首页|速率-状态依赖摩擦定律引入连续-非连续方法的检验及断层倾角的影响

速率-状态依赖摩擦定律引入连续-非连续方法的检验及断层倾角的影响

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断层黏滑是一种摩擦失稳,能够诱发地震、矿震等诸多地质灾害.目前,断层黏滑(包括断层亚失稳)研究,主要集中在实验方面和基于连续方法或非连续方法的数值模拟方面.为了弥补连续方法和非连续方法各自的不足,一些兼具二者优势的连续-非连续方法应运而生.为了检验引入速率-状态依赖摩擦定律的 自主开发的拉格朗 日元与离散元耦合连续-非连续方法的正确性并探究断层倾角对断层黏滑的影响,首先,模拟了滑块-底板模型的滑动-保持-滑动实验;然后,模拟了双轴压缩岩样的断层倾角的影响,重点考察了断层黏滑过程中亚失稳阶段摩擦系数的演化规律.研究发现,随着断层倾角的增大,岩样上表面平均差应力的绝对值-时步数目曲线的锯齿形由规则向不规则变化;初次黏滑发生时的时步数目、平均应力降、平均黏滑周期和平均峰值应力均减小.当断层处于黏滑前阶段时,断层面各处的摩擦系数和剪应力相差较小.当断层进入亚失稳阶段后,断层面上摩擦系数的平均值下降速度加快,这可作为断层进入亚失稳阶段的特征之一.引入速率-状态依赖摩擦定律后的拉格朗 日元与离散元耦合连续-非连续方法的断层黏滑结果能与现有结果(例如,断层黏滑实验结果)基本吻合,但更加丰富,这在一定程度上体现了数值模拟研究的优越性.
Check the correctness of the hybrid Lagrangian-discrete element method with rate and state dependent friction law and study on influence of fault dip angle on fault stick-slip
Fault stick-slip is a kind of frictional instabilities,which can induce many geohazards,such as earthquakes and mine earthquakes.At present,the research on fault stick-slip(including fault meta-instability)is mainly focused on experiments and numerical simulation based on continuum or discontinuum methods.To overcome shortcomings of continuum and discontinuum methods,some continuum-discontinuum methods combining advantages of both have been developed.To check the correctness of the hybrid Lagrangian-discrete element method,in which the rate and state dependent friction law was introduced,and to explore the influence of fault dip angle on fault stick-slip,firstly,the slip-hold-slip experiment of the sliding block-floor model was simulated.Then,the influence of fault dip angle of the biaxial compressive specimens was studied,and evolution of friction coefficient at the meta-instability stage of the fault stick-slip process was mainly focused.The following results were found.As the dip angle of the fault is increased,the regular zigzag shape of the relation between the absolute value of the averaged differential stress at the upper surface of the rock specimen and timestep becomes irregular;the number of timesteps for the first stick-slip,the averaged stress drop,the averaged stick-slip period and the averaged peak stress decrease.Before stick-slip stage,the friction coefficient and shear stress at each part of the fault surface are less different.When the fault enters the meta-instability stage,the averaged value of friction coefficient on the fault surface decreases faster,which can be regarded as one of the characteristics of the fault entering the meta-instability stage.After the rate and state dependent friction law is introduced,the fault stick-slip results of the hybrid Lagrangian-discrete element method is in a good agreement with the existing results(such as experimental results),but more abundant,reflecting the superiority of numerical simulation to a certain extent.

FaultFault stick-slipFault dip angleRate and state dependent friction lawMeta-instabilityNumerical simulation

王学滨、张钦杰、李继翔、白雪元、陈双印

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辽宁工程技术大学计算力学研究所,阜新 123000

辽宁工程技术大学力学与工程学院,阜新 123000

断层 黏滑 断层倾角 速率-状态依赖摩擦定律 亚失稳 数值模拟

国家自然科学基金项目地震动力学国家重点实验室开放基金课题

52074142LED2019B07

2024

地球物理学进展
中国科学院地质与地球物理研究所 中国地球物理学会

地球物理学进展

CSTPCD北大核心
影响因子:1.761
ISSN:1004-2903
年,卷(期):2024.39(1)
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