Focal mechanisms overview
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A new computer application is created to use graphical representation of seismological data sets namely focal mechanism data to help seismologist to minimize complexities, recognize trends, discover data patterns and finally to develop the hypotheses. These graphical representation views are widely used by seismologist to drive information out of its long datasets. Using visual studio dot net 2012 to create a windows based software tools for focal mechanism datasets analysis using triangle diagrams. Another analysis tool is bar graph using basics of rose diagrams to plot the distribution of data frequency of each class. The third analysis tool included is a 4D plot of the distribution of earthquake events versus its depths and magnitude. A new classification of plotting double-couple earthquake focal mechanisms on the ternary diagram is defined. The application software has many advantages like automatic writing the analysis reports which contain all calculated information represented in the software graphs. This report helps for advanced processing. Automatic prototype analysis reporting can be considered as the first step (milestone) for applying expert systems in focal mechanism analysis tools. The application program interface (API) are designed to be user friendly and use interactive screens to customize the analysis.
KeywordsSoftware tools Focal mechanism analysis Rose diagram Geophysical data processing Ternary diagrams
Seismologic datasets are typically large and compiled into long tables or large databases, but pure numerical information can be difficult to understand and interpret. A lot of separate scattered software exists in the literature like “OpenRose” version 0.01 which is written in C#. NET, last updated on 2009-09-13 (https://openrose.soft112.com/, 2017). Some software are licensed or developed for solving specific problem, or developed for a special project. Another problem is that these different software are developed on different platforms such as Unix, Xenix, Linex, Dos, windows or on Apple Operating system, therefore, scientists should have the same environment to use the software. Other cases, seismologist (users) may create their own libraries or functions to process their data, in these cases other scientists (new users) should have the same compilers (Fortran 77 or C# compilers) and should understand clearly what are the data types or format needed to be processed. A third problem is the long list of old input data stored on different media which should be read and collected in a specific digital format to be ready for analysis software. Many efforts have been done to calculate quantitative amount of data as a preliminary step for seismic focal mechanism analysis. For example, in an effort to improve data services, the National Earthquake Information Center cooperate with the Incorporated Research Institutions for Seismology Data Management Center (IRIS DMC), to produce rapid estimates of the seismic moment tensor for a large earthquakes data set (Sipkin 1994). Also, Isacks and Molnar 1971, had a set of 204 reliable focal-mechanism solutions for analysis to support their ideas (Isacks and Molnar 1971).
A region-by-region analysis of 204 reliable focal-mechanism solutions for deep and intermediate-depth earthquakes strongly supports the idea that portions.
This drives scientists to use graphical representation to minimize complexities, recognize trends and discover data patterns to develop the hypotheses.
To solve all the above problems using open source new application software developed to be user friendly reading old data with almost all format and working on all operating system environments. An example is the DurovPwin software developed to solve these problems in the field of groundwater major dissolved constituents and hydro-chemical evolution (Al-Bassam and Khalil 2012). The DurovPwin software, for example, not only solve the researcher problems but also improves the original Durov diagram giving extended Durov diagram and adding many new analysis features.
In this paper, some technical problems in the geophysical field were studied carefully and considered during the implementation of some helpful tools in the field of seismology specially, focal mechanism aspects. This application integrates the ternary diagram and also adding new zones definition, and the bar graph representing the rose diagram while giving the option of plotting the symbols according to its magnitude. The source input data is Microsoft excel file which is the simplest form of data, this facilitate the collection of data from any catalogue all over the world. USGS catalogue is widely used for focal mechanism analysis using the FPFIT program (Reasenberg and Oppenheimer 1985) and will output multiple fault plane solutions. Using the MKTABLE, a FORTRAN program provided by the USGS to view the focal mechanism profile. This is a difficult process especially in case of a large number of earthquakes (using quantitative methods). Therefore, ternary diagrams should be used to categorize the different types of focal mechanisms generated.
Prototype implementation of focal mechanisms analysis tools
The new software presented here integrate three analysis tools combined together is called Ternary Focal mechanism (TFMtools) software tools. The first tool is the method of evaluating the distribution of the focal mechanism orientations of groups of earthquakes and displays the data on the triangle diagram. The second tool is the histogram plot which displays directional data and the frequency of each class known as rose diagram. The last tool is plotting the earthquakes distribution on Latitude and Longitude versus its depth which shows many analytical facts. A quick description of these three tools is given below.
