NUMERICAL MODELING FOR COUPLED THERMO-HYDRO-MECHANICAL AND CHEMICAL PROCESSES (THMC) OF GEOLOGICAL MEDIA——INTERNATIONAL AND CHINESE EXPERIENCES

The coupled thermo-hydro-mechanical and chemical (THMC) processes of stress/deformation,fluid flow,temperature and geochemical reactions of the geological media,namely fractured rocks and soils,play an important role in design,construction,operation and environmental impact assessments of rock and soil engineering works such as underground nuclear waste repositories,oil/gas production and storage,geothermal energy extraction,landslides and slope stability,hydropower and water conservancy complexes,etc. This paper presents an overview of the international and Chinese experiences in numerical modeling of the coupled THMC processes for both the state-of-the-knowledge,remaining challenges and possible future prospects.

A fully coupled thermo-hydro-mechanical model for unsaturated porous media

In examining potential host rocks for such purposes as the disposal of high-level radioactive wastes,it is important to understand the coupled thermo-hydro-mechanical（THM） behavior of a porous medium.A rigorous and fully unified coupled thermo-hydro-mechanical model for unsaturated porous media is required to simulate the complex coupling mechanisms involved.Based on modified Darcy＇s and Fourier＇s laws,equations of mechanical equilibrium,mass conservation and energy conservation are derived by introducing void ratio and volumetric liquid water content into the model.The newly derived model takes into account the effects of temperature on the dynamic viscosity of liquid water and void ratio,the influence of liquid flow on temperature gradient（thermo-osmosis）,the influence on mass and heat conservation equations,and the influence of heat flow on water pressure gradient and thermal convection.The new coupled THM constitutive model is constructed by a finite element program and is used to simulate the coupled behavior of a tunnel during excavation,ventilation and concrete lining stages.Oil and gas engineering,underground disposal of nuclear waste and tunnel engineering may be benefited from the development of the new model.

Coupled thermo-hydro-mechanical simulation of CO2 enhanced gas recovery with an extended equation of state module for TOUGH2MP-FLAC3D

As one of the most important ways to reduce the greenhouse gas emission,carbon dioxide（CO2）enhanced gas recovery（CO2-EGR） is attractive since the gas recovery can be enhanced simultaneously with CO2sequestration.Based on the existing equation of state（EOS） module of TOUGH2 MP,extEOS7C is developed to calculate the phase partition of H2O-CO2-CH4-NaCl mixtures accurately with consideration of dissolved NaCI and brine properties at high pressure and temperature conditions.Verifications show that it can be applied up to the pressure of 100 MPa and temperature of 150℃.The module was implemented in the linked simulator TOUGH2MP-FLAC3 D for the coupled hydro-mechanical simulations.A simplified three-dimensional（3D）1/4 model（2.2 km×1 km×1 km） which consists of the whole reservoir,caprock and baserock was generated based on the geological conditions of a gas field in the North German Basin.The simulation results show that,under an injection rate of 200,000 t/yr and production rate of 200,000 sm3/d,CO2breakthrough occurred in the case with the initial reservoir pressure of 5 MPa but did not occur in the case of 42 MPa.Under low pressure conditions,the pressure driven horizontal transport is the dominant process;while under high pressure conditions,the density driven vertical flow is dominant.Under the considered conditions,the CO2-EGR caused only small pressure changes.The largest pore pressure increase（2 MPa） and uplift（7 mm） occurred at the caprock bottom induced by only CO2injection.The caprock had still the primary stress state and its integrity was not affected.The formation water salinity and temperature variations of ±20℃ had small influences on the CO2-EGR process.In order to slow down the breakthrough,it is suggested that CO2-EGR should be carried out before the reservoir pressure drops below the critical pressure of CO2.

