{"id":8987,"date":"2018-03-07T20:06:06","date_gmt":"2018-03-07T19:06:06","guid":{"rendered":"https:\/\/www.ig.cas.cz\/?page_id=8987"},"modified":"2020-12-14T15:07:16","modified_gmt":"2020-12-14T14:07:16","slug":"mt-decomposition","status":"publish","type":"page","link":"https:\/\/www.ig.cas.cz\/en\/mt-decomposition\/","title":{"rendered":"MT_Decomposition package: decomposition and visualization of seismic moment tensors"},"content":{"rendered":"

[et_pb_section fb_built=”1″ _builder_version=”3.22″][et_pb_row _builder_version=”3.25″ background_size=”initial” background_position=”top_left” background_repeat=”repeat”][et_pb_column type=”4_4″ _builder_version=”3.25″ custom_padding=”|||” custom_padding__hover=”|||”][et_pb_image src=”https:\/\/www.ig.cas.cz\/wp-content\/uploads\/2018\/01\/mt-decomposition_logo.png” align_tablet=”center” align_last_edited=”on|desktop” _builder_version=”3.23″ always_center_on_mobile=”on”][\/et_pb_image][et_pb_text _builder_version=”3.27.4″]Version 1.0, last update 20.10.2015<\/p>\n

Author<\/h3>\n

V\u00e1clav Vavry\u010duk (vv@ig.cas.cz)<\/p>\n

Short description<\/h3>\n

MT_DECOMPOSITION is a Matlab software package for the moment tensor (MT) decomposition of a set of moment tensors into the double-couple (DC) and non-double-couple (non-DC) components and their visualization. Details about the MT decomposition are published in Vavry\u010duk (2015a).<\/p>\n

Primary reference<\/h3>\n

Vavry\u010duk, V., 2015a. Moment tensor decompositions revisited<\/a>, Journal of Seismology, 19(1), 231-252, doi: 10.1007\/s10950-014-9463-y.<\/p>\n

Other references<\/h3>\n

Vavry\u010duk, V., 2015b. Inversion for the composite moment tensor<\/a>, Bulletin of the Seismological Society of America, 105(6), doi: 10.1785\/0120150163.<\/p>\n

Download<\/h3>\n

Please fill in the following form. After submitting needed information you will be redirected to download.
\n[\/et_pb_text][et_pb_contact_form email=”vv@ig.cas.cz” custom_message=”MT_DECOMPOSITION downloaded by||et_pb_line_break_holder||||et_pb_line_break_holder||%%Name%% %%Surname%%||et_pb_line_break_holder||||et_pb_line_break_holder||email: %%Email%%||et_pb_line_break_holder||affiliation: %%Affiliation%%” use_redirect=”on” redirect_url=”\/wp-content\/uploads\/2018\/02\/mt_decomposition_v1_0_zip_95192.zip” success_message=”MT DECOMPOSITION download should have started, enjoy it!” submit_button_text=”Submit” _builder_version=”3.0.102″][et_pb_contact_field field_id=”Name” field_title=”Name” _builder_version=”3.16″ button_text_size__hover_enabled=”off” button_one_text_size__hover_enabled=”off” button_two_text_size__hover_enabled=”off” button_text_color__hover_enabled=”off” button_one_text_color__hover_enabled=”off” button_two_text_color__hover_enabled=”off” button_border_width__hover_enabled=”off” button_one_border_width__hover_enabled=”off” button_two_border_width__hover_enabled=”off” 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User guide<\/h3>\n

The software is structured in the following directories: Data, Figures, Output, Programs.<\/strong><\/p>\n

Run the code<\/h4>\n

The decomposition is run by a script called MT_decomposition.m<\/strong> stored in the Programs directory.<\/p>\n

Input data<\/h4>\n

Input moment tensors should be stored in the Data directory. The standard name of the input file is \/Data\/moments.dat.<\/strong><\/p>\n

The input data are formed by six columns containing the components of moment tensors. Each line consists of values of one moment tensor:<\/p>\n

    \n
  • M(1,1), M(2,2), M(3,3), M(2,3), M(1,3), M(1,2).<\/li>\n<\/ul>\n

    Transformation relations from the coordinate system of the Harvard CMT catalogue:<\/p>\n

    M(1,1) =\u00a0 \u00a0Mtt; \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 M(1,2) = \u2013Mtp; \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 M(1,3) = \u00a0\u00a0Mrt;
    M(2,1) = \u2013Mtp; \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 M(2,2) =\u00a0 \u00a0Mpp; \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 M(2,3) = \u2013Mrp;
    M(3,1) =\u00a0 \u00a0Mrt; \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 M(3,2) = \u2013Mrp; \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 M(3,3) = \u00a0\u00a0Mrr;<\/p>\n