Sedimentology scientists commonly use graphical representations to reduce complexities, recognize trends and patterns in the data, and develop hypotheses. The most common methods used by sedimentologists is to plot the basic gravel, sand, silt, and clay percentages on equilateral triangular diagrams. This present data simplify and facilitates rapid classification of sediments and comparison of samples (Poppea and Eliasonb 2008). Another example for using the triangle diagram for data analysis is the research by Lawrence and others where they wrote four computer programs to facilitate analysis of sediment grain-size data (Lawrence et al. 2010). Also in seismology, Henri s. Swolfs (Swolfs 1984) introduces the triangle diagram as a new graphical method that facilitates the representation and interpretation of the generally anisotropic in situ- states-of stress measured in rocks. The purpose of the method is to clearly and easily display these stress states, each measured in terms of three values, in two-dimensional space; this is done by projecting three-dimensional stress space onto a triangular-coordinate (ternary) diagram and plotting the measured stress states as points (Henri s. Swolfs 1984). Cliff Frohlich introduced the ternary method for displaying focal mechanism by using each vertex to represent Normal, Thrust, and Strike-Slip focal mechanisms (Frohlich 1992). So, ternary diagrams are graphs used to plot plotting double-couple earthquake focal mechanisms using the three vertices to corresponds ‘pure’ strike-slip, normal, and thrust mechanisms (Frohlich 1992, 1996; Frohlich and Apperson 1992). Also, Frohlich states that triangle diagrams are simply a quantitative graphical method for using the dip angles of T, B and P axes for displaying focal mechanisms. Frolich shows how to display the distribution of focal mechanism orientations of groups of earthquakes on a triangle diagram using quantitative methods (Frohlich 2001). Some general purpose software was done to plot ternary diagram using Microsoft Excel, but it only show the diagram without any more comments or analysis on the result shown.
A histogram plot which displays directional data and the frequency of each class is called rose diagram when the histogram is on circular shape. Rose diagrams are commonly used in sedimentary geology to display palaeo current data, or the orientation of particles, and in structural geology to plot the orientation of joints and dykes. Also, wind directions and frequencies can also be plotted on rose diagrams. Histogram plot are useful for showing azimuthal (directional) data. Generally, any dataset consisting of lots of measurements of direction or orientation could be visualized this way.
Earthquake location-depth diagram
Another analysis method of long tables of geophysical data or seismic hazards data is Location depth diagram. Generally, almost all researches in this field present their long list of earthquakes on maps or on x-y plot of latitude and longitude to visualize the data relative to its location. Recently, researcher improves the Lat. vs. Long (location) plot to be 3D plot adding depth as the third dimension. Integrating these three x-y plot on one graph gives a great analysis force to visualize the cross section of earthquake locations with depth. In the application proposed, the magnitude representation of the earthquakes is added to visualize a forth parameter.
Description of application proposed
The main goals of the application software are to provide visualization of graphical representation of focal mechanism data sets, creating analysis report automatically, also be user friendly, and many other advantages. The application contains interface windows which designed to facilitate execution, allowing users to select options primarily with minimum mouse-click, or through interactive dialogue boxes. Also the designed screens are almost similar to the most commonly used and all dialogues are of Microsoft Dot net dialogues. Therefore the new application looks familiar and is user friendly.
The second screen contains 4D graph represented by three X-Y plots relations, namely Latitude versus Longitude, Latitude versus depth, and Longitude versus depth. The forth parameter is an option to represent the magnitude.
Results and discussions
The second window is the X-Y plot of latitude, Longitude, and depth. These plots are shown by pressing the Location button from starting screen. This will open the second screen with empty three areas to show these relations. Pressing “plot” button, opens dialogue to write the suitable title of the graph, then all the three relations are plotted.
The automatic analysis report is shown in the appendix.
The new implementation of the software used for focal mechanism analysis provides many advantages using data graphical representation approach. First, it integrates several tools into single software. Second advantage, it produce analytic reports automatically. The ternary diagram improves the data classification into seven divisions. Dataset from Saudi Arabia is used to confirm the effectiveness of the application and time spent to write code.
- Aki K, Richard, PG (1980) Quantitative Seismology, W. H. Freeman, San FranciscoGoogle Scholar
- Frohlich C (1992) Triangle diagrams: ternary graphs to display similarity and diversity of earthquake focal mechanisms, Physics of the Earth and Planetary Interiors, 75, 193–198, Elsewer Science Pubhshers B V, AmsterdamGoogle Scholar
- Frohlich C (1996) Cliff's nodes concerning plotting nodal lines for P, Sh, and Sv, seism. Res Lett 67:16–24Google Scholar
- https://openrose.soft112.com/ (2017) 09:28, Simple open source Windows C# .NET application to create rose diagrams, last updated 2009-09-13Google Scholar
- Lawrence J. Poppe, Andrew H. Eliason, and Kathrine Y. McMuller (2010) A versatile suite of laboratorynonspecific software for processing sediment grain-size data, 2nd Joint Federal Interagency Conference, Las VegasGoogle Scholar
- Poppe LJ, Eliason AH (2008) Short note: a visual basic programto plot sediment grain-size data on ternary diagrams. Comput Geosci 34:561–565Google Scholar
- Reasenberg P, Oppenheimer D (1985) FPFIT, FPPLOT and FPPAGE: Fortran computer programs for calculating and displaying earthquake fault-plane solutions, U.S. Geological Survey, Open-File Report No. 85–739, 109Google Scholar
- Swolfs HS (1984) The Triangular Stress Diagram A Graphical Representation of Crustal Stress Measurements, United States government printing office, Washington, (Geological Survey Professional Paper; 1291), 19Google Scholar
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