person-group>
<source><![CDATA[Restricted optimization: a clue to a fast and accurate implementation of the Common Reflection Surface Stack]]></source>
<year></year>
</nlm-citation>
</ref>
<ref id="B2">
<nlm-citation citation-type="journal">
<article-title xml:lang="en"><![CDATA[Method]]></article-title>
<source><![CDATA[Journal of Applied Geophysics]]></source>
<year></year>
<volume>42</volume>
<numero>3</numero><numero>4</numero>
<issue>3</issue><issue>4</issue>
<page-range>143-155</page-range></nlm-citation>
</ref>
<ref id="B3">
<nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Bortfeld]]></surname>
<given-names><![CDATA[R]]></given-names>
</name>
</person-group>
<article-title xml:lang="en"><![CDATA[Geometrical ray theory: Rays and travel times in seismic systems (second-order approximations of the travel times]]></article-title>
<source><![CDATA[Geophysics]]></source>
<year>1989</year>
<volume>54</volume>
<numero>3</numero>
<issue>3</issue>
<page-range>342-349</page-range></nlm-citation>
</ref>
<ref id="B4">
<nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Cardenas]]></surname>
<given-names><![CDATA[A]]></given-names>
</name>
<name>
<surname><![CDATA[Montes]]></surname>
<given-names><![CDATA[L]]></given-names>
</name>
</person-group>
<article-title xml:lang="en"><![CDATA[Stacking on commonreflection surface with multiparameter traveltime]]></article-title>
<source><![CDATA[Earth Sci. Res. J]]></source>
<year>2006</year>
<page-range>91-103</page-range></nlm-citation>
</ref>
<ref id="B5">
<nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Hubral]]></surname>
<given-names><![CDATA[P]]></given-names>
</name>
</person-group>
<article-title xml:lang="en"><![CDATA[Computing true amplitude reflections in a laterally inhomogeneous earth]]></article-title>
<source><![CDATA[Geophysics]]></source>
<year>1983</year>
<volume>48</volume>
<numero>8</numero>
<issue>8</issue>
<page-range>1051 - 1062</page-range></nlm-citation>
</ref>
<ref id="B6">
<nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Hertweck]]></surname>
<given-names><![CDATA[T]]></given-names>
</name>
<name>
<surname><![CDATA[Schleicher]]></surname>
<given-names><![CDATA[J]]></given-names>
</name>
<name>
<surname><![CDATA[Mann]]></surname>
<given-names><![CDATA[J]]></given-names>
</name>
</person-group>
<article-title xml:lang="en"><![CDATA[Data Stacking Beyond CMP]]></article-title>
<source><![CDATA[The Leading Edge]]></source>
<year>2007</year>
<volume>26</volume>
<numero>7</numero>
<issue>7</issue>
<page-range>P818-827</page-range></nlm-citation>
</ref>
<ref id="B7">
<nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Jager]]></surname>
<given-names><![CDATA[R]]></given-names>
</name>
<name>
<surname><![CDATA[Mann]]></surname>
<given-names><![CDATA[J]]></given-names>
</name>
<name>
<surname><![CDATA[Hocht]]></surname>
<given-names><![CDATA[G]]></given-names>
</name>
<name>
<surname><![CDATA[Hubral]]></surname>
<given-names><![CDATA[P]]></given-names>
</name>
</person-group>
<article-title xml:lang="en"><![CDATA[Commonre-flection Surface Stack: Image and attributes]]></article-title>
<source><![CDATA[Geophysics]]></source>
<year>2001</year>
<volume>66</volume>
<numero>1</numero>
<issue>1</issue>
<page-range>97- 109</page-range></nlm-citation>
</ref>
<ref id="B8">
<nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Mann]]></surname>
<given-names><![CDATA[J]]></given-names>
</name>
<name>
<surname><![CDATA[Jager]]></surname>
<given-names><![CDATA[R]]></given-names>
</name>
<name>
<surname><![CDATA[Muller]]></surname>
<given-names><![CDATA[T]]></given-names>
</name>
<name>
<surname><![CDATA[Hocht]]></surname>
<given-names><![CDATA[G]]></given-names>
</name>
<name>
<surname><![CDATA[Hubral]]></surname>
<given-names><![CDATA[P]]></given-names>
</name>
</person-group>
<article-title xml:lang="en"><![CDATA[Common-reflection- surface-stack a real data example]]></article-title>
<source><![CDATA[Journal of Applied Geophysics]]></source>
<year>1999</year>
<volume>42</volume>
<page-range>301 - 318</page-range></nlm-citation>
</ref>
<ref id="B9">
<nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Neidel]]></surname>
<given-names><![CDATA[N]]></given-names>
</name>
<name>
<surname><![CDATA[Taner]]></surname>
<given-names><![CDATA[M]]></given-names>
</name>
</person-group>
<article-title xml:lang="en"><![CDATA[Semblance and other coherency measures for multichannel data]]></article-title>
<source><![CDATA[Geophysics]]></source>
<year>1971</year>
<volume>36</volume>
<page-range>482-497</page-range></nlm-citation>
</ref>
<ref id="B10">
<nlm-citation citation-type="">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Muller]]></surname>
<given-names><![CDATA[T]]></given-names>
</name>
</person-group>
<source><![CDATA[The common Reflection Surface Stack Surface stack Method - Seismic imaging without explicit knowledge of the velocity model]]></source>
<year>1999</year>
</nlm-citation>
</ref>
<ref id="B11">
<nlm-citation citation-type="confpro">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Tygel]]></surname>
<given-names><![CDATA[M]]></given-names>
</name>
<name>
<surname><![CDATA[Muller]]></surname>
<given-names><![CDATA[T]]></given-names>
</name>
<name>
<surname><![CDATA[Hubral]]></surname>
<given-names><![CDATA[P]]></given-names>
</name>
<name>
<surname><![CDATA[Schleicher]]></surname>
<given-names><![CDATA[J]]></given-names>
</name>
</person-group>
<source><![CDATA[Eigenwave base multiparameter traveltime expansion]]></source>
<year>1997</year>
<conf-name><![CDATA[67 Annual Internat. Mtg. Soc. Expl, Geophys]]></conf-name>
<conf-loc> </conf-loc>
<page-range>1770 -1773</page-range></nlm-citation>
</ref>
<ref id="B12">
<nlm-citation citation-type="">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Vieth]]></surname>
<given-names><![CDATA[K]]></given-names>
</name>
</person-group>
<source><![CDATA[Kinematic wavefield attributes in seismic imaging]]></source>
<year>2001</year>
</nlm-citation>
</ref>
<ref id="B13">
<nlm-citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Trappe]]></surname>
<given-names><![CDATA[H]]></given-names>
</name>
<name>
<surname><![CDATA[Gierse]]></surname>
<given-names><![CDATA[G]]></given-names>
</name>
<name>
<surname><![CDATA[Pruessmann]]></surname>
<given-names><![CDATA[J]]></given-names>
</name>
</person-group>
<source><![CDATA[Case studies show potential of Common Surface stack structural resolution in time domain beyond the conventional NMO/DMO stack]]></source>
<year>2001</year>
<page-range>625- 633</page-range><publisher-name><![CDATA[First Break]]></publisher-name>
</nlm-citation>
</ref>
</ref-list>
</back>
</article>