    Output<\/h4>\n

    The output file is stored in the Output directory. The standard name of the output file is \/Output\/results.mat<\/strong>.<\/p>\n

    The output includes:<\/p>\n

      \n
    • strike1, dip1, rake1<\/strong> (angles defining the orientation of the DC part of the moment tensor – the first conjugate solution),<\/li>\n
    • strike2, dip2, rake2<\/strong> (angles defining the orientation of the DC part of the moment tensor – the second conjugate solution)<\/li>\n
    • dc, clvd and iso<\/strong> (percentages of the double-couple, compensated linear vector dipole and isotropic components).<\/li>\n<\/ul>\n

      Figures<\/h4>\n

      Figures are stored in the Figures<\/strong> directory. The code generates the following figures:<\/p>\n

        \n
      • P_T_axes.png<\/strong> (focal sphere with the P and T axes),<\/li>\n
      • nodal_lines.png<\/strong> (nodal lines in the equal-area, lower-hemisphere projection),<\/li>\n
      • diamond_plot.png<\/strong> (CLVD-ISO diamond plot).<\/li>\n<\/ul>\n

        Example<\/h4>\n

        As an example, we provide the input file called ‘moments.dat<\/strong>‘ with moment tensors of 20 micro-earthquakes from the West Bohemia swarm area (for the analysis of these data, see Vavry\u010duk 2015b). The output file is called ‘results.mat<\/strong>‘.<\/p>\n

        To run the code just call MT_decomposition.m<\/strong>.<\/p>\n

        Copyright<\/h4>\n

        The code can be freely used for research purposes only. In the case of publishing the results obtained by this code, please, refer to the paper of Vavry\u010duk (2015a). If you intend to use the code for commercial purposes, you should contact the author for providing with the commercial licence. The use of the software for commercial purposes with no commercial licence is prohibited.<\/p>\n

        [\/et_pb_text][\/et_pb_column][\/et_pb_row][\/et_pb_section]<\/p>\n","protected":false},"excerpt":{"rendered":"