Formulation of thermo-hydro-mechanical coupling behavior of unsaturated soils based on hybrid mixture theory

Thermo-Hydro-Mechanical （THM） coupling pro- cesses in unsaturated soils are very important in both theoretical researches and engineering applications. A coupled formulation based on hybrid mixture theory is derived to model the THM coupling behavior of unsaturated soils. The free-energy and dissipative functions for different phases are derived from Taylor＇s series expansions. Constitutive relations for THM coupled behaviors of unsaturated soils, which include deformation, entropy change, fluid flow, heat conduction, and dynamic compatibility conditions on the interfaces, are then established. The number of field equations is shown to be equal to the number of unknown variables; thus, a closure of this coupling problem is established. In addition to modifications of the physical conservation equations with coupling effect terms, the constitutive equations, which consider the coupling between elastoplastic deformation of the soil skeleton, fluid flow, and heat transfer, are also derived.

The Efficiency of Multi-Range Hydro-Mechanical Stepless Transmission

Aim To determine efficiency of multi-range hydro-mechanical stepless transmis- sion(HMT).Methods Ageneral model of HMT was of HMT was structured.On the basis of power flow analysis, the efficiency was obtained,Results efficiency of multi-range HMT changes continuously with output speed in speed range and is higher than the highest point of the hydraulic efficiency,The volumetric efficiency can potentially result in the speed fluctuation, which can be reduced or eliminated through controlling the ratio of the displacements ofhydraulic unity properly or changing the point of range exchanging .And the mechanical- constant output torque or different output torque under the condition of constant pressure when the transmission works in different parts of a range,Conclusion The multi-range HMT is an ideal stepless transmission with high efficiency.

Parametric study of thermo-hydro-mechanical response of claystone with consideration of steel corrosion

In this paper,the thermo-hydro-mechanical(THM)response of claystone is studied via a series of parametric studies,considering the evolution of mechanical properties and deformation behavior of corroded steel.The numerical simulations are performed by using a coupled THM finite element code and two different constitutive models:a visco-elastoplastic model for geological formation and a von Mises type model for steel liner.The mechanical properties and deformation behavior of corroded steel are described in a conceptual model.Finally,a disposal tunnel supported by a steel liner is studied and a series of parametric studies is defined to demonstrate the corrosion effects of steel liner on the THM response of the claystone.The comparison of different numerical calculations exhibits that the volumetric expansion related to corrosion products has an important impact on the stress and displacement fields in the claystone surrounding the disposal tunnel.However,the evolutions of temperature and liquid pressure in the claystone are essentially controlled by its THM properties and independent of the steel corrosion.

Numerical analysis of thermal impact on hydro-mechanical properties of clay

As is known, high-level radioactive waste （HLW） is commonly heat-emitting. Heat output from HLWwilldissipate through the surrounding rocks and induce complex thermo-hydro-mechanical-chemical（THMC） processes. In highly consolidated clayey rocks, thermal effects are particularly significantbecause of their very low permeability and water-saturated state. Thermal impact on the integrity of thegeological barriers is of most importance with regard to the long-term safety of repositories. This studyfocuses on numerical analysis of thermal effects on hydro-mechanical properties of clayey rock using acoupled thermo-mechanical multiphase flow （TH2M） model which is implemented in the finite elementprogramme OpenGeoSys （OGS）. The material properties of the numerical model are characterised by atransversal isotropic elastic model based on Hooke＇s law, a non-isothermal multiphase flow model basedon van Genuchten function and Darcy＇s law, and a transversal isotropic heat transport model based onFourier＇s law. In the numerical approaches, special attention has been paid to the thermal expansion ofthree different phases： gas, fluid and solid, which could induce changes in pore pressure and porosity.Furthermore, the strong swelling and shrinkage behaviours of clayey material are also considered in thepresent model. The model has been applied to simulate a laboratory heating experiment on claystone.The numerical model gives a satisfactory representation of the observed material behaviour in thelaboratory experiment. The comparison of the calculated results with the laboratory findings verifies thatthe simulation with the present numerical model could provide a deeper understanding of the observedeffects. 2014 Institute of Rock and Soil Mechanics, Chinese Academy of Sciences. Production and hosting byElsevier B.V. All rights reserved.

