方解石溶蚀对岩石渗透率与弹性力学参数影响模拟研究

Numerical simulations of the impacts of CO2-induced calcite dissolution on the permeability and elastic parameters of rocks

  • 摘要:
    目的 CO2溶解于水诱发矿物反应会显著改变岩石孔隙结构,进而影响其渗流与力学性质,这对CO2地质封存工程的适宜性与长期安全性具有重要影响。
    方法 以含方解石岩样为研究对象,采用格子玻尔兹曼方法(LBM)与有限元方法(FEM)耦合模拟技术,系统分析CO2饱和溶液不同注入速率下方解石溶蚀特征,并进一步揭示岩石渗透率及弹性力学参数(包括体积模量与剪切模量)动态演化规律。
    结果和结论 (1)在低注入速率下,生成物在样本中远端富集抑制了该区域的方解石反应,导致反应仅在注入口附近发生;随着注入速率增大,溶液穿透样本能力增强,反应物被稀释,使中远端方解石均能参与反应,溶蚀位置分布更均匀。(2)方解石溶解可显著提高岩石渗透率,且提升效应随注入速率增加而增强。在低注入速率范围(30~150 m/a),由于溶质运移主要受扩散作用控制,渗透率增幅有限;当注入速率提高至750~18750 m/a时,对流作用逐渐主导溶质运移,导致岩石骨架结构差异性增大,渗透率提升更为显著。整体上,幂函数模型中渗透率与孔隙关系的拟合指数n为2.8~6.5,而Carman−Kozeny模型的n值则介于0.9~4.6。值得注意的是,2类模型的n值均呈现随注入速率增加而单调递增的趋势。通过对比分析发现,Carman−Kozeny模型在预测精度方面表现出更优的性能。(3)方解石溶蚀作用会显著降低岩石弹性力学性质。当孔隙度由0.44增至0.56时,剪切模量与体积模量均下降约20%。此外,以上参数在溶蚀初期下降速率较快,后期逐渐减缓,这一非线性特征使幂函数模型较传统线性模型更具优势。研究还发现,随着注入流速增大,岩石弹性力学性质劣化程度加剧,其中剪切模量相比体积模量对注入速率变化表现出更高敏感性。研究成果揭示了流体注入速率通过控制溶蚀空间分布进而主导岩石渗流−力学性质演化的关键机制,为评价CO2地质封存场的长期安全性提供了理论依据。

     

    Abstract:
    Objective CO2 dissolution in water tends to induce mineral reactions, thus significantly changing the pore structure of rocks and further affecting their seepage and mechanical properties. This phenomenon poses a major impact on the suitability and long-term safety of geologic CO2 sequestration engineering.
    Methods Using a simulation technology that combines the lattice Boltzmann method (LBM) and the finite element method (FEM), this study systematically investigated the calcite dissolution characteristics of calcite-bearing rock samples under varying injection rates of a saturated solution of CO2. Furthermore, the dynamic evolution patterns of the permeability and elastic parameters (bulk and shear moduli) of the rock samples were revealed.
    Results and Conclusions At lower injection rates, the chemical reaction products became enriched in the mid-to-distal part of the samples, inhibiting calcite dissolution in this part. Consequently, the chemical reactions occurred merely near the injection port. As the injection rate increased, the saturated solution of CO2 exhibited an enhanced capacity to penetrate samples and then diluted reactants. As a result, calcites in the mid-to-distal part could participate in the reactions, resulting in a more uniform spatial distribution of calcite dissolution positions across the samples. Calcite dissolution significantly enhanced the rock permeability, especially at higher injection rates. At lower injection rates (30‒150 m/a), the solute transport was primarily achieved by diffusion, leading to an insignificant increase in rock permeability. When the injection rate increased to 750‒18 750 m/a, the solute transport mechanism gradually transitioned into advection, leading to greater differences in the rock matrix structure and more pronounced permeability enhancement. For the fitting of the permeability-porosity relationship, the power function model generally exhibited fit index n ranging from 2.8 to 6.5, while the Carman-Kozeny model showed n values varying from 0.9 to 4.6. Notably, the n values of both models showed a monotonically increasing trend with an increase in the injection rate. Comparative analysis reveals that the Carman-Kozeny model outperformed the power function model in terms of prediction accuracy. Calcite dissolution significantly reduced the elastic properties of rocks. As the porosity increased from 0.44 to 0.56, both the shear and bulk moduli decreased by approximately 20%. Additionally, both moduli declined rapidly initially and then decreased slowly in the late stage. Such nonlinear evolution renders the power function model more advantageous than the traditional linear model. This study also revealed that the elastic properties of rocks experienced exacerbated degradation with an increase in the injection rate. Compared to the bulk modulus, the shear modulus was more sensitive to variations in the injection rate. This study determines the key mechanism where the fluid injection rate dominates the evolution of the permeability and mechanical properties of rocks by governing the spatial distribution of dissolution, providing a theoretical basis for assessing the long-term safety of geologic CO2 sequestration sites.

     

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