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Table 1 Summary of the physical parameters controlling fault dynamics and viscoelastic flow

From: Structural control and system-level behavior of the seismic cycle at the Nankai Trough

Segment A—accretionary prism

 Static friction coefficient

\(\mu\)

0.1

 Effective normal stress

\(\bar{\sigma }\)

35 MPa

 Direct-effect parameter

a

\(5.85\times 10^{-2}\)

 Steady-state parameter (velocity-weakening)

\(b-a\)

\(1.5\times 10^{-3}\)

 Characteristic weakening distance

L

\(4\,\hbox {cm}\)

 Loading rate

\(V_{\rm L}\)

\(1.2\times 10^{-9}\,\hbox {m/s}\)

 Segment width

W

\(41.75\,\hbox {km}\)

Segment B—seismogenic zone

 Static friction coefficient

\(\mu\)

0.6

 Effective normal stress

\(\bar{\sigma }\)

\(20\,\hbox {MPa}\)

 Direct-effect parameter

a

\(7.6\times 10^{-3}\)

 Steady-state parameter (velocity-weakening)

\(b-a\)

\(2.4\times 10^{-3}\)

 Characteristic weakening distance

L

\(8\,\hbox {mm}\)

 Loading rate

\(V_{\rm L}\)

\(1.8\times 10^{-9}\,\hbox {m/s}\)

 Segment width

W

\(148.75\,\hbox {km}\)

Segment C—metamorphic belt (mantle wedge corner)

 Static friction coefficient

\(\mu\)

0.6

 Effective normal stress

\(\bar{\sigma }\)

\(20\,\hbox {MPa}\)

 Direct-effect parameter

a

\(2\times 10^{-3}\)

 Steady-state parameter (velocity-weakening)

\(b-a\)

\(4.5\times 10^{-4}\)

 Characteristic weakening distance

L

\(4.1\,\hbox {mm}\)

 Loading rate

\(V_{\rm L}\)

\(1.8\times 10^{-9}\,\hbox {m/s}\)

 Segment width

W

\(24\,\hbox {km}\)

Segment D—mantle lid

 Static friction coefficient

\(\mu\)

0.6

 Effective normal stress

\(\bar{\sigma }\)

\(20\,\hbox {MPa}\)

 Direct-effect parameter

a

\(2\times 10^{-3}\)

 Steady-state parameter (weakening near velocity-neutral)

\(b-a\)

\(2\times 10^{-4}\)

 Characteristic weakening distance

L

\(0.7\,\hbox {mm}\)

 Loading rate

\(V_{\rm L}\)

\(1.8\times 10^{-9}\,\hbox {m/s}\)

 Segment width

W

\(32\,\hbox {km}\)

Segment E—mantle wedge

 Static friction coefficient

\(\mu\)

0.6

 Effective normal stress

\(\bar{\sigma }\)

\(40\,\hbox {MPa}\)

 Direct-effect parameter

a

\(1\times 10^{-2}\)

 Steady-state parameter (velocity-strengthening)

\(a-b\)

\(2\times 10^{-3}\)

 Characteristic weakening distance

L

\(2.5\,\hbox {cm}\)

 Loading rate

\(V_{\rm L}\)

\(1.8\times 10^{-9}\,\hbox {m/s}\)

 Segment width

W

\(53.5\,\hbox {km}\)

Viscoelastic substrate—upper mantle, oceanic asthenosphere

 Background strain rate

\(\dot{\varepsilon }^0_{22}\)

\(-10^{-15}\hbox { s}^{-1}\)

 Basal mantle temperature

T

\(1673\,\hbox {K}\)

 Prefactor

A

\(90\hbox { MPa}^{-n}\hbox {s}^{-1}\hbox {(ppm H/Si)}^{-r}\)

 Power-law stress exponent

n

3.5

 Activation energy

E

\(460\,\hbox {kJ/mol}\)

 Activation volume

\(\Omega\)

\(11\times 10^{-6}\hbox { m}^3/\hbox {mol}\)

 Water content

\(C_{\rm OH}\)

1000 (ppm H/Si)

 Water content exponent

r

1.2

  1. The model assumes uniform elastic properties with a shear modulus of \(G=30\,\hbox {GPa}\), Poisson’s ratio \(\nu =0.25\), and shear wave speed \(V_S=3\times 10^{3}\,\hbox {m/s}\). The reference slip velocity is \(V_0=10^{-6}\,\hbox {m/s}\)