A pseudo-coupled numerical approach for stability analysis of frozen soil slopes based on finite element limit analysis method

To simplify the stability analysis of frozen soil slope, a pseudo-coupled numerical approach is developed. In this approach, the coupled heat transfer and water flow in frozen soils are simulated first, and based on the computed thermal-hydro field, the stability of frozen soil slope is evaluated. Although the shear strength for frozen soil is very complicated and is usually represented by a nonlinear MC failure criterion, a simple linear MC yield criterion is utilized. In this method, the internal friction angle is expressed as a function of volumetric ice content and the cohesion is fitted as a simple bilinear expression of Tand volumetric water content. To assess slope stability, the limit analysis is employed in conjunction with the recently developed a-section search algorithm. A frozen soil slope example is used to examine the proposed pseudo-coupled numerical approach, and numerical studies validate its effectiveness. Based on numerical results, it is seen that slope stability may be remarkably influenced by warming air （or grotmd surface） temperature. With increasing ground surface temperature, slope stability indicated by FOS may reduce to 1.0, implying that wanning air temperature could be a trigger of frozen soil slope failure.

黏土岩温度-渗流-应力耦合特性试验与本构模型研究进展

高放废物处置库、垃圾填埋场等工程中常常涉及到温度场(T)、渗流场(H)和应力场(M)的耦合作用的问题。从试验和理论模型两个角度综述国内外黏土岩温度-渗流-应力耦合特性的研究进展,主要包括其传热特性、温度影响下的渗流特性、变形、强度、蠕变特性。在此基础上,重点分析了黏土岩水-热迁移模型以及热-力耦合本构模型的适应性。基于上述认识,通过试验研究了比利时Boom clay在温度作用下的强度、渗透性、蠕变性等特征。结果表明:随着温度升高,Boom clay的强度有所降低,渗透性显著增强,蠕变速率明显加快。提出了适用于Boom clay的THM耦合弹塑性损伤模型,计算结果验证了模型能合理反映温度的影响。最后,探讨了黏土岩THM耦合机理研究的不足和今后的研究方向。

双重介质温度场-渗流场-应力场耦合模型及三维数值研究

在建立双重介质温度场-渗流场-应力场耦合微分控制方程基础上,提出研究裂隙岩体温度场-渗流场-应力场耦合的双重介质模型,对不同介质分别建立以节点位移、水压力和温度为求解量的三维有限元格式,提出该数学模型的求解策略与方法,开发双重介质流固热耦合分析的计算程序,通过模拟地下2200m的高温岩体地热开发系统的算例发现,注入井附近温度场-渗流场-应力场三场耦合作用十分明显的,主干裂隙对渗流场、温度场和应力场的整体分布具显著影响。与渗流场-应力场耦合,应力场-温度场耦合进行比较,探讨各场耦合效应的强弱,可以得出,在一定空间、时间域内,往往存在着起主导控制作用的双场耦合系统,变温条件下温度场对裂隙渗流场具显著耦合作用,从而论证了存在温度变化梯度的岩土工程中进行三场耦合分析的重要性。

裂隙岩体水-冰相变及低温温度场-渗流场-应力场耦合研究

岩体冻融损伤涉及低温环境下温度场、渗流场和应力场的耦合问题。基于水–冰相变理论和能量守恒原理,得出冻结率表达式。运用双重孔隙介质模型理论,根据质量守恒定律、能量守恒定律及静力平衡原理,得出冻结条件下裂隙岩体的温度场–渗流场–应力场(THM)耦合控制方程。最后,通过1个含裂隙隧道低温THM耦合算例,将围岩当作岩块与裂隙介质组成的系统,采用等效热膨胀系数法对夹冰(含水)裂隙的冻胀效应进行模拟,并考虑冻结过程对岩体渗透系数的影响,研究低温THM耦合条件下的温度场、应力场及孔隙压力等的分布规律。

