Piezomagnetic potentials due to an inclined rectangular fault in a semi-infinite medium

Analytical solutions for the piezomagnetic potentials are derived for strik e-slip, dip-slip and tensile-opening fault motions with arbitrary dip and s trike angles, so as to be applicable in various types of earthquakes. These solutions are expressed as the composition of elementary functions which a re identical to the magnetic potentials produced by magnetic dipoles, quadr upoles and octupoles distributed on the fault plane and other planes. There fore, the geomagnetic field changes due to the piezomagnetic effect are exp ressed by the superposition of the fields produced by these equivalent sour ces. Examples of calculated results show characteristic features for various typ es of fault motions as follows: (1) the pattern of the geomagnetic field ch anges becomes significantly different depending on the strike direction, al though the maximum amplitude is almost the same for all directions; (2) the geomagnetic field change reaches a maximum at a dip angle of 90 degrees fo r strike-slip and tensile-opening fault motions and at 45 degrees for dip-s lip fault motion.