The weak fault problem and strength of the crust
John Suppe

The central Taiwan thrust belt is an important laboratory for study of fault and crustal mechanics because its structure is well constrained and it is the site of the well-instrumented 1999 Chi-Chi earthquake (Mw 7.6) and the post-Chi-Chi TCDP scientific drill holes. Here we summarize recent results on crustal and fault strength within this active thrust belt, based on critical-taper wedge mechanics and published TCDP temperature anomalies and stress measurements. These constraints indicate that the major faults are exceedingly weak with effective friction of approximately 0.03-0.1, whereas the deforming crust containing them is strong (sigma_{1}-sigma_{3})/ rho gz approximately 0.6-1. Thus there is an order of magnitude difference between fault strength and crustal strength sigma_{tau}/(sigma_{1}-sigma_{3}) approximately 0.1. Furthermore, the extreme fault weakness is not caused by regional ambient high pore-fluid pressures as classically proposed by the Hubbert and Rubey because petroleum bore-hole data show that the fluid pressures are regionally hydrostatic. These results underline the outstanding causal questions of fault weakness and crustal strength.

The classic graph of crustal strength as a function of depth shows linearly increasing brittle strength above the brittle-plastic transition. This linear increase is a consequence not only of the pressure dependence of brittle strength but also an assumption that the depth-normalized pore-fluid pressure lambda = P_{f}/ rho_{r} gz is constant, which is perhaps only plausible in the case of hydrostatic pore-fluid pressures (lambda approximately 0.4). Much deep bore-hole stress data agrees with this assumption, showing the predicted linear increase in strength together with stress magnitudes that are consistent with hydrostatic pore-fluid pressures. In contrast, observed pore-fluid pressures in deeper parts of deforming clastic sedimentary basins and active plate-boundary mountain belts are commonly in excess of hydrostatic. These deforming sedimentary basins typically have pore-fluid pressures that are dominated by disequilibrium compaction, showing fully compacted sediments with hydrostatic fluid pressures at shallow depths until the fluid-retention depth z_{FRD} is reached, below which sediments are increasingly undercompacted and overpressured. For this disequilibrium-compaction mechanism, the fractional brittle weakening (1-lambda) below the fluid-retention depth is a simple function of depth (1-lambda) approximately 0.6(z_{FRD}/z), which directly leads to a predicted crustal-strength profile that is radically different from the classic hydrostatic profile. The brittle strength below the fluid-retention depth is predicted to be constant and equal to the strength at the fluid-retention depth. Some stress measurements in deeper parts of sedimentary basins appear consistent with this constant-strength prediction. Furthermore, observations from western Taiwan show that $z_{FRD}$ is fixed relative to the land surface during active uplift and erosion, therefore crustal strength should be approximately unchanged by exhumation except for cohesive effects. The full limits of the disequilibrium-compaction regime are not well know. However it is only as non-hydrostatic pore-fluid pressures decay that deformed sedimentary mountain belts are expected to show crustal strengths similar to the classic graph.