Computer-based method to separate heterogeneous sets of fault-slip data into sub-sets

Huang, Qin

doi:10.1016/0191-8141(88)90062-4

Cited by 42 publications

(9 citation statements)

References 5 publications

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“…As a consequence of this assumption, the total number of unknown stress parameters is reduced to four. In practical applications, one has to first classify data, which can generally be heterogeneous (Angelier & Manoussis 1980; Huang 1988; Yamaji 2000). For example, given a set of faults/striae, we must first check whether they should be clustered into a number of subsets, and as a result, decide a proper area and time span for each subset of data.…”

Section: The Principle For Inverting Stress Tensorsmentioning

confidence: 99%

“…First, a number of methods have been proposed to reduce or eliminate the effect of outliers on the stress tensor (Gephart & Forsyth 1984; Will & Powell 1991) and to deal with heterogeneous data (see e.g. Angelier & Manoussis 1980; Huang 1988; Wyss & Lu 1995; Albarello 2000; Yamaji 2000). Second, keeping in mind that only a reduced deviatoric stress tensor can be found from fault planes and slip/striae directions, Angelier (1989) used empirical relations pertaining to rupture, friction and depth to constrain the principal stresses and orientations, and showed that the full stress tensor can be completely determined with these extra constraints.…”

Section: Introductionmentioning

confidence: 99%

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Determination of regional stress tensors from fault-slip data

2004

Geophysical Journal International

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S U M M A R YStress tensors are regularly determined from fault-slip and/or earthquake focal mechanism data in structural geology and seismotectonics. The inverse problem is non-linear, unless empirical rules of rupture and friction are employed. All the methods used to date to determine the stress tensor to this non-linear inverse problem are of a local nature, and thus cannot guarantee that the global optimal stress tensor has been obtained. We apply a hybrid global optimization method to find the global optimal stress tensor. Although the inverse problem is non-linear, the effect of non-linearity on the biases of stress tensors has not been investigated. We will examine the biases of inverted stress tensors and their effect on the principal orientations of stress and the shape parameter of the stress ellipsoid. The biases of stress parameters have been shown to be comparable with the estimated stress parameters numerically. We compare the accuracy of the four stress parameters, with and without taking the errors in fault planes into account. If the errors in fault planes are not taken into account, the stress parameters are too optimistically estimated by a factor of 4 to 9 in the example. We will also mathematically reformulate the assumption that the directions of maximum shear stress represent those of slips on fault planes as two functionally independent but equivalent constraints of equality. The new formulation is computationally more effective and provides a correct method for calculating the accuracy of stress parameters.

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Section: The Principle For Inverting Stress Tensorsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Determination of regional stress tensors from fault-slip data

2004

Geophysical Journal International

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“…The Marrett and Allmendinger "kinematic" method differs from the so-called "dynamic" methods commonly used to infer the orientation of a stress field from fault-slip data via numerical (Angelier, 1984;Gephart and Forsyth, 1984;Reches, 1987;Huang, 1988) quires that the stress field is homogeneous, faults are coeval and faults do not interact mechanically, all of which are untenable assumptions (Marrett and Allmendinger, 1990). Dynamic analysis can techniques (Reches 1983;Lisle, 1987;Angelier, 1994).…”

Section: Methodsmentioning

confidence: 99%

Kinematic Analysis of Fault-Slip Data in the Central Range of Papua, Indonesia

Sapiie¹

2016

Indonesian J. Geosci.

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-Most of the Cenozoic tectonic evolution in New Guinea is a result of obliquely convergent motion that led to an arc-continent collision between the Australian and Pacific Plates. The Gunung Bijih (Ertsberg) Mining District (GBMD) is located in the Central Range of Papua, in the western half of the island of New Guinea. This study presents the results of detailed structural mapping concentrated on analyzing fault-slip data along a 15-km traverse of the Heavy Equipment Access Trail (HEAT) and the Grasberg mine access road, providing new information concerning the deformation in the GBMD and the Cenozoic structural evolution of the Central Range. Structural analysis indicates that two distinct stages of deformation have occurred since ~12 Ma. The first stage generated a series of en-echelon NW-trending (π-fold axis = 300°) folds and a few reverse faults. The second stage resulted in a significant left-lateral strike-slip faulting sub-parallel to the regional strike of upturned bedding. Kinematic analysis reveals that the areas between the major strike-slip faults form structural domains that are remarkably uniform in character. The change in deformation styles from contractional to a strike-slip offset is explained as a result from a change in the relative plate motion between the Pacific and Australian Plates at ~4 Ma. From ~4 -2 Ma, transform motion along an ~ 270° trend caused a left-lateral strike-slip offset, and reactivated portions of pre-existing reverse faults. This action had a profound effect on magma emplacement and hydrothermal activity.

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“…A critical issue is the common heterogeneous or polyphase character of fault/slip data, resulting from the varying tectonic stress field during geological history. The heterogeneity has two aspects: multiple generations of newly generated faults and reactivation of preexisting faults [ Huang , 1988; Fry , 2003]. In the former, the faulting is in the plane with maximum resolved shear.…”

Section: Introductionmentioning

confidence: 99%

“…The parameter space is reduced from five to three dimensions, as will be discussed below. This peculiarity has never been taken into account by most previous stress inversion methods for heterogeneous fault/slip data [e.g., Huang , 1988; Hardcastle and Hills , 1991; Nemcok and Lisle , 1995; Nemcok et al , 1999; Yamaji , 2000; Shan et al , 2003].…”

Section: Introductionmentioning

confidence: 99%

A simple stress inversion of fault/slip data assuming Andersonian stress state

Shan

et al. 2004

J. Geophys. Res.

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Stress inversion from fault/slip data is an important modern technique for structural geologists. The parameter (or sigma) space may be reduced from five to three dimensions if an Andersonian stress state (having a vertical principal direction) is assumed. In such a case, associated fault/slip data can be displayed after some transformation on a stereonet. Homogeneous fault/slip data tend to lie in a great circle, while heterogeneous data lie in no less than two great circles. Visual appreciation thus becomes fairly easy, in particular, separation of the heterogeneous fault/slip data set into many homogeneous subsets. The unit vectors normal to the great circles are the solutions giving the controlling reduced stress vectors (v). Permitted solutions to a homogeneous set or subset are v and −v. The acceptability of each solution depends upon the fit between calculated and measured fault slip senses. Several examples of applications of this method are used for its validation. These examples also illustrate the potential value of the method in making a rough, simple and visual appreciation of fault/slip data under approximately Andersonian stress. We believe the method will have a broad applicability as Andersonian stress represents the ideal states for the various tectonic regimes.

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Computer-based method to separate heterogeneous sets of fault-slip data into sub-sets

Cited by 42 publications

References 5 publications

Determination of regional stress tensors from fault-slip data

Determination of regional stress tensors from fault-slip data

Kinematic Analysis of Fault-Slip Data in the Central Range of Papua, Indonesia

A simple stress inversion of fault/slip data assuming Andersonian stress state

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