热-流-固耦合渗流的数学模型研究

本文阐述热-流-固耦合渗流的数学模型。基于线性热弹性理论,介绍了饱和多孔材料多场耦合的完整方程组,包括渗流方程、本构方程和能量方程。并讨论了对它的求解内容及其在相关工程技术领域的应用。

3D thermo-hydro-mechanical-migratory coupling model and FEM analyses for dual-porosity medium

One kind of 3D coupled thermo-hydro-mechanical-migratory model for saturated-unsaturated dual-porosity medium was established,in which the stress field and the temperature field are single,but the seepage field and the concentration field are double,and the influences of sets,spaces,angles,continuity ratios,stiffness of fractures on the constitutive relationship of the medium can be considered.The relative three-dimensional program of finite element method was also developed.By comparing with the existing computation example,reliability of the model and the program were verified.Taking a hypothetical nuclear waste repository as a calculation example,the radioactive nuclide leak was simulated numerically with both the rock mass and the buffer being unsaturated media,and the temperatures,negative pore pressures,flow velocities,nuclide concentrations and normal stresses in the rock mass were investigated.The results showed that the temperatures,negative pore pressures and nuclide concentrations in the buffer all present nonlinear changes and distributions that even though the saturation degree in porosity is only about 1/9 of that in fracture,the flow velocity of underground water in fracture is about 6 times of that in porosity because the permeability coefficient of fracture is almost four orders higher than that of porosity,and that the regions of stress concentration occur at the vicinity of two sides of the boundary between buffer and disposal pit wall.

非饱和岩石温度-渗流-应力耦合模型研究

以研究岩石孔隙比和含水量两个基本量为出发点,考虑温度对渗流黏滞系数和孔隙比的影响、温度梯度引起的流体流动以及流体流动引起的热对流的影响,应用修正的Darcy定律、Fourier定律等,推导出非饱和岩石在温度–渗流–应力耦合作用下的平衡方程、流体物质守恒方程、气体质量守恒方程和能量方程。并将建立的多场耦合力学模型应用于一泥岩竖井的开挖、支护过程,重点分析围岩和衬砌内温度场、渗流场的变化规律,以及泥岩竖井在开挖、支护和运行过程中饱和度的变化规律。研究成果对我国地下石油、核废料储存以及高寒地区的隧道工程设计与施工具有重要的指导意义。

低温冻融条件下岩体温度-渗流-应力-损伤(THMD)耦合模型研究及其在寒区隧道中的应用

寒区隧道的围岩冻胀问题涉及到岩体温度场、渗流场、应力场以及冻融损伤相互作用的多场耦合问题。在THDM耦合机制分析基础上,基于连续介质力学、热力学、渗流力学、损伤力学以及分凝势理论,建立低温冻融条件下岩体THMD耦合模型。该模型不仅考虑体积应变对岩体温度场和渗流场的影响,温度梯度和渗透压力对岩体应力场的影响,还根据寒区工程实际,考虑冻胀压力和冻融循环对岩体劣化损伤的影响。数值仿真某寒区管道工程的冻胀过程,与现场的实测结果对比表明:该模型能很好地反映岩土体由于负温所产生的冻胀现象。在此基础上,分析极端气候条件下嘎隆拉隧道围岩冻胀力的变化规律,并对隧道在经历不同冻融循环次数后的变形和受力特征进行探讨。研究结果表明:极端气候条件下嘎隆拉隧道围岩的最大冻胀力达到1.6 MPa,冻融循环对隧道衬砌受力影响较大。

