Fractal Analysis of Dynamically Recrystallized Quartz Grains and Rheological Parameter Estimation of Wulian Detachment Fault Zone

doi:10.19657/j.geoscience.1000-8527.2019.01.04

Abstract

Abstract:

Distinct ductile deformation features are developed in the quartz grains of the Wulian detachment fault zone, which displays the ribbon or wire shape in the field and multi-grain quartz ribbons, subgrain rotation (SR) and bulging recrystallization (BLG) under the microscope. This indicates that the detachment fault zone was developed under medium-low temperatures, approximately 300 ℃ to 450 ℃. Fractal analysis shows that the boundaries of both SR and BLG recrystallized grains are statistically self-similar, with the fractal dimension values of 1.260-1.319 (avg. 1.276) and 1.217-1.297 (avg. 1.256), respectively. The paleo-stress values estimated from the SR and BLG recrystallized quartz grains are 7.84-21.58 MPa and 18.51-56.65 MPa, respectively. The strain rate results of ductile deformation by SR and BLG are different from each other. Values based on the fractal analysis are 10^-8.4-10^-7.7 s^-1 and 10^-10.5-10^-9.7 s^-1. According to the quartz rheology law method, the SR and BLG values are estimated to be 10^-12.88-10^-11.73 s^-1 and 10^-13.72-10^-12.46 s^-1. The strain rate results deduced from the method is slightly higher than those of most general ductile zones, which may be related to a rapid extensional detachment of the Wulian fault zone.

Key words: dynamic recrystallization, fractal, strain rate, paleo-stress, Wulian detachment fault zone

CLC Number:

P545
P548

SUN Yujie, NI Jinlong, SHI Xiaoxiao, GUO Ying. Fractal Analysis of Dynamically Recrystallized Quartz Grains and Rheological Parameter Estimation of Wulian Detachment Fault Zone[J]. Geoscience, 2019, 33(01): 36-44.

Figures/Tables 9

References 38

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结晶类型	样品号	粒径分布 /μm	周长分布 /μm	平均粒径 /μm	分维数D	相关系数R	基于分维值的应变速率/s^-1
亚颗粒旋转重结晶	JDWC2	208.37~336.63	656.9~1 246.7	267.92	1.319	0.95	10^-7.7
	JDWC4	110.56~153.48	344.6~523.8	127.70	1.281	0.96	10^-8.1
	JDWC7	60.77~93.73	219.8~373.2	74.38	1.260	0.96	10^-8.4
	JDW11	85.93~135.87	285.1~573.1	114.75	1.274	0.98	10^-8.2
	JDW13	47.87~93.73	147.9~361.4	76.80	1.258	0.99	10^-8.4
	JDW15	65.80~106.45	214.0~429.4	86.64	1.253	0.96	10^-8.4
	JDW58	88.85~157.17	318.7~691.4	130.92	1.303	0.97	10^-7.9
	JDW59	89.56~118.35	292.3~457.0	104.35	1.275	0.87	10^-8.2
	JDW63	77.36~98.37	324.2~475.1	88.86	1.260	0.83	10^-8.4
膨凸重结晶	JDWC2	59.71~125.14	161.2~428.9	90.29	1.297	0.96	10^-9.7
	JDWC4	37.42~73.99	109.5~273.7	49.92	1.274	0.95	10^-9.9
	JDWC7	22.57~45.14	72.8~180.9	30.12	1.244	0.96	10^-10.2
	JDW11	25.23~46.52	71.0~160.1	35.63	1.255	0.95	10^-10.1
	JDW13	15.96~27.64	42.8~91.5	21.92	1.217	0.93	10^-10.5
	JDW15	19.54~35.68	50.8~128.3	24.79	1.226	0.93	10^-10.4
	JDW58	37.42~54.12	110.5~200.3	46.11	1.264	0.94	10^-10.0
	JDW59	46.52~85.19	126.0~284.6	65.18	1.274	0.95	10^-9.9
	JDW63	29.85~50.46	87.1~175.5	38.68	1.257	0.97	10^-10.1

