Mechanical properties of Nevado del Ruiz - St. Isabel volcanoes

<p><strong>Description and structure of the data </strong><br> Data of static and dynamic mechanical material properties organized in 6 columns. The first three columns contain the position in UTM coordinates (UTM zone 18N): easting, northing, and depth (positive numbers refer to points above the mean sea level and negative numbers to points below the sea level). The last three columns contain Poisson&rsquo;s dynamic ratio, Young&rsquo;s static modulus, and density. The first row of the file is dedicated to the following header: UTM_x (m), UTM_y (m), Z (m), Poisson_dy, Young_st (GPa), density (kg/m^3)</p> <p><strong>Static and dynamic mechanical elastic properties</strong></p> <p>The dynamic elastic properties are calculated from P-wave (Vp) and S-wave (Vs) tomographic velocities, derived from the seismicity recorded by the Colombian Geological Survey - Volcanological and Seismological Observatory of Manizales (OVSM) between January 1st, 2016 and February 19, 2019.</p> <p>Empirical relationships are used for the conversion into static values <a href="https://www.zotero.org/google-docs/?BltUnS">(Hautmann et al., 2013; Wang, 2000)</a>. The relationship between dynamic Young&rsquo;s modulus (<span class="math-tex">\(E_{dy}\)</span>) and shear wave velocity, Vs, inferred from the tomography <a href="https://www.zotero.org/google-docs/?TLLWSb">(Telford et al., 1976)</a> is<strong> <strong><span class="math-tex">\(E_{dy} = 2\rho\left( 1+\nu_{dy} \right)V_{s}^2\)</span></strong></strong></p> <p>where &rho; is density <a href="https://www.zotero.org/google-docs/?HcYYHH">(Jaeger, 2007)</a>, defined through the Nafe-Drake empirical curve <a href="https://www.zotero.org/google-docs/?hTnbN9">(Brocher, 2005)</a> that describes the density (g/cm3) as function of Vp between 1.5 km/sec and 8.5 km/sec:</p> <p><span class="math-tex">\(\varrho=1.6612V_{p}-0.4721{V}_{p}^{2}+0.0671{V}_{p}^{3}-0.0043{V}_{p}^{4}+0.000106{V}_{p}^{5}\)</span></p> <p>and the dynamic Poisson&rsquo;s modulus, <span class="math-tex">\(\nu_{dy}\)</span>, is calculated from the relationship of Vp and Vs, as in the case of an isotropic medium for lack of better information (i.e. borehole tests), with the following formula <a href="https://www.zotero.org/google-docs/?VD2VWu">(Gu&eacute;guen and Palciauskas, 1994; Heap et al., 2014)</a>:</p> <p><span class="math-tex">\({\nu}_{dy}=\frac{V_{p}^2-2V_{s}^2}{2(V_{p}^2-V_{s}^2)}\)</span></p> <p>The values of the dynamic Young&rsquo;s modulus derived, <span class="math-tex">\(E_{dy}\)</span>, increase from 12 GPa to 135 GPa, while the range of dynamic Poisson&rsquo;s ratio values is between 0.17 and 0.30.</p> <p>In order to convert the dynamic values of the Young modulus into static values, we apply a standard empirical relationship <a href="https://www.zotero.org/google-docs/?Zir7pl">(Wang, 2000)</a>:&nbsp;</p> <p><span class="math-tex">\(E_{st} = 0.415\times E_{dy} (GPa) - 1.056\)</span></p> <p><br> The resulting values for&nbsp;<span class="math-tex">\(E_{st}\)</span> of the upper crust is from 5 GPa to 56 GPa.</p> <p>&nbsp;</p> <p><strong>References</strong></p> <p><strong>Brocher</strong>, T.M., 2005. Empirical relations between elastic wavespeeds and density in the Earth&rsquo;s crust. Bulletin of the Seismological Society of America 95, 2081&ndash;2092. https://doi.org/10.1785/0120050077<br> <strong>Gu&eacute;guen</strong>, Y., Palciauskas, V., 1994. Introduction to the Physics of Rocks, Princeton University Press. ed. Princeton, New Jersey.<br> <strong>Hautmann</strong>, S., Hidayat, D., Fournier, N., Linde, A.T., Sacks, I.S., Williams, C.P., 2013. Pressure changes in the magmatic system during the December 2008/January 2009 extrusion event at Soufri&egrave;re Hills Volcano, Montserrat (W.I.), derived from strain data analysis. Journal of Volcanology and Geothermal Research 250, 34&ndash;41. https://doi.org/10.1016/j.jvolgeores.2012.10.006<br> <strong>Heap</strong>, M.J., Baud, P., Meredith, P.G., Vinciguerra, S., Reuschl&eacute;, T., 2014. The permeability and elastic moduli of tuff from Campi Flegrei, Italy: implications for ground deformation modelling. Solid Earth 5, 25&ndash;44. https://doi.org/10.5194/se-5-25-2014<br> <strong>Telford</strong>, W.M., Geldart, L.P., Sheriff, R.E., Keys, D.A., 1976. Applied Geophysics. Cambridge University Press, Cambridge.<br> <strong>Wang</strong>, Z., 2000. Dynamic versus static elastic properties of reservoir rocks, in: Seismic and Acoustic Velocities in Reservoir Rocks. Soc. of Explor. Geophys., Tusla, Oklahoma, pp. 531&ndash;539.</p> <p>&nbsp;</p> <p>This dataset is one of the results of PICVOLC project. PICVOLC has received funding from the European Union&rsquo;s Horizon 2020 research and innovation program under the Marie Skłodowska-Curie grant agreement No. 793811.</p> <p>&nbsp;</p> <p>&nbsp;</p>