微生物矿化动力学理论与模拟

赵常; 何想; 胡冉; 刘汉龙; 谢强; 王誉泽; 吴焕然; 肖杨

doi:10.11779/CJGE202206014

微生物矿化动力学理论与模拟 English Version

赵常^1,,
何想¹,
胡冉²,
刘汉龙¹,
谢强¹,
王誉泽³,
吴焕然¹,
肖杨^1, ,

1.
重庆大学土木工程学院，重庆 400045
2.
武汉大学水资源与水电工程科学国家重点实验室，湖北武汉 430072
3.
南方科技大学海洋科学与工程系，广东深圳 518000

基金项目:

国家自然科学基金优秀青年基金项目 51922024

国家自然科学基金面上项目 52078085

重庆市自然科学基金杰出青年基金项目 cstc2019jcyjjqX0014

重庆市科技局技术创新与应用发展专项项目 cstc2019jscx-msxmX0335

详细信息

作者简介:
赵常(1997—)，男，博士研究生，主要从事微生物岩土工程方面的研究工作。E-mail: zhaochangchn@163.com

通讯作者:
肖杨, E-mail: hhuxyanson@163.com

中图分类号: TU43
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出版历程
- 收稿日期: 2021-08-05
- 网络出版日期: 2022-09-22
- 刊出日期: 2022-05-31

Kinetic theory and numerical simulation of biomineralization

1.
School of Civil Engineering, Chongqing University, Chongqing 400045, China
2.
State Key Laboratory of Water Resources and Hydropower Engineering Science, Wuhan University, Wuhan 430072, China
3.
Department of Ocean Science and Engineering, Southern University of Science and Technology, Shenzhen 518055, China

摘要

摘要: 微生物矿化技术作为一个新兴研究课题，近些年来得到了广泛关注，然而因其反应机制复杂，很难从时间和空间尺度对矿化反应过程进行定量表示。在微生物诱导碳酸盐沉淀原理的基础上，考虑细菌的吸附和筛滤效应，以及尿素水解动力学和沉淀动力学模型，对微生物矿化反应动力学理论进行了探究，并结合孔隙尺度下的微生物矿化反应试验，采用有限元软件进行多物理场耦合模拟。结果表明，细菌吸附和筛滤行为引起了细菌分布的差异性，而这种差异性进而影响了碳酸钙的沉积分布；溶液汇合初始段碳酸钙生成量横向分布不均匀，纵向分布呈增长趋势；经历40h的反应时间，渗透率可降低80%左右；当钙离子含量丰富时，碳酸钙沉淀速率受限于尿素水解速率；附着细菌量和沉淀速率的叠加效应表现为细菌被沉淀包裹的衰亡速率。本模型验证了微生物矿化沉积反应过程，丰富了微生物矿化反应理论，并有望为现场工程应用的效果预测提供参考。
- 微生物矿化 /
- 生化反应 /
- 溶质运移 /
- 细菌吸附筛滤 /
- 多物理场耦合
Abstract: The biomineralization technology that becomes an emerging research topic has attracted wide attentions in recent years. However, it is hard to quantify the reaction process of biomineralization on temporal and spatial scales due to its complicated reactive mechanisms. Based on the principle of microbially induced carbonate precipitation, considering the adsorption and straining of bacteria, adopting the kinetic model for urea hydrolysis and precipitation, a reactive kinetic theory of biomineralization is investigated. Finally, based on the biomineralization experiments on a pore scale, a finite element software is adopted for multi-physics coupling. The results show that the adsorption and straining effects lead to the differences in distribution of bacteria, and then further influence the spatial distribution of calcium carbonate. The transverse distribution of CaCO₃ content during the initial mixing stage is not uniform, while the longitudinal distribution shows an increasing trend. The permeability shows an 80% reduction after 40 hours of reaction. The rate of CaCO₃ precipitation is limited by the rate of urea hydrolysis when calcium ions are abundant. The decay rate of bacteria due to CaCO₃ encapsulation is the combined effect of amounts of adsorbed bacteria and precipitation rate. The model can reflect the evolution of biomineralization-induced precipitation during reaction process, further enrich the theory of biomineralization reaction. This study is expected to provide reference in predicting the effect for the field-scale geotechnical engineering.
- biomineralization /
- bio-chem reaction /
- solute transport /
- bacteria attachment and straining /
- multi-physics coupling

