›› 2016, Vol. 37 ›› Issue (12): 3591-3597.doi: 10.16285/j.rsm.2016.12.031

• 数值分析 • 上一篇    下一篇

基于水平集法的非均质岩石建模及水力压裂传播特性研究

李 明1, 2,郭培军2,李 鑫1,梁 力1   

  1. 1. 东北大学 土木工程系,辽宁 沈阳 110819;2. 麦克马斯特大学 土木工程系,加拿大 哈密尔顿 L8S4L8
  • 收稿日期:2015-03-17 出版日期:2016-12-10 发布日期:2018-06-09
  • 作者简介:李明,男,1980年生,博士,讲师,主要从事岩土工程数值计算方法方面的研究工作。
  • 基金资助:

    教育部项目基本科研业务费项目(No.N110301001);国家自然科学基金资助项目(No.51474048);教育部项目博士点基金(No.20120042110001)。

Modelling method of heterogeneous rock material based on level set method and hydraulic fracture propagation features

LI Ming1, 2, GUO Pei-jun2, LI Xin1, LIANG Li1   

  1. 1. Department of Civil Engineering, Northeastern University, Shenyang, Liaoning 110819, China; 2. Department of Civil Engineering, McMaster University, Hamilton L8S4L8, Canada
  • Received:2015-03-17 Online:2016-12-10 Published:2018-06-09
  • Supported by:

    This work was supported by the Fundamental Research Funds for the Central Universities (N110301001), the National Natural Science Foundation of China (51474048) and the Doctoral Fund of Ministry of Education of China (20120042110001).

摘要: 基于水平集法的基本思想,讨论了含有不同类型包裹体分布的岩石的二维和三维有限元建模方法。对于二维有限元模型的建立,考虑了以椭圆形为例的规则包裹体的周期分布、位置及包裹体大小均随机变化的多种情况。建议了包裹体和基岩之间界面的材料特性过渡处理方法。同时给出了含有非规则形状包裹体的建模方法。对于三维有限元模型的建立,则考虑了以任意大小椭球体为例的包裹体分布情况。该种建模方法的优点是对于不同的含有任意分布的包裹体的岩石试件,均可以采用相同的有限元网格,即,材料特性的变化不受有限元网格的制约。该法缺点是增加了计算资源。最后结合基于弥散裂缝模型的水力压裂数值计算方法,模拟了含有不同包裹体分布的岩石试件的水力压裂传播特点。

关键词: 水平集法, 包裹体, 水力压裂, 弥散裂缝模型

Abstract: This paper explores a modelling approach for two-dimensional (2D) and three-dimensional (3D) heterogeneous rock sample containing different types of inclusions base on the level set method (LSM). Taking the elliptical inclusion as an example, its distribution is considered as periodical and random, and the dimension is the same or random in the 2D finite element mesh. The interface between the matrix and inclusions is described by the functions suggested in this paper. Meanwhile, the modelling method for irregular inclusions is also provided using LSM for both 2D and 3D finite element mesh. In the 3D modelling, inclusions are assumed to be spheroid and the distribution also can be periodical or random. The main advantage of this modelling method is that the finite element mesh can remain the same without considering material distributions. In other words, the features of material distribution are separated from the mesh. But it should be pointed out that this method requires high computational resource. Finally, using LSM, the smeared crack model can be used to simulate the features of hydraulic fracture propagation in the heterogeneous rock materials with the same mesh.

Key words: level set method, inclusions, hydraulic fracture, smeared crack model

中图分类号: 

  • TV 139.1

[1] 邵长跃, 潘鹏志, 赵德才, 姚天波, 苗书婷, 郁培阳, . 流量对水力压裂破裂压力和增压率的影响研究[J]. 岩土力学, 2020, 41(7): 2411-2421.
[2] 武晋文, 冯子军, 梁栋, 鲍先凯, . 单轴应力下带钻孔花岗岩注入高温蒸汽 破坏特征研究[J]. 岩土力学, 2019, 40(7): 2637-2644.
[3] 张钰彬, 黄丹. 页岩水力压裂过程的态型近场动力学模拟研究[J]. 岩土力学, 2019, 40(7): 2873-2881.
[4] 张 帆, 马 耕, 冯 丹, . 大尺寸真三轴煤岩水力压裂模拟试验 与裂缝扩展分析[J]. 岩土力学, 2019, 40(5): 1890-1897.
[5] 徐辰宇, 白 冰, 刘明泽, . 注CO2条件下花岗岩破裂特征的试验研究[J]. 岩土力学, 2019, 40(4): 1474-1482.
[6] 朱旻, 龚晓南, 高翔, 刘世明, 严佳佳, . 基于流体体积法的劈裂注浆有限元分析[J]. 岩土力学, 2019, 40(11): 4523-4532.
[7] 李 栋, 卢义玉, 荣 耀, 周东平, 郭臣业, 张尚斌, 张承客, . 基于定向水力压裂增透的大断面瓦斯 隧道快速揭煤技术[J]. 岩土力学, 2019, 40(1): 363-369.
[8] 梁天成,刘云志,付海峰,严玉忠,修乃岭,王 臻. 多级循环泵注水力压裂模拟实验研究[J]. , 2018, 39(S1): 355-361.
[9] 程 万, 蒋国盛, 周治东, 魏子俊, 张 宇, 王炳红, 赵 林, . 水平井中多条裂缝同步扩展时裂缝竞争机制[J]. 岩土力学, 2018, 39(12): 4448-4456.
[10] 姜婷婷,张建华,黄 刚, . 煤岩水力压裂裂缝扩展形态试验研究[J]. , 2018, 39(10): 3677-3684.
[11] 严成增. 模拟水压致裂的另一种二维FDEM-flow方法[J]. , 2017, 38(6): 1789-1796.
[12] 陈江湛,曹 函,孙平贺,吴晶晶, . 三轴加载下煤岩脉冲水力压裂扩缝机制研究[J]. , 2017, 38(4): 1023-1031.
[13] 马 耕,张 帆,刘 晓,冯 丹,张鹏伟,. 地应力对破裂压力和水力裂缝影响的试验研究[J]. , 2016, 37(S2): 216-222.
[14] 曾义金,郭印同,杨春和,. 压裂过程中地面和井下倾斜场的主控因素研究[J]. , 2016, 37(S1): 79-87.
[15] 王 磊,杨春和,侯振坤,郭印同,魏元龙,蒋廷学,. 预制横缝条件下水力裂缝的起裂和扩展[J]. , 2016, 37(S1): 88-94.
Viewed
Full text


Abstract

Cited

  Shared   
  Discussed   
No Suggested Reading articles found!