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@ -4,7 +4,7 @@
<head>
<meta charset="utf-8" /><meta name="viewport" content="width=device-width, initial-scale=1" />
<title>ML &#8212; SeisComP Release documentation</title>
<title>ML &#8212; SeisComP Development documentation</title>
<link rel="stylesheet" href="../_static/pygments.css" type="text/css" />
<link rel="stylesheet" href="../_static/seiscomp.css" type="text/css" />
<link rel="stylesheet" type="text/css" href="../_static/pygments.css?v=72bcf2f2" />
@ -12,7 +12,7 @@
<link rel="stylesheet" type="text/css" href="../_static/graphviz.css?v=eafc0fe6" />
<script type="text/javascript" src="../_static/seiscomp.js"></script>
<script type="text/javascript" id="documentation_options" data-url_root="../" src="../_static/documentation_options.js"></script>
<script data-url_root="../" id="documentation_options" src="../_static/documentation_options.js?v=823bb831"></script>
<script data-url_root="../" id="documentation_options" src="../_static/documentation_options.js?v=744d344a"></script>
<script src="../_static/doctools.js?v=888ff710"></script>
<script src="../_static/sphinx_highlight.js?v=4825356b"></script>
<link rel="index" title="Index" href="../genindex.html" />
@ -25,8 +25,8 @@
<div class="container">
<div class="brand">
<img class="logo" src="../_static/brands/seiscomp/text/white.svg"/>
<!-- span class="title">SeisComP Release</span -->
<span class="version">6.9.0</span>
<!-- span class="title">SeisComP Development</span -->
<span class="version">7.0.0</span>
</div>
</div>
</div>
@ -78,14 +78,14 @@
<section id="description">
<h2>Description<a class="headerlink" href="#description" title="Permalink to this heading"></a></h2>
<p>ML is the standard local (Richter) magnitude originally designed for
Southern California by <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>.</p>
Southern California by <span id="id1">Richter [<a class="reference internal" href="../base/references.html#id81" 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.">66</a>]</span>.</p>
<p>General (default) conditions apply:</p>
<ul class="simple">
<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>
<li><p>Time window, configurable: 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>
<li><p>Distance type: epicentral distance.</p></li>
<li><p>Distance range: 0 - 8 deg, maximum is configurable:
<a class="reference internal" href="global.html#confval-magnitudes.ML.maxDistanceKm"><code class="xref std std-confval docutils literal notranslate"><span class="pre">magnitudes.ML.maxDistanceKm</span></code></a>,
<code class="xref std std-confval docutils literal notranslate"><span class="pre">magnitudes.ML.maxDist</span></code>,
measurements beyond 8 deg will be strictly ignored.</p></li>
<li><p>Depth range: 0 - 80 km, configurable for amplitude measurements.</p></li>
</ul>
@ -101,15 +101,15 @@ amplitudes are configurable in the global bindings.</p>
<h3>Station Magnitudes<a class="headerlink" href="#station-magnitudes" title="Permalink to this heading"></a></h3>
<p>The individual station ML is calculated using the following formula:</p>
<div class="math">
<p><img src="../_images/math/2ac00af8e0cff8bc51992386e723083d633de181.png" alt="ML = \log10(A) - \log10(A0)"/></p>
<p><img src="../_images/math/2ac00af8e0cff8bc51992386e723083d633de181.svg" alt="ML = \log10(A) - \log10(A0)"/></p>
</div><p><em>A</em> is the measured ML Wood-Anderson amplitude in millimeters. The second term
is the empirical calibration function, which in turn is a function
of the epicentral distance (<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
of the epicentral distance (<span id="id2">Richter [<a class="reference internal" href="../base/references.html#id81" 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.">66</a>]</span>). This calibration
function and distance range can be configured globally or per station using
global bindings or the global module configuration variable
module.trunk.global.magnitudes.ML.logA0 in <code class="file docutils literal notranslate"><span class="pre">global.cfg</span></code>, e.g.</p>
<div class="highlight-params notranslate"><div class="highlight"><pre><span></span>module.trunk.global.magnitudes.ML.logA0 = &quot;0:-1.3,60:-2.8,100:-3.0,400:-4.5,1000:-5.85&quot;
module.trunk.global.magnitudes.ML.maxDistanceKm = &quot;-1&quot;
<div class="highlight-properties notranslate"><div class="highlight"><pre><span></span><span class="na">module.trunk.global.magnitudes.ML.logA0</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="s">&quot;0:-1.3,60:-2.8,100:-3.0,400:-4.5,1000:-5.85&quot;</span>
<span class="na">module.trunk.global.magnitudes.ML.maxDist</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="s">1000km</span>
</pre></div>
</div>
<p>The <em>logA0</em> configuration string consists of an arbitrary number of
@ -120,13 +120,13 @@ and the second value corresponds to the <em>log10(A0)</em> term above.</p>
interpolation. E.g. for the above default specification, at a
distance of 80 km the <em>log10(A0)</em> value would be</p>
<div class="math">
<p><img src="../_images/math/6e45a883605015d556a6b6fe63821c64d8263242.png" alt="\log10(A0) &amp;= ((-3.0)-(-2.8))*(80-60)/(100-60)-2.8 \\
<p><img src="../_images/math/6e45a883605015d556a6b6fe63821c64d8263242.svg" alt="\log10(A0) &amp;= ((-3.0)-(-2.8))*(80-60)/(100-60)-2.8 \\
&amp;= -2.9"/></p>
</div><p>In other words, at 80 km distance the magnitude would be</p>
<div class="math">
<p><img src="../_images/math/d201277e64aa494949afae6e3509d37320084dc7.png" alt="ML &amp;= \log10(A) - (-2.9) \\
<p><img src="../_images/math/d201277e64aa494949afae6e3509d37320084dc7.svg" alt="ML &amp;= \log10(A) - (-2.9) \\
&amp;= \log10(A) + 2.9"/></p>
</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
</div><p>which is according to the original Richter formula <span id="id3">[<a class="reference internal" href="../base/references.html#id81" 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.">66</a>]</span> if the
amplitude is measured in millimeters.</p>
<p>Several distance-value pairs can be configured for different ranges of
epicenter distance.</p>
@ -211,7 +211,7 @@ line per parameter can be added to the global module configuration
</a>
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Version <b>6.9.0</b> Release
Version <b>7.0.0</b> Development
</div>
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