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<span class="version">6.9.1</span>
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<section id="mlv">
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<span id="global-mlv"></span><h1>MLv<a class="headerlink" href="#mlv" title="Permalink to this heading">¶</a></h1>
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<p>Local (Richter) magnitude measured on the vertical component</p>
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<section id="description">
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<h2>Description<a class="headerlink" href="#description" title="Permalink to this heading">¶</a></h2>
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<p>MLv is the local (Richter) magnitude (<span id="id1">Richter [<a class="reference internal" href="../base/references.html#id62" title="C.F. Richter. An instrumental earthquake magnitude scale. Bull. Seismol. Soc. Am., 1:1 - 32, 1935. URL: https://resolver.caltech.edu/CaltechAUTHORS:20140804-143558638, doi:10.1785/BSSA0250010001.">57</a>]</span>) computed from amplitudes measured on the
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vertical component.</p>
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<p>General (default) conditions apply:</p>
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<ul class="simple">
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<li><p>Amplitude unit in SeisComP: <strong>millimeter</strong> (mm) by simulation of a <a class="reference internal" href="../base/glossary.html#term-Wood-Anderson-seismometer"><span class="xref std std-term">Wood-Anderson seismometer</span></a>.</p></li>
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<li><p>Time window: 150 s by <a class="reference internal" href="scautopick.html#scautopick"><span class="std std-ref">scautopick</span></a> or distance dependent, configurable.</p></li>
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<li><p>Default distance range: 0 - 8 deg, maximum is configurable
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<a class="reference internal" href="global.html#confval-magnitudes.MLv.maxDistanceKm"><code class="xref std std-confval docutils literal notranslate"><span class="pre">magnitudes.MLv.maxDistanceKm</span></code></a>, measurements beyond 8 deg will be
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strictly ignored.</p></li>
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<li><p>Depth range: no limitation.</p></li>
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</ul>
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<section id="amplitudes">
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<h3>Amplitudes<a class="headerlink" href="#amplitudes" title="Permalink to this heading">¶</a></h3>
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<p>The MLv amplitude calculation is very similar to the original <a class="reference internal" href="global_ml.html#global-ml"><span class="std std-ref">ML</span></a>,
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except that the amplitude is measured on the vertical component. The methods
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for measuring amplitudes are configurable in the global bindings.</p>
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</section>
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<section id="station-magnitudes">
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<h3>Station Magnitudes<a class="headerlink" href="#station-magnitudes" title="Permalink to this heading">¶</a></h3>
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<p>The individual station MLv is calculated up to the epicentral distance
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<a class="reference internal" href="global.html#confval-magnitudes.MLv.maxDistanceKm"><code class="xref std std-confval docutils literal notranslate"><span class="pre">magnitudes.MLv.maxDistanceKm</span></code></a> using the following formula:</p>
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<div class="math">
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<p><img src="../_images/math/f73f0c80f57e4c0aa9f75af47267f7aa55522b40.png" alt="MLv = \log10(A) - \log10(A0)"/></p>
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</div><p>A is the MLv Wood-Anderson amplitude in millimeters. The second term
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is the empirical calibration function, which in turn is a function
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of the epicentral distance (see <span id="id2">Richter [<a class="reference internal" href="../base/references.html#id62" title="C.F. Richter. An instrumental earthquake magnitude scale. Bull. Seismol. Soc. Am., 1:1 - 32, 1935. URL: https://resolver.caltech.edu/CaltechAUTHORS:20140804-143558638, doi:10.1785/BSSA0250010001.">57</a>]</span>). This calibration
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function can be configured globally or per station using global
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bindings or the global module configuration variable
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module.trunk.global.magnitudes.MLv.logA0 in <code class="file docutils literal notranslate"><span class="pre">global.cfg</span></code>, e.g.</p>
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<div class="highlight-default notranslate"><div class="highlight"><pre><span></span><span class="n">module</span><span class="o">.</span><span class="n">trunk</span><span class="o">.</span><span class="k">global</span><span class="o">.</span><span class="n">magnitudes</span><span class="o">.</span><span class="n">MLv</span><span class="o">.</span><span class="n">logA0</span> <span class="o">=</span> <span class="s2">"0:-1.3,60:-2.8,100:-3.0,400:-4.5,1000:-5.85"</span>
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<span class="n">module</span><span class="o">.</span><span class="n">trunk</span><span class="o">.</span><span class="k">global</span><span class="o">.</span><span class="n">magnitudes</span><span class="o">.</span><span class="n">MLv</span><span class="o">.</span><span class="n">maxDistanceKm</span> <span class="o">=</span> <span class="s2">"-1"</span>
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</pre></div>
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</div>
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<p>The logA0 configuration string consists of an arbitrary number of
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distance-value pairs separated by semicolons. The distance is in km
