@article {Simula.simula.195,
	title = {A Hamilton-Jacobi Framework for Modeling Folds in Structural Geology},
	journal = {Mathematical Geosciences},
	volume = {43},
	number = {7},
	year = {2011},
	month = {October},
	pages = {741-761},
	publisher = {Springer},
	abstract = {A novel mathematical framework for modeling folds in structural geology is presented. All the main fold classes from the classical literature: parallel folds, similar folds, and other fold types with convergent and divergent dip isogons are modeled in 3D space by linear and non-linear first-order partial differential equations. The equations are derived from a static Hamilton-Jacobi equation in the context of isotropic and anisotropic front propagation. The proposed Hamilton-Jacobi framework represents folded geological volumes in an Eulerian context as a time of arrival field relative to a reference layer. Metric properties such as distances, gradients (dip and strike), curvature, and their spatial variations can then be easily derived and represented as three-dimensional continua covering the whole geological volume. The model also serves as a basis for distributing properties in folded geological volumes.},
	doi = {10.1007/s11004-011-9357-2},
	author = {Hjelle, {\O}yvind and Steen Agerlin {Petersen}}
}
