<?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>1026-8774</journal-id>
<journal-title><![CDATA[Revista mexicana de ciencias geológicas]]></journal-title>
<abbrev-journal-title><![CDATA[Rev. mex. cienc. geol]]></abbrev-journal-title>
<issn>1026-8774</issn>
<publisher>
<publisher-name><![CDATA[Universidad Nacional Autónoma de México, Instituto de Geología]]></publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id>S1026-87742015000300475</article-id>
<title-group>
<article-title xml:lang="es"><![CDATA[Estimación preliminar de los alcances por caída de bloques en la sierra de La Cabrera, Madrid, España]]></article-title>
<article-title xml:lang="en"><![CDATA[Preliminary estimation of the rockfall travel distance in the sierra de La Cabrera, Madrid, Spain]]></article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Paredes]]></surname>
<given-names><![CDATA[Carlos]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Sarro]]></surname>
<given-names><![CDATA[Roberto]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Ramos]]></surname>
<given-names><![CDATA[Maria]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
</contrib-group>
<aff id="Af1">
<institution><![CDATA[,Universidad Politécnica de Madrid Escuela de Minas y Energía ]]></institution>
<addr-line><![CDATA[Madrid ]]></addr-line>
<country>Spain</country>
</aff>
<aff id="Af2">
<institution><![CDATA[,Instituto Geológico y Minero de España Área de Riesgos Geológicos ]]></institution>
<addr-line><![CDATA[Madrid ]]></addr-line>
<country>España</country>
</aff>
<pub-date pub-type="pub">
<day>00</day>
<month>12</month>
<year>2015</year>
</pub-date>
<pub-date pub-type="epub">
<day>00</day>
<month>12</month>
<year>2015</year>
</pub-date>
<volume>32</volume>
<numero>3</numero>
<fpage>475</fpage>
<lpage>491</lpage>
<copyright-statement/>
<copyright-year/>
<self-uri xlink:href="http://www.scielo.org.mx/scielo.php?script=sci_arttext&amp;pid=S1026-87742015000300475&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://www.scielo.org.mx/scielo.php?script=sci_abstract&amp;pid=S1026-87742015000300475&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://www.scielo.org.mx/scielo.php?script=sci_pdf&amp;pid=S1026-87742015000300475&amp;lng=en&amp;nrm=iso"></self-uri><abstract abstract-type="short" xml:lang="es"><p><![CDATA[RESUMEN Cuando ocurre un desprendimiento de rocas en zonas montañosas, el principal problema para las poblaciones situadas al pie de las laderas, es que el bloque o avalancha rocosa produzca daños personales y/o materiales. Particularmente, el fenómeno de la súbita caída de bloques rocosos en la sierra de La Cabrera (borde sur oriental de la sierra de Guadarrama, Sistema Central Español) ocurre anualmente, con bloques heteromórficos entre 2 y 12 m3. Tras varias campañas de inspección en campo, se ha observado que las áreas desde las que se producen desprendimientos desde este macizo granítico paleozoico, se encuentran en zonas de fuerte inclinación (&gt; 40°), principalmente en los riscos, crestas y agujas graníticas, que se distribuyen a lo largo de 3 km por numerosas zonas de la cumbrera en su vertiente sur. En este trabajo se ha evaluado la susceptibilidad de los desprendimientos en la sierra de La Cabrera en dos etapas: (i) detección y caracterización de zonas donde se origina el desprendimiento de los bloques rocosos y (ii) delimitación y caracterización del área de afectación. Para la ubicación y caracterización de las áreas fuente se han recogido datos geológicos, estructurales y geomorfológicos, los cuales han permitido agrupar los planos de debilidad, principalmente litoclasas, en cuatro familias J1: 80°, 212°; J2: 83°, 155°; J3: 83°, 83°; J4: 13°, 358° y J4*: 13°, 178° (familia: buzamiento, dirección de buzamiento). Por lo observado en el terreno, los pares (J1, J3) y (J2, J3) forman diedros que son descalzados por J4 o J4*, delimitando los bloques rocosos que pueden llegar a tener hasta 12 m3. Estas familias han sido integradas en el análisis estadístico y morfométrico del modelo digital de elevaciones (MDE) de la zona para su clasificación en unidades morfoestructurales, las que se han distinguido mediante una descomposición multigausiana de la distribución de pendientes. Sobre la unidad asociada a los mayores desniveles y pendientes, se ha analizado la inestabilidad cinemática estructural de acuerdo a la orientación relativa de la pendiente con cada familia de planos de debilidad, logrando así demarcar planimétricamente las áreas fuente. Estas áreas se caracterizan por situarse en zonas geomorfológicamente homogéneas, con pendientes &gt; 40° y orientadas de acuerdo al patrón tectónico predominante en la zona: fallas y discontinuidades morfotectónicas con rumbos NNE y ONO. Para valorar la extensión y características del área de afectación de la caída de un