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and the value corresponds to the <em>log10(A0)</em> term above.</p>
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<p>Within each interval the values are computed by linear
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interpolation. E.g. for the above default specification, at a
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distance of 80 km the <em>log10(A0)</em> value would be</p>
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<div class="math">
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<p><img src="../_images/math/6e45a883605015d556a6b6fe63821c64d8263242.png" alt="\log10(A0) &= ((-3.0)-(-2.8))*(80-60)/(100-60)-2.8 \\
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&= -2.9"/></p>
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</div><p>In other words, at 80 km distance the magnitude would be</p>
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<div class="math">
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<p><img src="../_images/math/e43775c444e67a786957a45f52e1b6a4b4d757a8.png" alt="MLv &= \log10(A) - (-2.9) \\
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&= \log10(A) + 2.9"/></p>
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</div><p>which is according to the original Richter formula <span id="id3">[<a class="reference internal" href="../base/references.html#id62" title="C.F. Richter. An instrumental earthquake magnitude scale. Bull. Seismol. Soc. Am., 1:1 - 32, 1935. URL: https://resolver.caltech.edu/CaltechAUTHORS:20140804-143558638, doi:10.1785/BSSA0250010001.">57</a>]</span> if the
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amplitude is measured in millimeters.</p>
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</section>
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<section id="network-magnitude">
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<h3>Network magnitude<a class="headerlink" href="#network-magnitude" title="Permalink to this heading">¶</a></h3>
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<p>By default, the trimmed mean is calculated from the station magnitudes to form
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the <a class="reference internal" href="../base/glossary.html#term-network-magnitude"><span class="xref std std-term">network magnitude</span></a>. Outliers beyond the outer 12.5% percentiles are
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removed before forming the mean.</p>
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</section>
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<section id="configuration">
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<h3>Configuration<a class="headerlink" href="#configuration" title="Permalink to this heading">¶</a></h3>
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<p>Several distance-value pairs can be configured for different ranges of
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epicentral distance.
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The calibration function and maximum distance can be configured globally,
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per network or per station using the configuration variables. Instead configuring
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lots of global bindings profiles or station bindings one line per parameter can be
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added to the global module configuration (<code class="file docutils literal notranslate"><span class="pre">global.cfg</span></code>), e.g.</p>
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<p>global:</p>
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<div class="highlight-params notranslate"><div class="highlight"><pre><span></span>module.trunk.global.magnitudes.MLv.logA0 = "0:-1.3,60:-2.8,100:-3.0,400:-4.5,1000:-5.85"
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module.trunk.global.magnitudes.MLv.maxDistanceKm = -1
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</pre></div>
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</div>
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<p>or per network:</p>
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<div class="highlight-params notranslate"><div class="highlight"><pre><span></span>module.trunk.GR.magnitudes.MLv.logA0 = "0:-1.3,60:-2.8,100:-3.0,400:-4.5,1000:-5.85"
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module.trunk.GR.magnitudes.MLv.maxDistanceKm = -1
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</pre></div>
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</div>
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<p>or per station:</p>
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<div class="highlight-params notranslate"><div class="highlight"><pre><span></span>module.trunk.GR.MOX.magnitudes.MLv.logA0 = "0:-1.3,60:-2.8,100:-3.0,400:-4.5,1000:-5.85"
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module.trunk.GR.MOX.magnitudes.MLv.maxDistanceKm = -1
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</pre></div>
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</div>
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<p>Set the configuration and calibration parameters in the global bindings. By
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default MLv is computed by <a class="reference internal" href="scautopick.html#scautopick"><span class="std std-ref">scautopick</span></a> and is visible in GUIs.</p>
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</section>
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<h3><a href="../index.html">Table of Contents</a></h3>
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<li><a class="reference internal" href="#">MLv</a><ul>
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<li><a class="reference internal" href="#description">Description</a><ul>
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<li><a class="reference internal" href="#amplitudes">Amplitudes</a></li>
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<li><a class="reference internal" href="#station-magnitudes">Station Magnitudes</a></li>
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<li><a class="reference internal" href="#network-magnitude">Network magnitude</a></li>
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<li><a class="reference internal" href="#configuration">Configuration</a></li>
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