• 论文
主办单位:煤炭科学研究总院有限公司、中国煤炭学会学术期刊工作委员会
CO2−荷载耦合作用下煤体细观统计损伤本构模型及验证
  • Title

    Meso-statistical damage constitutive model and validation of coal under CO2 - load coupling

  • 作者

    王磊陈礼鹏谢广祥范浩李少波邹鹏张宇

  • Author

    WANG Lei;CHEN Lipeng;XIE Guangxiang;FAN Hao;LI Shaobo;ZOU Peng;ZHANG Yu

  • 单位

    安徽理工大学深部煤矿采动响应与灾害防控国家重点实验室

  • Organization
    State Key Laboratory of Mining Response and Disaster Prevention and Control in Deep Coal Mine, Anhui University of Science and Technology
  • 摘要

    CO2吸附会对煤体产生损伤劣化作用进而降低其稳定性,对CO2封存的长期安全性提出挑战,明确CO2劣化作用并建立本构模型至关重要。采用损伤力学理论和统计理论推导出能够综合反映CO2吸附和荷载耦合作用下煤体总损伤变量的计算公式,并重点考虑了压密段的影响,分段建立了CO2作用下煤体的细观统计损伤本构方程,明确了模型各参数的确定方法。最后通过CT扫描实验系统、MTS 816实验系统确定了本构模型参数,并采用自主研制的气−固耦合实验系统对不同CO2压力下煤体进行了单轴压缩实验,验证了模型的合理性。研究结果表明:① 基于CT扫描获取的裂隙率和运用Weibull分布理论分别定义了吸附和受载作用下的损伤变量,结合损伤理论进一步得到二者耦合作用下的总损伤变量,并建立了细观统计损伤本构模型;② 基于CT扫描技术的裂隙三维重构真实反映了CO2作用前后裂隙扩展特征,CO2压力越高,裂隙扩展越充分,煤样三维裂隙参数和损伤变量越大,所形成的空间裂隙网络越复杂;③ CO2对煤体力学性质劣化作用显著,煤体的抗压强度与弹性模量随CO2压力增加分别降低了49.78%和22.63%,CO2对煤体的溶胀效应、塑化效应和气楔效应的综合作用导致了力学参数的降低;④ 建立的CO2作用下煤体细观统计损伤模型理论曲线与单轴实验曲线具有较高的吻合度,说明损伤本构模型能够较好地反映出CO2对煤体力学特性的损伤劣化作用,体现了损伤本构模型及模型参数确定方法的合理性与适用性。

  • Abstract

    CO2 adsorption causes damage degradation to the coal body and thus reduces its stability, challenging the long-term safety of CO2 sequestration, and it is important to clarify the role of CO2 degradation and establish an ontological model. The damage mechanics theory and statistical theory were used to derive the calculation formula that can comprehensively reflect the total damage variables of the coal body under CO2 adsorption and load coupling, and focusing on the influence of the pressure-tight section, the fine statistical damage ontological equation of the coal body under the action of CO2 was established by segmentation, and the method of determining each parameter of the model was clarified. Finally, the parameters of the constitutive model were determined by CT scanning experiment system and MTS 816 experiment system, and the uniaxial compression experiments of coal body under different CO2 pressures were carried out by the self-developed gas-solid coupling experiment system to verify the rationality of the model. The results show that: ① The damage variables under adsorption and loading were defined based on the fracture rate obtained from CT scanning and by applying the Weibull distribution theory, respectively, and the total damage variable under the coupling of the two was further obtained by combining the damage theory, and a fine-scale statistical damage constitutive model was established; ② Three-dimensional reconstruction of the fracture based on CT scanning technology realistically reflects the fracture extension characteristics before and after CO2 interaction, the higher the CO2 pressure, the fuller the fracture expansion, the greater the three-dimensional fracture parameters and damage variables of the coal samples, and the more complex the spatial fracture network formed; ③ CO2 had a significant deterioration effect on the physical properties of the coal body, and the compressive strength and modulus of elasticity of the coal body were both reduced by 49.78% and 22.63%, respectively, with the increase of CO2 pressure, and the combined effect of dissolution, plasticization and air wedge effect of CO2 on the coal body led to the reduction of the mechanical parameters; ④ The theoretical curves of the fine statistical damage model of the coal body under the action of CO2 have a high degree of agreement with the uniaxial experimental curves, which indicates that the present structural model can better reflect the damage degradation effect of CO2 on the physical properties of the coal body, and embodies the reasonableness and applicability of the constitutive model and the method for determining the model parameters.