        Version 1.0, last update 20.10.2015 Author V\u00e1clav Vavry\u010duk (vv@ig.cas.cz) Short description MT_DECOMPOSITION is a Matlab software package for the moment tensor (MT) decomposition of a set of moment tensors into the double-couple (DC) and non-double-couple (non-DC) components and their visualization. Details about the MT decomposition are published in Vavry\u010duk (2015a). Primary reference Vavry\u010duk, V., 2015a. […]<\/p>\n","protected":false},"author":9,"featured_media":5566,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"_et_pb_use_builder":"on","_et_pb_old_content":"","_et_gb_content_width":"","footnotes":""},"categories":[],"tags":[],"class_list":["post-8987","page","type-page","status-publish","has-post-thumbnail","hentry"],"yoast_head":"\nMT_Decomposition package: decomposition and visualization of seismic moment tensors - Geofyzik\u00e1ln\u00ed \u00fastav Akademie v\u011bd \u010cR, v.v.i.<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/www.ig.cas.cz\/en\/mt-decomposition\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"MT_Decomposition package: decomposition and visualization of seismic moment tensors - Geofyzik\u00e1ln\u00ed \u00fastav Akademie v\u011bd \u010cR, v.v.i.\" \/>\n<meta property=\"og:description\" content=\"Version 1.0, last update 20.10.2015 Author V\u00e1clav Vavry\u010duk (vv@ig.cas.cz) Short description MT_DECOMPOSITION is a Matlab software package for the moment tensor (MT) decomposition of a set of moment tensors into the double-couple (DC) and non-double-couple (non-DC) components and their visualization. Details about the MT decomposition are published in Vavry\u010duk (2015a). Primary reference Vavry\u010duk, V., 2015a. […]\" \/>\n<meta property=\"og:url\" content=\"https:\/\/www.ig.cas.cz\/en\/mt-decomposition\/\" \/>\n<meta property=\"og:site_name\" content=\"Dom\u016f\" \/>\n<meta property=\"article:publisher\" content=\"https:\/\/www.facebook.com\/GFUAVCR\/\" \/>\n<meta property=\"article:modified_time\" content=\"2020-12-14T14:07:16+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/www.ig.cas.cz\/wp-content\/uploads\/2018\/02\/P3230364-1.jpg\" \/>\n\t<meta property=\"og:image:width\" content=\"2500\" \/>\n\t<meta property=\"og:image:height\" content=\"260\" \/>\n\t<meta property=\"og:image:type\" content=\"image\/jpeg\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"Est. reading time\" \/>\n\t<meta name=\"twitter:data1\" content=\"7 minutes\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"WebPage\",\"@id\":\"https:\/\/www.ig.cas.cz\/en\/mt-decomposition\/\",\"url\":\"https:\/\/www.ig.cas.cz\/en\/mt-decomposition\/\",\"name\":\"MT_Decomposition package: decomposition and visualization of seismic moment tensors - Geofyzik\u00e1ln\u00ed \u00fastav Akademie v\u011bd \u010cR, v.v.i.\",\"isPartOf\":{\"@id\":\"https:\/\/www.ig.cas.cz\/#website\"},\"primaryImageOfPage\":{\"@id\":\"https:\/\/www.ig.cas.cz\/en\/mt-decomposition\/#primaryimage\"},\"image\":{\"@id\":\"https:\/\/www.ig.cas.cz\/en\/mt-decomposition\/#primaryimage\"},\"thumbnailUrl\":\"https:\/\/www.ig.cas.cz\/wp-content\/uploads\/2018\/02\/P3230364-1.jpg\",\"datePublished\":\"2018-03-07T19:06:06+00:00\",\"dateModified\":\"2020-12-14T14:07:16+00:00\",\"breadcrumb\":{\"@id\":\"https:\/\/www.ig.cas.cz\/en\/mt-decomposition\/#breadcrumb\"},\"inLanguage\":\"en-US\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/www.ig.cas.cz\/en\/mt-decomposition\/\"]}]},{\"@type\":\"ImageObject\",\"inLanguage\":\"en-US\",\"@id\":\"https:\/\/www.ig.cas.cz\/en\/mt-decomposition\/#primaryimage\",\"url\":\"https:\/\/www.ig.cas.cz\/wp-content\/uploads\/2018\/02\/P3230364-1.jpg\",\"contentUrl\":\"https:\/\/www.ig.cas.cz\/wp-content\/uploads\/2018\/02\/P3230364-1.jpg\",\"width\":2500,\"height\":260,\"caption\":\"OLYMPUS DIGITAL CAMERA\"},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/www.ig.cas.cz\/en\/mt-decomposition\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Dom\u016f\",\"item\":\"https:\/\/www.ig.cas.cz\/en\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"MT_Decomposition package: decomposition and visualization of seismic moment tensors\"}]},{\"@type\":\"WebSite\",\"@id\":\"https:\/\/www.ig.cas.cz\/#website\",\"url\":\"https:\/\/www.ig.cas.cz\/\",\"name\":\"Dom\u016f\",\"description\":\"Geofyzik\u00e1ln\u00ed \u00fastav Akademie v\u011bd \u010cR, v.v.i.\",\"potentialAction\":[{\"@type\":\"SearchAction\",\"target\":{\"@type\":\"EntryPoint\",\"urlTemplate\":\"https:\/\/www.ig.cas.cz\/?s={search_term_string}\"},\"query-input\":{\"@type\":\"PropertyValueSpecification\",\"valueRequired\":true,\"valueName\":\"search_term_string\"}}],\"inLanguage\":\"en-US\"}]}<\/script>\n<!-- \/ Yoast SEO plugin. -->","yoast_head_json":{"title":"MT_Decomposition package: decomposition and visualization of seismic moment tensors - Geofyzik\u00e1ln\u00ed \u00fastav Akademie v\u011bd \u010cR, v.v.i.","robots":{"index":"index","follow":"follow","max-snippet":"max-snippet:-1","max-image-preview":"max-image-preview:large","max-video-preview":"max-video-preview:-1"},"canonical":"https:\/\/www.ig.cas.cz\/en\/mt-decomposition\/","og_locale":"en_US","og_type":"article","og_title":"MT_Decomposition package: decomposition and visualization of seismic moment tensors - Geofyzik\u00e1ln\u00ed \u00fastav Akademie v\u011bd \u010cR, v.v.i.","og_description":"Version 1.0, last update 20.10.2015 Author V\u00e1clav Vavry\u010duk (vv@ig.cas.cz) Short description MT_DECOMPOSITION is a Matlab software package for the moment tensor (MT) decomposition of a set of moment tensors into the double-couple (DC) and non-double-couple (non-DC) components and their visualization. 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