Abstract

We investigate the sub-crustal stress in the Taiwan region. A tectonic configuration in this region is dominated by a collision between the Philippine oceanic plate and the Eurasian continental margin. The horizontal components of the sub-crustal stress are computed based on the modified Runcorn’s formulae in terms of the stress function with a subsequent numerical differentiation. This modification increases the (degree-dependent) convergence domain of the asymptotically-convergent series and consequently allows evaluating the stress components to a spectral resolution, which is compatible with currently available global crustal models. Moreover, the solution to the Vening Meinesz-Moritz’s (VMM) inverse isostasy problem is explicitly incorporated in the stress function definition. The sub-crustal stress is then computed for a variable Moho geometry, instead of assuming only a constant Moho depth. The regional results reveal that the Philippine plate subduction underneath the Eurasian continental margin generates the shear sub-crustal stress along the Ryukyu Trench. Some stress anomalies associated with this subduction are also detected along both sides of the Okinawa Trough. A tensional stress along this divergent tectonic plate boundary is attributed to a back-arc rifting. The sub-crustal stress, which is generated by a (reverse) subduction of the Eurasian plate under the Philippine plate, propagates along both sides of the Luzon (volcanic) Arc. This stress field has a prevailing compressional pattern.

Highlights

  • According to Runcorn’s (1964) definition the subcrustal stress can be determined from the gravity field

  • The refined Bouguer gravity anomalies at the surface points were calculated with a spectral resolution complete to a spherical harmonic degree of 180

  • The present convergence rate there is about 8 cm per year (Seno 1977; Seno et al 1993; Yu et al 1997). This tectonic plate boundary is rather complex, because it comprises an active orogenic belt formed by the collision between the Luzon Arc and the Eurasian continental margin (Teng 2011) and two subduction zones with reverse polarities

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Summary

Introduction

According to Runcorn’s (1964) definition the subcrustal stress (induced by mantle convection) can be determined from the gravity field. Liu (1977) applied Runcorn’s formulae to calculate the convection pattern and the stress system under the African tectonic plate. He later conducted a similar study for the sub-crustal stress under the Eurasian plate (Liu 1978) and presented a theory for the sub-crustal stress concentration and its relation with a seismogenic model for the Tangshan Earthquake (Liu 1979). Liu (1980) studied the relation between the intra-plate volcanism and the stress generated by mantle convection. Pick (1993) presented the closed-form formulae for the integral kernel in terms of the gravity anomaly and the geoid height to model the sub-crustal stress. He later conducted a similar study for the sub-crustal stress under the Eurasian plate (Liu 1978) and presented a theory for the sub-crustal stress concentration and its relation with a seismogenic model for the Tangshan Earthquake (Liu 1979). Liu (1980) studied the relation between the intra-plate volcanism and the stress generated by mantle convection. McNutt (1980) implemented the regional gravity field for studying the stress field within the crust and upper mantle. Ricard et al (1984) investigated a possible link between the lithospheric stress and the geoid undulations. Pick and Charvátová-Jakubcová (1988) modified Runcorn’s formulae to reduce the far-zone gravity anomaly contribution and the geoid undulations for local applications. Pick (1993) presented the closed-form formulae for the integral kernel in terms of the gravity anomaly and the geoid height to model the sub-crustal stress. Eshagh (2014) derived expressions for determining the sub-crustal stress using gravity gradiometry measurements

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