五莲拆离断层带动态重结晶石英颗粒的分形特征及流变参数估算

doi:10.19657/j.geoscience.1000-8527.2019.01.04

现代地质 ›› 2019, Vol. 33 ›› Issue (01): 36-44.DOI: 10.19657/j.geoscience.1000-8527.2019.01.04

五莲拆离断层带动态重结晶石英颗粒的分形特征及流变参数估算

孙煜杰¹^,²(), 倪金龙¹^,²(), 史晓晓³, 郭颖⁴

1.山东科技大学地球科学与工程学院,山东青岛 266590
2.海洋矿产资源评价与探测技术功能实验室,青岛海洋科学与技术国家实验室,山东青岛 266237
3.中国地质大学(北京) 地球科学与资源学院,北京 100083
4.临沂大学地质与古生物研究所,山东临沂 276000

收稿日期:2018-01-10 修回日期:2018-07-10 出版日期:2019-02-26 发布日期:2019-02-28
通讯作者: 倪金龙
作者简介:倪金龙,男,副教授, 1974年出生,构造地质学专业,主要从事构造地质相关教学与研究工作。Email:nijlqd@163.com。
孙煜杰,男,硕士研究生,1993年出生,构造地质学专业,主要从事构造地质学专业的学习与研究工作。Email:553834335@qq.com。
基金资助:
国家自然科学基金重点项目(41172089);山东省自然科学基金项目(ZR2018MD010);山东省自然科学基金项目(ZR2017PD001);山东省沉积成矿作用与沉积矿产重点实验室开放课题(DMSM2017018)

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

SUN Yujie¹^,²(), NI Jinlong¹^,²(), SHI Xiaoxiao³, GUO Ying⁴

1. College of Geological Sciences and Engineering, Shandong University of Science and Technology, Qingdao, Shandong 266590, China
2. Laboratory for Marine Mineral Resources, Qingdao National Laboratory for Marine Science and Technology, Qingdao, Shandong 266237, China
3. School of Earth Sciences and Resources, China University of Geosciences, Beijing 100083, China
4. Institute of Geology and Paleontology, Linyi University, Linyi, Shandong 276000,China

Received:2018-01-10 Revised:2018-07-10 Online:2019-02-26 Published:2019-02-28
Contact: NI Jinlong

摘要/Abstract

摘要：

五莲拆离断层带中石英韧性变形明显,在野外主要表现为条带状、拔丝状,显微镜下主要表现为多晶石英条带,发育亚颗粒旋转重结晶和膨凸重结晶,剪切带经历了中低温条件下的变形,变形温度为300~450 ℃。利用分形方法对石英颗粒边界的研究表明,发生动态重结晶的石英颗粒边界具有统计学意义上的自相似性和明显的分形特征,亚颗粒旋转重结晶石英颗粒分维数介于1.260~1.319之间,均值1.276;膨凸重结晶石英颗粒的分维数为1.217~1.297,均值为1.256;根据石英粒径估算出亚颗粒旋转重结晶和膨凸重结晶作用变形阶段的古差异应力,分别为7.84~21.58 MPa 和18.51~56.65 MPa;基于分维值计算的应变速率计算公式,获得亚颗粒旋转与膨凸重结晶石英颗粒的应变速率分别为10^-8.4~10^-7.7 s^-1、10^-10.5~10^-9.7 s^-1;基于石英流变率计算,亚颗粒旋转重结晶的石英应变速率介于10^-12.88~10^-11.73 s^-1之间,膨凸重结晶的为10^-13.72~10^-12.46 s^-1。本地区韧性变形的应变速率大于一般性韧性剪切带应变速率,可能与拆离断层带的快速拆离伸展作用有关。

关键词: 动态重结晶, 分形, 应变速率, 古差应力, 五莲拆离断层带

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

中图分类号:

P545
P548

孙煜杰, 倪金龙, 史晓晓, 郭颖. 五莲拆离断层带动态重结晶石英颗粒的分形特征及流变参数估算[J]. 现代地质, 2019, 33(01): 36-44.

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.

图/表 9

参考文献 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

五莲拆离断层带动态重结晶石英颗粒的分形特征及流变参数估算

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

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A/(MPa^-1·s^-1)	Q/(J·mol^-1)	n	水分	参考文献
1.10×10^-7	134 000	2.7	干	Koch^[34]
5.05×10^-6	145 000	2.6	湿	Koch等^[35]
1.58×10^-5	134 000	2.6	0.40%	Kronenberg等^[36]
6.50×10^-8	135 000	2.6	—	Paterson等^[37]

结晶类型	样品号	Δσ /MPa	温度/℃	石英流变率法/s^-1					分形法/s^-1
结晶类型	样品号	Δσ /MPa	温度/℃	Koch^[34]	Koch^[35]	Kronenberg等^[36]	Paterson等^[37]		Takahashi^[26]
亚颗粒旋转重结晶	JDWC2	7.84	400	10^-16.76	10^-14.22	10^-12.88	10^-15.34	10^-7.7
	JDWC4	14.08	400	10^-16.07	10^-13.56	10^-12.22	10^-14.68	10^-8.1
	JDWC7	21.58	400	10^-15.57	10^-13.08	10^-11.73	10^-14.20	10^-8.4
	JDW11	15.32	400	10^-15.98	10^-13.47	10^-12.12	10^-14.59	10^-8.2
	JDW13	21.04	400	10^-15.60	10^-13.11	10^-11.76	10^-14.23	10^-8.4
	JDW15	19.13	400	10^-15.71	10^-13.22	10^-11.87	10^-14.34	10^-8.4
	JDW58	13.80	400	10^-16.10	10^-13.59	10^-12.24	10^-14.70	10^-7.9
	JDW59	16.51	400	10^-15.89	10^-13.38	10^-12.04	10^-14.50	10^-8.2
	JDW63	18.75	400	10^-15.74	10^-13.24	10^-11.89	10^-14.36	10^-8.4
膨凸重结晶	JDWC2	18.51	300	10^-15.79	10^-15.22	10^-13.72	10^-16.20	10^-9.7
	JDWC4	29.57	300	10^-15.24	10^-14.69	10^-13.19	10^-15.67	10^-9.9
	JDWC7	44.07	300	10^-14.77	10^-14.24	10^-12.74	10^-15.22	10^-10.2
	JDW11	38.59	300	10^-14.93	10^-14.39	10^-12.89	10^-15.37	10^-10.1
	JDW13	56.65	300	10^-14.48	10^-13.96	10^-12.46	10^-14.94	10^-10.5
	JDW15	51.39	300	10^-14.59	10^-14.07	10^-12.57	10^-15.05	10^-10.4
	JDW58	31.48	300	10^-15.17	10^-14.62	10^-13.12	10^-15.60	10^-10.0
	JDW59	23.95	300	10^-15.49	10^-14.93	10^-13.43	10^-15.91	10^-9.9
	JDW63	36.17	300	10^-15.01	10^-14.47	10^-12.97	10^-15.44	10^-10.1

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