How to differentiate between normal and reverse fault, given a stress tensor? - Earth Science Stack Exchange most recent 30 from earthscience.stackexchange.com 2019-09-16T16:42:19Z https://earthscience.stackexchange.com/feeds/question/7587 https://creativecommons.org/licenses/by-sa/4.0/rdf https://earthscience.stackexchange.com/q/7587 3 How to differentiate between normal and reverse fault, given a stress tensor? Prithvi Thakur https://earthscience.stackexchange.com/users/5535 2016-02-26T06:48:38Z 2016-02-26T06:48:38Z <p>I want to generate synthetic fault slip data using a known stress tensor.</p> <p>I am using a rotation matrix to get the orientation of the principal stress axes, and rotating the tensor [1 0 0, 0 phi 0, 0 0 0] to get a reduced stress tensor.</p> <p>Then I have to create (strike, dip) of the plane and (trend, plunge) of the lineations.</p> <p>Right now, my equations look like this-</p> <p>T = [1 0 0, 0 phi 0, 0 0 0]</p> <p>R = rotation matrix (each row of R will contain the direction cosines of the principal stress axes)</p> <p>Reduced tensor (S) = R.T.(R_transpose)</p> <p>Randomly generate a fault plane (strike and dip), get its normal vector N.</p> <p>Stress Vector = S.N</p> <p>Using Normal Vector and Stress Vector, get the component of stress vector along the fault plane, i.e., the shear stress component.</p> <p>Get the trend and plunge of the shear stress component.</p> <p>Right now, I am unable to differentiate between normal and reverse faults by only varying the stress tensor. Do I also have to change the trend, plunge for them?</p> <p>I need the equations for implementing this on a computer program.</p>