基于热-流-固耦合模型的石油钻井施工过程数值分析

岩土介质多场耦合问题需考虑诸多因素,温度、渗流及应力之间的耦合关系复杂,试验条件不易控制,且难以实现,因此,辅以数值模拟手段具有重要的意义。基于混合物理论,推导出岩土介质温度、渗流和应力耦合的数学模型及其控制方程,提出该数学模型的求解方法,以MATLAB语言为平台,将Abaqus程序作为一个模块嵌入迭代算法程序中,编制了多场耦合分析程序,并给出了2个典型算例验证该方法的有效性和实用性。然后,将建立的多场耦合模型和计算程序应用于石油钻井施工过程的模拟,重点分析井壁围岩内温度场、渗流场和应力场的变化规律,以及钻井液温度的变化对井壁稳定性的影响。研究成果对我国地下石油、核废料储存等工程设计和施工具有一定的指导意义。

考虑热-水-力耦合效应多孔弹性地基的动力响应

通过对Biot波动方程的修正,得到考虑热-水-力学耦合效应的多孔弹性介质动力响应的控制方程,研究了简谐均布荷载作用下地基土体的热-水-力耦合动力响应问题。利用Fourier变换技术,得到地基中的应力、位移和孔隙水压力积分形式的解答。利用Fourier逆变换得到数值结果,分析了热-水-力学耦合条件下地基土体中温度增量、应力、位移和孔隙水压力响应的分布,并讨论了热源输入的影响,结果表明:应力、位移和孔隙水压力随?T的增大而有一定的减小。

热-流-固耦合建模过程

热-流-固耦合作用是存在高度非线性的复杂耦合作用。有关这三场的耦合作用研究在地石油工程、热资源开发、地下核废料存储安全、采矿工程等很多领域有着非常重要的应用价值。由于研究对象的不同,热流固耦合模型的形式存在差异,建立符合实际问题的三场耦合模型十分困难,文中在国内外学者对三场耦合模型理论研究的进展状况的基础上,通过一个例子,介绍了用adina建立模型的过程。

不连续面在双重介质热-水-力三维耦合分析中的有限元数值实现

在建立双重介质热-水-力耦合微分控制方程的基础上,提出了裂隙岩体热-水-力耦合的三维力学模型,对不同介质分别建立以节点位移、水压力和温度为求解量的三维有限元格式,开发了双重介质热-水-力耦合分析的的三维有限元计算程序,在有限元数值分析中不连续面应力计算采用等厚度空间8节点节理单元进行离散,而不连续面渗流和热能计算时采用平面4节点等参单元进行离散,这样保证了不同介质之间的水量、热量交换和两类模型接触处节点水头、温度和位移相等。通过高温岩体地热开发算例,揭示了在热-水-力耦合作用下不连续面处于低应力区,其张开度随运行时间的延长呈非线性增加,非稳定渗流阶段不连续面显著地控制着渗流场的整体分布,它的水头远高于拟连续岩体介质的水头,而进入稳定渗流阶段不连续面的控渗作用不明显,由于高温岩体地热开发系统中存在大规模的热量补给,不连续面对岩体温度场分布的影响并不显著。

地下热-水动力-力学耦合过程数值模拟:以CO_2地质储存为例

在地下流动系统问题的研究中,热-水动力-力学(THM)耦合过程是研究的热点问题。在地下多相非等温数值模拟软件TOUGH2的框架内,基于Biot固结理论和摩尔-库仑破坏判定准则,建立了THM耦合模型;采用积分有限差和有限元联合的空间离散方法,开发了THM模拟器TOUGH2Biot。该模拟器中热和水动力过程是全耦合,力学过程是部分耦合。通过与解析解的对比,验证了其正确性。基于鄂尔多斯盆地CCS示范工程,采用TOUGH2Biot研究了CO2注入地层后的THM响应。结果显示CO2的注入引起流体压力急剧增加,地层有效应力减小,地表隆起,隆起大小在几十个厘米,同时孔渗增加,利于CO2注入引起的压力上升向外消散。CO2注入最有可能导致剪切破坏的位置位于最大速率注入点上部盖层,其次为靠近地表的位置。