A new method for smoothing orientated data and its application to stress data

Müller, Birgit; Wehrle, Veronika; Hettel, S.; Sperner, Blanka; Fuchs, Karl

doi:10.1144/gsl.sp.2003.209.01.11

Cited by 29 publications

(34 citation statements)

References 23 publications

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“…Panels (d) and (e) show the thermal structure at a depth of 80 km from two 3-D thermal models adopted in this study. (d) TM1, a heat flow-based thermal structure inferred from the TC1 model of Artemieva (2006) in the continents and the seafloor age model of Müller et al (2008) in the oceanic areas. (e) TM2, the thermal structure of the upper mantle inferred from the S-wave tomography model SL2013sv of Schaeffer and Lebedev (2013).…”

Section: Thermal and Density Structures Of The Upper And Lower Mantlementioning

confidence: 99%

“…Following the stress interpolation method presented by Müller et al (2003), we used their fixed search radius (FSR) method which uses a global weighting defined by a fixed Euclidean distance for the stress data interpolation and stress quality. The smoothed stress field orientation at a grid point is based on the dominant stress data orientation within the selected radius.…”

Section: Modeled Versus Observed Lithospheric Stress Fieldmentioning

confidence: 99%

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Effects of upper mantle heterogeneities on the lithospheric stress field and dynamic topography

et al. 2018

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Abstract. The orientation and tectonic regime of the observed crustal/lithospheric stress field contribute to our knowledge of different deformation processes occurring within the Earth's crust and lithosphere. In this study, we analyze the influence of the thermal and density structure of the upper mantle on the lithospheric stress field and topography. We use a 3-D lithosphere-asthenosphere numerical model with power-law rheology, coupled to a spectral mantle flow code at 300 km depth. Our results are validated against the World Stress Map 2016 (WSM2016) and the observationbased residual topography. We derive the upper mantle thermal structure from either a heat flow model combined with a seafloor age model (TM1) or a global S-wave velocity model (TM2). We show that lateral density heterogeneities in the upper 300 km have a limited influence on the modeled horizontal stress field as opposed to the resulting dynamic topography that appears more sensitive to such heterogeneities. The modeled stress field directions, using only the mantle heterogeneities below 300 km, are not perturbed much when the effects of lithosphere and crust above 300 km are added. In contrast, modeled stress magnitudes and dynamic topography are to a greater extent controlled by the upper mantle density structure. After correction for the chemical depletion of continents, the TM2 model leads to a much better fit with the observed residual topography giving a good correlation of 0.51 in continents, but this correction leads to no significant improvement of the fit between the WSM2016 and the resulting lithosphere stresses. In continental regions with abundant heat flow data, TM1 results in relatively small angular misfits. For example, in western Europe the misfit between the modeled and observation-based stress is 18.3 • . Our findings emphasize that the relative contributions coming from shallow and deep mantle dynamic forces are quite different for the lithospheric stress field and dynamic topography.

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Section: Thermal and Density Structures Of The Upper And Lower Mantlementioning

confidence: 99%

Section: Modeled Versus Observed Lithospheric Stress Fieldmentioning

confidence: 99%

Effects of upper mantle heterogeneities on the lithospheric stress field and dynamic topography

et al. 2018

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“…The smoothed stress field orientation at a grid point is based on the dominant stress data orientation within the selected radius. For a detailed explanation on the FSR method 5 see Müller et al (2003). Stress data with quality A, B, and C with known stress regime were considered.…”

Section: Modeled Versus Observed Lithospheric Stress Fieldmentioning

confidence: 99%

Effects of upper mantle heterogeneities on lithospheric stress field and dynamic topography

Tutu¹,

Steinberger²,

Sobolev³

et al. 2017

Preprint

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Abstract. The orientation and tectonic regime of the observed crustal/lithospheric stress field contribute to our knowledge of different deformation processes occurring within the Earth's crust and lithosphere. In this study, we analyze the influence of the thermal and density structure of the upper mantle on the lithospheric stress field and topography. We use a 3D lithosphereasthenosphere numerical model with power-law rheology, coupled to a spectral mantle flow code at 300 km depth. Our results are validated against the World Stress Map 2016 and the observation-based residual topography. We derive the upper mantle 5 thermal structure from either a heat flow model combined with a sea floor age model (TM1) or a global S-wave velocity model (TM2). We show that lateral density heterogeneities in the upper 300 km have a limited influence on the modeled horizontal stress field as opposed to the resulting dynamic topography that appears more sensitive to such heterogeneities. There is hardly any difference between the stress orientation patterns predicted with and without consideration of the heterogeneities in the upper mantle density structure across North America, Australia, and North Africa. In contrast, we find that the dynamic 10 topography is to a greater extent controlled by the upper mantle density structure. After correction for the chemical depletion of continents, the TM2 model leads to a much better fit with the observed residual topography giving a correlation of 0.51 in continents, but this correction leads to no significant improvement in the resulting lithosphere stresses. In continental regions with abundant heat flow data such as, for instant, Western Europe, TM1 results in relatively a small angular misfits of 18.30

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“…A-quality means that the orientation of S H is accurate to within ±15°, B-quality to within ±20° and C-quality to within ±25°. In gen- Müller et al (2003). Thin black lines display the trajectories of relative plate movement of Africa with respect to Eurasia after DeMets et al (2010).…”

Section: Quality Ranking Of Wsm Stress Data For Rock Mechanics and Romentioning

confidence: 99%

“…In Fig. 3b, red bars indicate smoothed S H orientations on a regular grid using the smoothing algorithm described in detail in Müller et al (2003) with a search radius, R of 250 km (R = 250 km) and a minimum number, n of three data records within the search radius (n = 3). Curved, thin black lines display the trajectories of relative movement of the Africa plate with respect to the Eurasian plate using the Eulerian pole described in DeMets et al (1994DeMets et al ( , 2010.…”

Section: Stress Orientation Mapsmentioning

confidence: 99%