EPS8_2024W_Lab07_GR_law

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Apr 3, 2024

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Student’s name: TA’s name: Section: 1 ESS 8 - Earthquakes Lab7: Earthquake sequence: Gutenberg-Richter’s law This week’s lab focuses on the Gutenberg-Richter relationship of earthquake sizes and numbers. You will collect data and analyze them to evaluate the applicability of Gutenberg-Richter’s Law to these earthquake sequences. Magnitude distribution in Japan region since 1970. Go to the IRIS Earthquake Browser – Japan Region: https://tinyurl.com/yc3azhmj 1) Click “Magnitude Range”, and set the upper bound to 10. a. (1 pt) To get the number of EQ with magnitude > 8.0, set the lower bound to 8.0 and click the “Apply” button. Find the Earthquake Count below. The number of earthquakes M>8.0 in Japan 1970 – now is: b. (1 pt) Now set the lower bound to 7.5 and repeat. The number of earthquakes M>7.5 in Japan 1970 – now is: c. (1 pt) Repeat for magnitudes 7, 6, 5.5, and 5. The number of earthquakes M>7.0 in Japan from 1970 – now is: d. (1 pt) The number of earthquakes M>6.0 in Japan from 1970 – now is: e. (1 pt) The number of earthquakes M>5.5 in Japan from 1970 – now is: f. (1 pt) The number of earthquakes M>5.0 in Japan from 1970 – now is:
2 2) a. (1 pt) Plot your results on the semi-log graph below. Note you can either print the following graph and draw by hand, or draw in Word directly. To learn how to plot straight lines/markers in Word, please see the Official tutorial: https://support.office.com/en-us/article/insert-a-line- 9bf172f6-5908-4791-9bb9-2c952197b1a9
Student’s name: TA’s name: Section: 3 b. (2 pts) Fit by eye a straight line through your data. c. (2 pts) What you have just plotted is the Gutenberg-Richter relation. This relation describes the number of earthquakes occurring above a given magnitude, and is given by the equation LogN = a – bM, where N is the number of earthquakes above magnitude M. Both “a” and “b” are constants. The slope of the line is given by the b-value in the equation. Using your plot, what is the b-value for Japan for this period? [Instruction: Pick up two points on the straight line you drew and read their coordinates (M 1 , N 1 ) and (M 2 , N 2 ). Then slope = !"# !" (% # )’!"# !" (% ! ) ( # ’( ! and b = - slope ] d. (2 pts) Based on your chart, how many earthquakes with M>6.5 do you expect to have happened in Japan from 1970-now?
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4 Probabilities (1 pt) A fault rupture has a recurrence time for a magnitude 7 quake of 200 years. What are the chances of a M7 quake in the next 10 years? (1 pt) Based on that, what are the chances of a M6 quake in the next 5 years on this fault?

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