@article{19e6316e802648d99d742e41ee80a92d,
title = "Curved scanline theory",
abstract = "This work develops the theory of measuring fracture frequency with curved scanlines, as a direct development of work done by others on straight scanlines. Various possible shapes for curved scanlines range between triangular and rectangular, with circular as a reasonable preliminary selection. The discrepancy among different selections decreases with increasing roughness amplitude of the scanline. Analytic solutions for average fracture frequency are given for circular scanlines through single and multiple fracture sets. Results for single fracture sets are plotted. The analytic solution for the general situation of any shape scanline through multiple fracture sets is given. Analytic solutions are given and plotted for circular scanlines through a fracture fabric ellipsoid. A circular scanline spanning 180 degrees yields a global fracture frequency of statistical significance.",
keywords = "Fracture, Interval, Scan line, Statistics",
author = "Ken Grossenbacher and Kenzi Karasaki and Dov Bahat",
note = "Funding Information: 1Received 27 November 1995; revised 4 November 1996. This work was carded out under U.S. Department of Energy Contract No. DEAC03-76SF00098 for the Director, Office of Civilian Radioactive Waste Management, Office of External Relations, and was administered by the Nevada Operations Office, U.S. Department of Energy. This work also was supported partially by the Power Reactor and Nuclear Fuel Development Corporation of Japan. 2Earth Sciences Division, Lawrence Berkeley National Laboratory, 1 Cyclotron Road, Berkeley, California 94720. e-mail: kkarasaki @ lbl.gov 3Department of Geology and Mineralogy, Ben Gurion University of the Negev, P.O. Box 653, Beer Sheva 84 105, Israel. Funding Information: We thank Bo Bodvarsson for his persistent encouragement. We thank Maria Fink, Jackie Gamble, and Carol {"}l;aliaferro for help with the figures and editing. We thank Kevin Hestir for reviewing the equations and Robert Zimmerman for discussion of elliptical integrals. This work was carried out under U.S. Department of Energy Contract No. DEAC03-76SF00098 for the Director, Office of Civilian Radioactive Waste Management, Office of External Relations, and",
year = "1997",
month = jan,
day = "1",
doi = "10.1007/BF02769648",
language = "English",
volume = "29",
pages = "629--651",
journal = "Mathematical Geosciences",
issn = "1874-8961",
publisher = "Springer Netherlands",
number = "5",
}