结晶类型	样品号	粒径分布 /μm	周长分布 /μm	平均粒径 /μm	分维数D	相关系数R	基于分维值的应变速率/s^-1
亚颗粒旋转重结晶	JDWC2	208.37~336.63	656.9~1 246.7	267.92	1.319	0.95	10^-7.7
	JDWC4	110.56~153.48	344.6~523.8	127.70	1.281	0.96	10^-8.1
	JDWC7	60.77~93.73	219.8~373.2	74.38	1.260	0.96	10^-8.4
	JDW11	85.93~135.87	285.1~573.1	114.75	1.274	0.98	10^-8.2
	JDW13	47.87~93.73	147.9~361.4	76.80	1.258	0.99	10^-8.4
	JDW15	65.80~106.45	214.0~429.4	86.64	1.253	0.96	10^-8.4
	JDW58	88.85~157.17	318.7~691.4	130.92	1.303	0.97	10^-7.9
	JDW59	89.56~118.35	292.3~457.0	104.35	1.275	0.87	10^-8.2
	JDW63	77.36~98.37	324.2~475.1	88.86	1.260	0.83	10^-8.4
膨凸重结晶	JDWC2	59.71~125.14	161.2~428.9	90.29	1.297	0.96	10^-9.7
	JDWC4	37.42~73.99	109.5~273.7	49.92	1.274	0.95	10^-9.9
	JDWC7	22.57~45.14	72.8~180.9	30.12	1.244	0.96	10^-10.2
	JDW11	25.23~46.52	71.0~160.1	35.63	1.255	0.95	10^-10.1
	JDW13	15.96~27.64	42.8~91.5	21.92	1.217	0.93	10^-10.5
	JDW15	19.54~35.68	50.8~128.3	24.79	1.226	0.93	10^-10.4
	JDW58	37.42~54.12	110.5~200.3	46.11	1.264	0.94	10^-10.0
	JDW59	46.52~85.19	126.0~284.6	65.18	1.274	0.95	10^-9.9
	JDW63	29.85~50.46	87.1~175.5	38.68	1.257	0.97	10^-10.1

b/(μm·MPa^-^R)	R	参考文献
1.45×10⁴	-1.47	Twiss^[31,32]
4.07×10³	-1.40	Mercier等^[33]
4.9×10²	-0.59	Koch^[34]
3 631	-1.26	Stipp等^[30]

b/(μm·MPa^-^R)	R	参考文献
1.45×10⁴	-1.47	Twiss^[31,32]
4.07×10³	-1.40	Mercier等^[33]
4.9×10²	-0.59	Koch^[34]
3 631	-1.26	Stipp等^[30]

结晶类型	样品号	平均粒径 /μm	应力/MPa
结晶类型	样品号	平均粒径 /μm	Twiss^[31,32]	Mercier 等^[33]	Koch^[34]	Stipp 等^[30]
亚颗粒旋转重结晶	JDWC-2	267.92	15.09	6.90	2.77	7.84
	JDWC-4	127.70	24.98	11.68	9.70	14.08
	JDWC-7	74.38	36.07	17.14	24.19	21.58
	JDW11	114.75	26.86	12.60	11.63	15.32
	JDW13	76.80	35.29	16.76	22.92	21.04
	JDW15	86.64	32.52	15.38	18.69	19.13
	JDW58	130.92	24.56	11.47	9.30	13.80
	JDW59	104.35	28.65	13.48	13.65	16.51
	JDW63	88.86	31.96	15.11	17.91	18.75
膨凸重结晶	JDWC-2	90.29	31.62	14.94	17.43	18.51
	JDWC-4	49.92	47.31	22.75	47.47	29.57
	JDWC-7	30.12	66.69	32.57	111.46	44.07
	JDW11	35.63	59.50	28.91	83.93	38.59
	JDW13	21.92	82.80	40.82	190.78	56.65
	JDW15	24.79	76.13	37.40	154.87	51.39
	JDW58	46.11	49.93	24.07	54.28	31.48
	JDW59	65.18	39.46	18.83	30.24	23.95
	JDW63	38.68	56.27	27.27	73.05	36.17