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Answers of Focal Mechanism Solutions - Homework 4 | GEOL 344, Assignments of Geology

Material Type: Assignment; Professor: Kattenhorn; Class: Earthquakes and Seismic Hazards; Subject: Geology; University: University of Idaho; Term: Spring 2008;

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Geol 344: Earthqu akes and Seismic Hazards Spring 2008
Home work Set 4: Foca l Mechanism Solut ions: Answe rs
1. The figure below shows focal mechanism solutions for three earthqua kes. The sha ded areas represent the
compressional regions in first arrivals at seismograph stations. The letters P and T refer to the compressional
and e xtensional strain axis orientations, respectively.
a) Draw the lines onto the fault plane solutions to show the orientations of the two fault planes in each
double-couple solution. Don’t forget, fault plane s always intersect the edges of the circle at two points
that are exactly on opposite sides of the circle, 180º apart. (6)
Red lines drawn below represent the double couple solution for each focal mechanism solution. All lines
intersect the edge of the circle at points 180º apart and reach the ir maximum curvature at the midway point
along the line. The fault pla nes represented by each dou ble couple must be oriented 90º a part in 3D space.
(6)
b) If there is any strike-slip motion on any of the faults, indicate this using arrows along the fault lines (i.e.,
indicate whether left-lateral or right-lateral). (4)
In A, there is a left-lateral fault and a right-lateral fault. In B, there are no strike-slip motions. In C, both faults
show a lateral component of motion (one left-lateral and one right-lateral). (4)
pf3
pf4

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Homework Set 4: Focal Mechanism Solutions: Answers

  1. The figure below shows focal mechanism solutions for three earthquakes. The shaded areas represent the compressional regions in first arrivals at seismograph stations. The letters P and T refer to the compressional and extensional strain axis orientations, respectively. a) Draw the lines onto the fault plane solutions to show the orientations of the two fault planes in each double-couple solution. Don’t forget, fault planes always intersect the edges of the circle at two points that are exactly on opposite sides of the circle, 180º apart. (6) Red lines drawn below represent the double couple solution for each focal mechanism solution. All lines intersect the edge of the circle at points 180º apart and reach their maximum curvature at the midway point along the line. The fault planes represented by each double couple must be oriented 90º apart in 3D space. (6) b) If there is any strike-slip motion on any of the faults, indicate this using arrows along the fault lines (i.e., indicate whether left-lateral or right-lateral). (4) In A, there is a left-lateral fault and a right-lateral fault. In B, there are no strike-slip motions. In C, both faults show a lateral component of motion (one left-lateral and one right-lateral). (4)

c) Use a table to document the following information for EACH of the six faults. Be sure to use the right- hand rule when determining the fault strike. (24) I. fault strike (in degrees) II. fault dip (in degrees) III. dip direction (compass direction) IV. fault type (if a strike-slip component exists, mention whether left-lateral or right-lateral) Solution A: FAULT: 1 2 Strike 064º 154 / 334º Dip 90º 90º Dip direction NA NA Fault type Strike-slip (left-lateral) Strike-slip (right-lateral) (8) Solution B: FAULT: 1 2 Strike 038º 218º Dip 84º 6º Dip direction SE NW Fault type reverse reverse (8) Solution C: FAULT: 1 2 Strike 110º 320º Dip 42º 40º Dip direction SSW NE Fault type Normal oblique (right-lateral) Normal oblique (left-lateral) (8) d) One of the focal mechanism solutions above represents a major earthquake that happened along the San Andreas fault in California. Determine which of the solutions (A, B, or C) is most likely to represent the California earthquake. EXPLAIN YOUR REASONING!! Then, decide which of the two faults in the solution you selected is the most likely fault that actually produced the earthquake. Again, EXPLAIN YOUR REASONING! (6) Solution A most likely represents the San Andreas fault as this solution shows an earthquake caused by a strike-slip fault and the San Andreas fault is a strike-slip fault. Of the two fault plane solutions in A, the most likely fault that caused the earthquake is fault 2 (strike/dip of 154º/90º) because it is oriented NW/SE and is a right-lateral fault, both of which agree with the characteristics of the San Andreas fault. (6)

  1. (a) Use the focal mechanism (aka moment tensor) data below to construct a focal mechanism diagram for the MW 7.4 Izmit earthquake in Turkey in 1999. Use the circle provided on the attached sheet to create your focal mechanism. Your strikes must be plotted with 100% accuracy so use a protractor to find the right angle around the circle. Use your stereonet from class to determine the curvature of the fault plane on the focal mechanism. Your dip must be accurate to within 5º accuracy. Remember, dips increase away from the circle boundary (0º dip) towards the circle center (90º dips). For both fault solutions, the strike direction is given below using the right-hand rule. FP = fault plane. Also, use the orientations of the principal strain axes to identify the shaded and unshaded quadrants of the focal mechanism solution. Plot the locations of these strain axes as points on your focal mechanism. (12)

(a) Use this information to construct a focal mechanism solution using the double-couple assumption. Shade in the compressional areas. Remember, the two fault planes must divide up the compressional first-arrival quadrants from the dilatational first-arrival quadrants. The easiest way to do this is to figure out where the two lines should intersect the outside of the circle in order to separate the shaded squares from the open circles. Then determine how curved each line needs to be. Remember, any fault plane always intersects the edges of the circle at two points spaced 180º apart. Also, the two fault planes must be mutually perpendicular in 3-D space (try to picture it in your head to see if the two planes your drew obey this requirement). (8) (8) (b) What are the strike, dip, dip direction, and slip sense of each fault that was potentially responsible for this earthquake? (8) FAULT: 1 2 Strike 345º 245º Dip 75º 70º Dip direction ENE NNW Fault type normal oblique (right-lateral) normal oblique (left-lateral) (8) [76]