  • 关键词

    CO2地质封存本构模型损伤变量力学特性裂隙演化

  • KeyWords

    CO2 geological storage;constitutive model;damage variable;mechanical properties;fissure evolution

  • 基金项目(Foundation)
    安徽省科技重大专项资助项目(202203a07020010);深部煤矿采动响应与灾害防控国家重点实验室开放基金课题资助项目(SKLMRDPC22KF10)
  • DOI
  • 引用格式
    王磊,陈礼鹏,谢广祥,等. CO2−荷载耦合作用下煤体细观统计损伤本构模型及验证[J]. 煤炭学报,2024,49(6):2630−2642.
  • Citation
    WANG Lei,CHEN Lipeng,XIE Guangxiang,et al. Meso-statistical damage constitutive model and validation of coal under CO2 - load coupling[J]. Journal of China Coal Society,2024,49(6):2630−2642.
  • 相关文章
  • 图表

    Table1

    煤样基础物性实验测试结果
    工业分析 元素分析
    Mad Aad Vad FCad S O C H N
    4.24 4.93 4.79 86.04 0.84 4.60 82.64 2.55 1.08

    Table2

    不同CO2压力下煤样吸附前后的三维裂隙结构演化
    吸附
    状态
    不同CO2压力下三维裂隙结构
    1 MPa (CT1) 2 MPa (CT2) 3 MPa (CT3) 4 MPa (CT4) 5 MPa (CT5) 6 MPa (CT6)
    吸附前
    吸附后

    Table3

    吸附前后煤样的裂隙表征参数
    煤样编号 原始体积/cm3 吸附前 吸附后 \( \Delta \)V/cm3 \(\Delta \)e/% \(\Delta \)S/cm2
    V1/mm3 e1/% S1/cm2 V2/mm3 e2/% S2/cm2
    CT1 195.49 294.16 0.15 200.21 1 920 0.98 1 077.22 1.62 0.83 877.01
    CT2 202.08 237.23 0.12 144.93 6 600 3.26 1 172.44 6.36 3.14 1 027.51
    CT3 196.60 264.04 0.13 177.38 11 220 5.71 1 510.08 10.96 5.58 1 332.70
    CT4 197.53 208.96 0.11 122.06 18 490 9.36 1 719.89 18.28 9.25 1 597.83
    CT5 194.39 252.56 0.13 163.46 27 150 13.97 2 080.60 26.90 13.84 1 917.15
    CT6 197.06 197.74 0.10 111.69 44 430 22.55 2 134.61 44.23 22.45 2 022.92

    Table4

    煤样物理及力学参数
    初始CO2
    压力/MPa
    试样 直径/
    mm
    长度/
    mm
    波速/
    (km·s−1)
    峰值强度/
    MPa
    弹性模量/
    MPa
    0 A1 49.74 100.12 1.78 16.22 1 994.51
    A2 50.06 99.81 1.63 15.79 1 972.32
    A3 49.79 99.87 1.72 16.01 1 981.17
    平均值 16.01 1 982.69
    1 B1 49.79 99.95 1.69 15.32 1 968.35
    B2 50.20 100.20 1.75 15.19 1 947.63
    B3 49.69 100.81 1.63 14.98 1 975.95
    平均值 15.16 1 963.98
    2 C1 50.59 100.53 1.64 14.31 1 936.54
    C2 50.45 100.17 1.74 14.26 1 916.21
    C3 50.18 100.21 1.67 14.75 1 903.34
    平均值 14.44 1 918.70
    3 D1 50.23 100.71 1.71 13.24 1 888.51
    D2 49.93 100.41 1.67 13.16 1 866.31
    D3 50.40 100.20 1.75 13.36 1 856.36
    平均值 13.25 1 870.40
    4 E1 50.20 99.80 1.78 12.11 1 810.65
    E2 48.80 100.20 1.68 12.01 1 801.32
    E3 49.80 100.20 1.78 11.93 1 771.65
    平均值 12.02 1 794.54
    5 F1 50.14 100.10 1.63 10.36 1 727.81
    F2 49.80 99.80 1.72 9.93 1 680.61
    F3 49.80 99.60 1.69 10.16 1 694.87
    平均值 10.15 1 701.10
    6 G1 50.04 100.40 1.75 8.06 1 563.61
    G2 50.04 100.20 1.63 7.86 1 521.36
    G3 49.80 99.80 1.64 8.20 1 516.82
    平均值 8.04 1 533.93

    Table5

    不同CO2压力下模型参数选值
    不同CO2
    压力/MPa
    压密阶段
    占比/%
    模型参数
    第1段(ε1εp) 第2段(ε1 > εp)
    m1 F01 m2 F02
    0 30.36 2.14 3.45 61.12 6.33
    1 30.41 0.76 8.84 34.70 6.60
    2 31.91 1.01 5.38 7.77 7.62
    3 32.85 1.57 8.81 30.39 6.40
    4 35.67 1.48 10.70 5.25 7.96
    5 41.89 0.43 97.56 9.41 5.79
    6 39.60 0.56 35.23 41.21 4.02
相关问题

主办单位:煤炭科学研究总院有限公司 中国煤炭学会学术期刊工作委员会

©版权所有2015 煤炭科学研究总院有限公司 地址:北京市朝阳区和平里青年沟东路煤炭大厦 邮编:100013
京ICP备05086979号-16  技术支持:云智互联