HTML全文

图 1 几何模型简化和细菌吸附与筛滤示意图

Figure 1. Schematic graph of simplified geometry model and adsorption and straining of bacteria

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图 2 微生物矿化反应模型与试验结果的对比分析

Figure 2. Comparative analysis of reactive model for biomineralization and experimental results

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图 3 细菌分布特性与浓度变化

Figure 3. Characteristics of bacteria distribution and concentration variation of bacteria

下载: 全尺寸图片幻灯片

图 4 碳酸钙含量、流速的空间分布和碳酸钙含量对孔隙率影响及渗透率变化

Figure 4. Spatial distribution of CaCO₃ content, spatial distribution of flow rate and effect of CaCO₃ content on porosity and variation of permeability

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图 5 反应速率的时空演变和细菌衰竭速率的轴向分布及其对反应速率影响

Figure 5. Spatial-temporal evolution of reaction rates and axial distribution of bacteria decay rates and its effect on reaction rates

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表 1 微生物矿化反应模型参数

Table 1 Parameters used in reaction model for biomineralization

参数	取值	参数	取值
${\theta _0}$	0.5 ^[23]	$D_{{\text{bac}}}^*$	$0.4 \times {10^{ - 5}}$ cm²/s ^[23]
$\rho _{\text{b}}^0$	1325 kg/m^3①	$D_{{\text{urea}}}^*$	$1.34 \times {10^{ - 5}}$ cm²/s ^[23]
${d_{\text{c}}}$	75 μm^①	$D_{{\text{C}}{{\text{a}}^{2 + }}}^*$	$0.79 \times {10^{ - 5}}$ cm²/s ^[34]
${v_0}$	$0.95 \times {10^{ - 4}}$ m/s ^[23]	$D_{{\text{CO}}_3^{2 - }}^*$	$9.23 \times {10^{ - 6}}$ cm²/s ^[34]
$C_{{\text{bac}}}^0$	$1 \times {10^8}$ cells/mL^①	$D_{{\text{NH}}_4^ + }^*$	$1.96 \times {10^{ - 5}}$ cm²/s ^[34]
$C_{{\text{urea}}}^0$	0.5 mol/L ^[23]	${\alpha _{\text{L}}}$	$2 \times {10^{ - 4}}$ m ^[35]
$C_{{\text{C}}{{\text{a}}^{{\text{2 + }}}}}^0$	0.5 mol/L ^[23]	${\alpha _{\text{T}}}$	$1 \times {10^{ - 4}}$ m ^[35]
${K_{{\text{att}}}}$	0.3 min^-1②	${u_{{\text{sp}}}}$	0.167mol/m³/s/OD^③
${K_{{\text{det}}}}$	0.008 min^-1②	${K_{{\text{m,urea}}}}$	0.305 mol/L ^[32]
${K_{{\text{str}}}}$	0.03 min^-1②	${K_{{\text{i,Ca}}}}$	0.6 mol/L ^[10]
${K_{{\text{lib}}}}$	0.005 min^-1②	${A_{{\text{s0}}}}$	292 m²/L ^[36]
$\beta$	-0.6	${k_{{\text{prec}}}}$	$1.0 \times {10^{ - 8}}$ mol/m²/s ^[36]
$S_{{\text{max}}}^{{\text{str}}}$	5 cm³/g $C_{{\text{bac}}}^0$ ^②	${n_{\text{p}}}$	1 ^[37]
$S_{{\text{max}}}^{{\text{str}}}$	2.5 cm³/g $C_{{\text{bac}}}^0$ ^②	${M_{{\text{CaCO}}{ _3}}}$	100.1 g/mol ^[33]
${n_{\text{v}}}$	1.5	${\rho _{{\text{CaCO}}{ _3}}}$	2710 kg/m^{3 [33]}
注：①根据文献[23]提供的数据进行预估；②参考文献[29，30]试验数据拟合而得，其值主要与多孔介质特性有关；③文献[32]换算而得，其中OD表示光密度，1 OD等于4.0×10⁸ cells/mL^[22]。

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