One slope or two? Detecting statistically significant breaks of slope in geophysical data, with application to fracture scaling relationships
The scaling of displacement as a function of length is important for a variety of applications which depend on the mechanical and hydraulic properties of faults and fractures. Recently it has been suggested that the power-law exponent nu which has been found to characterise this relationship may cha...
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1999
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ftucl:oai:eprints.ucl.ac.uk.OAI2:125624 2023-12-24T10:17:53+01:00 One slope or two? Detecting statistically significant breaks of slope in geophysical data, with application to fracture scaling relationships Main, IG Leonard, T Papasouliotis, O Hatton, CG Meredith, PG 1999-09-15 application/pdf https://discovery.ucl.ac.uk/id/eprint/125624/1/1999GL005372.pdf https://discovery.ucl.ac.uk/id/eprint/125624/ eng eng AMER GEOPHYSICAL UNION https://discovery.ucl.ac.uk/id/eprint/125624/1/1999GL005372.pdf https://discovery.ucl.ac.uk/id/eprint/125624/ open Geophysical Research Letters , 26 (18) 2801 - 2804. (1999) Length Article 1999 ftucl 2023-11-27T13:07:31Z The scaling of displacement as a function of length is important for a variety of applications which depend on the mechanical and hydraulic properties of faults and fractures. Recently it has been suggested that the power-law exponent nu which has been found to characterise this relationship may change significantly at a characteristic length for a variety of reasons, for example when cracks begin to interact, or when faults grow to a length comparable to a characteristic size in the brittle layer. Such a break of slope requires a second straight line, requiring two extra model parameters. Here we present a new method for analysing such data, which penalises the extra parameters using a modified form of Schwarz's Information Criterion, and a Bayesian approach which represents uncertainty in the unknown parameters. We apply the method to data from the Krafla fissure zone in the north of Iceland, and find a significant break of slope, from nu approximate to 3/2 to nu approximate to 2/3, at a characteristic length of 12 m. Article in Journal/Newspaper Iceland University College London: UCL Discovery Krafla ENVELOPE(-16.747,-16.747,65.713,65.713) |
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Open Polar |
collection |
University College London: UCL Discovery |
op_collection_id |
ftucl |
language |
English |
topic |
Length |
spellingShingle |
Length Main, IG Leonard, T Papasouliotis, O Hatton, CG Meredith, PG One slope or two? Detecting statistically significant breaks of slope in geophysical data, with application to fracture scaling relationships |
topic_facet |
Length |
description |
The scaling of displacement as a function of length is important for a variety of applications which depend on the mechanical and hydraulic properties of faults and fractures. Recently it has been suggested that the power-law exponent nu which has been found to characterise this relationship may change significantly at a characteristic length for a variety of reasons, for example when cracks begin to interact, or when faults grow to a length comparable to a characteristic size in the brittle layer. Such a break of slope requires a second straight line, requiring two extra model parameters. Here we present a new method for analysing such data, which penalises the extra parameters using a modified form of Schwarz's Information Criterion, and a Bayesian approach which represents uncertainty in the unknown parameters. We apply the method to data from the Krafla fissure zone in the north of Iceland, and find a significant break of slope, from nu approximate to 3/2 to nu approximate to 2/3, at a characteristic length of 12 m. |
format |
Article in Journal/Newspaper |
author |
Main, IG Leonard, T Papasouliotis, O Hatton, CG Meredith, PG |
author_facet |
Main, IG Leonard, T Papasouliotis, O Hatton, CG Meredith, PG |
author_sort |
Main, IG |
title |
One slope or two? Detecting statistically significant breaks of slope in geophysical data, with application to fracture scaling relationships |
title_short |
One slope or two? Detecting statistically significant breaks of slope in geophysical data, with application to fracture scaling relationships |
title_full |
One slope or two? Detecting statistically significant breaks of slope in geophysical data, with application to fracture scaling relationships |
title_fullStr |
One slope or two? Detecting statistically significant breaks of slope in geophysical data, with application to fracture scaling relationships |
title_full_unstemmed |
One slope or two? Detecting statistically significant breaks of slope in geophysical data, with application to fracture scaling relationships |
title_sort |
one slope or two? detecting statistically significant breaks of slope in geophysical data, with application to fracture scaling relationships |
publisher |
AMER GEOPHYSICAL UNION |
publishDate |
1999 |
url |
https://discovery.ucl.ac.uk/id/eprint/125624/1/1999GL005372.pdf https://discovery.ucl.ac.uk/id/eprint/125624/ |
long_lat |
ENVELOPE(-16.747,-16.747,65.713,65.713) |
geographic |
Krafla |
geographic_facet |
Krafla |
genre |
Iceland |
genre_facet |
Iceland |
op_source |
Geophysical Research Letters , 26 (18) 2801 - 2804. (1999) |
op_relation |
https://discovery.ucl.ac.uk/id/eprint/125624/1/1999GL005372.pdf https://discovery.ucl.ac.uk/id/eprint/125624/ |
op_rights |
open |
_version_ |
1786206293498789888 |