bloque, se han realizado simulaciones basadas en un modelo empírico friccional de Coulomb, siendo previamente necesario calibrar los parámetros del modelo sobre cada una de las áreas fuente anteriormente delimitadas. Los resultados muestran que los ángulos calibrados de sombra están entre 25° y 32°, y de apertura entre 16° y 28°, y sin patrón aparente extrapolable entre áreas fuente. En las simulaciones realizadas con estos ángulos, los resultados obtenidos han permitido precisar con detalle los alcances máximos de los bloques que pudieran caer, ajustándose convenientemente a lo reconocido sobre el terreno y delimitando la extensión del área afectada, considerando la distribución de la energía de éstos, frente a un posible desprendimiento. En un escenario probable, un bloque de 12 m3 puede llegar a movilizarse más de 500 m, con velocidades de hasta 25.7 m/s, pudiendo llegar hasta el perímetro urbano con una energía del orden de 104 kJ, siendo capaz de provocar graves daños.]]></p></abstract>
<abstract abstract-type="short" xml:lang="en"><p><![CDATA[ABSTRACT When a rockfall occurs, the main problem for the populations located at the foot of the slopes is that the block or rock avalanche produces personal and/or property damages. To quantify the risk involved in such geologic hazard it is essential to carry out mapping studies in order to identify susceptible areas and their risk level. Although the size of the mobilized rock mass can vary from place to place, the small size avalanches (&lt; 100 m3) are the most frequent ones in mountainous regions. The hazard assessment mainly involves two stages: (i) detection and characterization of boulders source areas, and (ii) calculation of their reach distance and energy. In particular, the phenomenon of sudden falling rock boulders in the sierra de La Cabrera, southeastern edge of the sierra de Guadarrama (Spanish Central System), is a relatively frequent event. The areas from which detachment occur in the Paleozoic granite massif are on ridges and granite peaks of difficult access that are distributed by certain areas of the ridge cap. To locate and characterize the source areas, geological, structural and geomorphological data were collected. They have been integrated into the morphometric and statistical analysis of the digital elevation model of the study area. The cluster analysis of the data allowed us to identify four families of joints : J1: 80°, 212°; J2: 83°, 155°; J3: 83°, 83°; J4: 13°, 358 and J4*: 13°,178°. The joint planes form dihedral angles that limit the boulder geometry and size. According to their average spacing and the blocks found in the field, they can reach up to 12 m3. The joint assessment of field data and morphometry from the elevation model of the area has enabled to locate a set of detachment areas, in more detail than previous studies: geomorphologically homogeneous area with slopes &gt;40° and oriented according to the prevailing tectonic pattern in the area (NNE and WNW). To calculate the prone rockfall affected areas, numerical simulations were performed based on an empirical frictional Coulomb model. Geometrically, this model is represented as the intersection of a vertical cone with the topographic surface. Its apex rests on each source area and its slant height is calibrated as its slope (angle of shade) considering the GPS location of past events. The calibrated shadow: 25°- 32° and opening: 16°- 28° angles are not applicable to other rockfall sites, or source areas in the same site. The simulations show that a block of 12 m3 can reach more than 500 m, with speeds up to 25.7 m/s, and can get to the city limits with sufficient energy (about 104 kJ) to cause serious damages. Despite the simplicity of the empirical model used here, since it greatly simplifies the need to incorporate geomechanical parameters, the results obtained have allowed an exact figure for the maximum ranges and energies of fallen blocks, which is similar to those recognized in the field in case of a possible rock block detachment.]]></p></abstract>
<kwd-group>
<kwd lng="es"><![CDATA[caída de bloques]]></kwd>
<kwd lng="es"><![CDATA[riesgo geológico]]></kwd>
<kwd lng="es"><![CDATA[susceptibilidad]]></kwd>
<kwd lng="es"><![CDATA[modelo empírico]]></kwd>
<kwd lng="es"><![CDATA[simulación]]></kwd>
<kwd lng="es"><![CDATA[sierra de La Cabrera]]></kwd>
<kwd lng="es"><![CDATA[España]]></kwd>
<kwd lng="en"><![CDATA[rockfall]]></kwd>
<kwd lng="en"><![CDATA[geological hazard]]></kwd>
<kwd lng="en"><![CDATA[susceptibility]]></kwd>
<kwd lng="en"><![CDATA[empirical model]]></kwd>
<kwd lng="en"><![CDATA[simulation]]></kwd>
<kwd lng="en"><![CDATA[sierra de La Cabrera]]></kwd>
<kwd lng="en"><![CDATA[España]]></kwd>
</kwd-group>
</article-meta>
</front><back>
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