Question

Estimate the radius and average slip of a circular fault for M values ranging from -2 to 8 (make a table at unit increments). Assume a constant stress drop (Δσ) of 3 MPa and a shear modulus (μ) of 30GPa. [Note: watch your units!]

Answer 1

To estimate the radius and average slip of a circular fault, use the formulas Radius = ((7/16) * (Δσ) * (10^6)) / ((μ) * (10^9)) and Average Slip = Radius * M. Here are the values for M ranging from -2 to 8 at unit increments with a constant stress drop of 3 MPa and a shear modulus of 30 GPa.

Step-by-step explanation:

To estimate the radius and average slip of a circular fault, we need to use the following formulas:

Radius = ((7/16) * (Δσ) * (10^6)) / ((μ) * (10^9))

Average Slip = Radius * M

Given a constant stress drop (Δσ) of 3 MPa and a shear modulus (μ) of 30 GPa, we can calculate the radius and average slip for M values ranging from -2 to 8 at unit increments:

MRadius (m)Average Slip (m)-20.019-0.038-10.038-0.03800.058010.0770.07720.0960.19230.1160.34840.1350.5450.1540.7760.1731.03870.1921.34680.2121.696