Temporal changes in pore fluid pressure during slow earthquake cycle estimated from foliation-parallel extension cracking
Authors: Otsubo Makoto , Ujiie Kohtaro , Saishu Hanae , Miyakawa Ayumu , Yamaguchi Asuka 
Published: March 2021

&lt;p&gt;Pore fluid pressure (P&lt;sub&gt;f&lt;/sub&gt;) is of great importance to understand slow earthquake mechanics. In this study, we estimated the pore fluid pressure during the formation of foliation-parallel quartz veins filling mode I cracks in the Makimine m&amp;#233;lange eastern Kyushu, SW Japan. The m&amp;#233;lange preserves quartz-filled shear veins, foliation-parallel extension veins and subvertical extension tension vein arrays. The coexistence of the crack-seal veins and viscously sheared veins (aperture width of a quartz vein: a few tens of microns) may represent episodic tremor and slow slip (Ujiie et al., 2018). The foliation-parallel extension cracks can function as the fluid pathway in the m&amp;#233;lange. We applied the stress tensor inversion approach proposed by Sato et al. (2013) to estimate stress regimes by using foliation-parallel extension vein orientations. The estimated stress is a reverse faulting stress regime with a sub-horizontal &amp;#963;&lt;sub&gt;1&lt;/sub&gt;-axis trending NNW&amp;#8211;SSE and a sub-vertical &amp;#963;&lt;sub&gt;3&lt;/sub&gt;-axis, and the driving pore fluid pressure ratio P* (P* = (P&lt;sub&gt;f&lt;/sub&gt; &amp;#8211; &amp;#963;&lt;sub&gt;3&lt;/sub&gt;) / (&amp;#963;&lt;sub&gt;1&lt;/sub&gt; &amp;#8211; &amp;#963;&lt;sub&gt;3&lt;/sub&gt;)) is ~0.1. When the pore fluid pressure exceeds &amp;#963;&lt;sub&gt;3&lt;/sub&gt;, veins filling mode I cracks are constructed (Jolly and Sanderson, 1997). The pore fluid pressure that exceeds &amp;#963;&lt;sub&gt;3&lt;/sub&gt; is the pore fluid overpressure &amp;#916;P&lt;sub&gt;f&lt;/sub&gt; (&amp;#916;P&lt;sub&gt;f&lt;/sub&gt; = P&lt;sub&gt;f&lt;/sub&gt; &amp;#8211; &amp;#963;&lt;sub&gt;3&lt;/sub&gt;). To estimate the pore fluid overpressure, we used the poro-elastic model for extension quartz vein formation (Gudmundsson, 1999). P&lt;sub&gt;f&lt;/sub&gt; and &amp;#916;P&lt;sub&gt;f&lt;/sub&gt; in the case of the Makimine m&amp;#233;lange are ~280 MPa and 80&amp;#8211;160 kPa (assuming depth = 10 km, density = 2800 kg/m&lt;sup&gt;3&lt;/sup&gt;, tensile strength = 1 MPa and Young&amp;#8217;s modulus = 7.5&amp;#8211;15 GPa). When the pore fluid overpressure is released, the cracks are closed and the reduction of pore fluid pressure is stopped (Otsubo et al., 2020). After the pore fluid overpressure is reduced, the normalized pore pressure ratio &amp;#955;* (&amp;#955;* = (P&lt;sub&gt;f&lt;/sub&gt; &amp;#8211; P&lt;sub&gt;h&lt;/sub&gt;) / (P&lt;sub&gt;l&lt;/sub&gt; &amp;#8211; P&lt;sub&gt;h&lt;/sub&gt;), P&lt;sub&gt;l&lt;/sub&gt;: lithostatic pressure; P&lt;sub&gt;h&lt;/sub&gt;: hydrostatic pressure) is ~1.01 (P&lt;sub&gt;f&lt;/sub&gt; &gt; P&lt;sub&gt;l&lt;/sub&gt;). The results indicate that the pore fluid pressure constantly maintains the lithostatic pressure during the extension cracking along the foliation.&lt;/p&gt;&lt;p&gt;References: Gudmundsson (1999) Geophys. Res. Lett., 26, 115&amp;#8211;118; Jolly and Sanderson (1997) Jour. Struct. Geol., 19, 887&amp;#8211;892; Otsubo et al. (2020) Sci. Rep., 10:12281; Palazzin et al. (2016) Tectonophysics, 687, 28&amp;#8211;43; Sato et al. (2013) Tectonophysics, 588, 69&amp;#8211;81; Ujiie et al. (2018) Geophys. Res. Lett., 45, 5371&amp;#8211;5379, https://doi.org/10.1029/2018GL078374.&lt;/p&gt;