The application of computed piezomagnetic models to volcanic phenomena

Piezomagnetic models, suitable for volcanological applications, can be readily calculated by numerical surface integral methods, providing both savings in computational time and an ability to deal with arbitrarily shaped magnetoelastic media. Studies of piezomagnetic changes have traditionally used models based on the Mogi model in which a spherical underground pressure source is included to represent a magma chamber. We extended the Mogi model to include inclined column sources, as in the Walsh and Decker model, and evaluated piezomagnetic changes for vertical, horizontal, and inclined columns. Our analysis method considers any dependency of magnetic changes on the angle of column inclination. This numerical approach allows for construction of piezomagnetic models that closely resemble actual volcanic phenomena.