Spontaneous Rupture Propagation on a Non-planar Fault in 3-D Elastic Medium

Aochi, Hideo; Fukuyama, Eiichi; Matsu’ura, Mitsuhiro

doi:10.1007/pl00001072

Cited by 130 publications

(125 citation statements)

References 39 publications

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“…We assume different applied shear stress on the primary fault and the branch, which is equivalent to assuming a triaxial compression field surrounding the fault system. Such a loading system has been considered for a curved fault [Aochi et al, 2000]. Assuming that the residual stress level r,be zero, the inclined angles of the plane applied with the maximum shear stress for the cases (1)- (4) …”

Section: The Effect Of Heterogeneous Stress Distributionmentioning

confidence: 99%

Selectivity of spontaneous rupture propagation on a branched fault

Aochi

Fukuyama

Matsu’ura

2000

Geophysical Research Letters

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Abstract.We simulated spontaneous dynamic rupture propagation on a branched fault system using the boundary integral equation method (BIEM) in 3D homogeneous, unbounded elastic medium. From the numerical experiments, we found that slightly heterogeneous preload stress field on the branches caused selective rupture propagation. Dynamic rupture propagation spontaneously on both branches requires very delicate conditions for the initial stress field as well as for the fracture criterion on them.

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Section: The Effect Of Heterogeneous Stress Distributionmentioning

confidence: 99%

Selectivity of spontaneous rupture propagation on a branched fault

Aochi

Fukuyama

Matsu’ura

2000

Geophysical Research Letters

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“…This implies that if the whole BIEs can be divided into two parts: one is related to direct waves, and the other is related to free surface, we only need to deal with the latter. The former is exactly the BIEs based on full-space Green's function (Aochi et al, 2000. Fortunately, this is true when the half-space Green's function is expressed as wave-number integrals in frequency domain, as shown by Zhang and Chen (2009).…”

Section: General Boundary Integral Equationsmentioning

confidence: 99%

“…In this section, we apply the box-like discretization scheme (see, Fukuyama and Madariaga, 1998;Aochi et al, 2000) to obtain the discrete BIEs which are convenient for numerical computation. In the source coordinate system, slip rate can be expressed as…”

Section: Discrete Boundary Integral Equationsmentioning

confidence: 99%

“…For example, field investigations show that the Wenchuan earthquake ruptured two NW-dipping imbricate reverse faults along the problems on complex fault system. In recent years, the BIEM has been successfully applied not only to the dynamic problem on parallel faults system (Yamashita and Fukuyama, 1996;Kame and Yamashita, 1997), which has usually been investigated by the FDM (Harris et al, 1991;Day, 1993, 1999), but also to the dynamic propagation and fault interaction problems on vertically intersecting faults and arbitrarily curved faults (Koller et al, 1992;Bouchon and Streiff, 1997;Kame and Yamashita, 1999;Tada and Yamashita, 1997;Aochi et al, 2000Aochi et al, , 2005Tada et al, 2000;Aochi and Madariaga, 2003).…”

Section: Introductionmentioning

confidence: 99%

“…a vertical piecewise planar fault) embedded in half-space are strictly derived based on the exact Green's function for half-space in this study. According to Zhang and Chen (2009), the kernels in the BIEs can be separated into two parts: contributions from direct waves, which are exactly equal to those computed based on full-space Green's function (Aochi et al, 2000Aochi and Madariaga, 2003), and contributions from free surface, which will be treated carefully in this study.…”

Section: Introductionmentioning

confidence: 99%

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Boundary integral equations for dynamic rupture propagation on vertical complex fault system in half-space: Theory

2010

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The boundary integral equation method (BIEM) is now widely used in numerical studies on earthquake rupture dynamics, and is proved to be a powerful tool to deal with problems on complex fault system. However, since this method heavily lies on the specific forms of Green's function and only the Green's function in full-space has a closed analytic expression, it is usually limited to a full-space medium. In this study, as a first step to extend this method to an arbitrary complex fault system in half-space, the boundary integral equations (BIEs) for dynamic strike-slip on vertical complex fault system in half-space are derived based on exact Green's function for isotropic and homogeneous half-space. Effect of the geometry of the complex fault system are dealt with carefully. Final BIEs is composed of two parts: contribution from full-space, which has been thoroughly investigated by Aochi and his co-workers by using the Green's function for full-space, and that from free surface, which is studied in detail in this study.

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Progression of spontaneous in‐plane shear faults from sub‐Rayleigh to compressional wave rupture speeds

2014

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We investigate numerically the passage of spontaneous, dynamic in-plane shear ruptures from initiation to their final rupture speed, using very fine grids. By carrying out more than 120 simulations, we identify two different mechanisms controlling supershear transition. For relatively weaker faults, the rupture speed always passes smoothly and continuously through the range of speeds between the Rayleigh and shear wave speeds (the formerly considered forbidden zone of rupture speeds). This, however, occurs in a very short time, before the ruptures reach the compressional wave speed. The very short time spent in this range of speeds may explain why a jump over these speeds was seen in some earlier numerical and experimental studies and confirms that this speed range is an unstable range, as predicted analytically for steady state, singular cracks. On the other hand, for relatively stronger faults, we find that a daughter rupture is initiated by the main (mother) rupture, ahead of it. The mother rupture continues to propagate at sub-Rayleigh speed and eventually merges with the daughter rupture, whose speed jumps over the Rayleigh to shear wave speed range. We find that this daughter rupture is essentially a "pseudorupture," in that the two sides of the fault are already separated, but the rupture has negligible slip and slip velocity. After the mother rupture merges with it, the slip, the slip velocity, and the rupture speed become dominated by those of the mother rupture. The results are independent of grid sizes and of methods used to nucleate the initial rupture.

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Spontaneous Rupture Propagation on a Non-planar Fault in 3-D Elastic Medium

Cited by 130 publications

References 39 publications

Selectivity of spontaneous rupture propagation on a branched fault

Selectivity of spontaneous rupture propagation on a branched fault

Boundary integral equations for dynamic rupture propagation on vertical complex fault system in half-space: Theory

Progression of spontaneous in‐plane shear faults from sub‐Rayleigh to compressional wave rupture speeds

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