## Unsaturated Porous(不饱和多孔)研究综述

Unsaturated Porous 不饱和多孔 - Based on the framework of elastic theory for unsaturated porous medium and considering the effects of non-isothermal conditions, this paper studies the influences of thermophysical properties on the attenuation characteristics of thermoelastic body waves in unsaturated soil.^{[1]}The freezing/thawing behavior and the frost-resistance of unsaturated porous materials are quite different from those in water saturated condition.

^{[2]}The impacts of climate change on unsaturated porous media have been investigated through the coupled thermo-hydro-mechanical analysis by leveraging a discrete fracture model.

^{[3]}To evaluate and minimize the effect of these confounding factors on the interpretation of the results of the Rn deficit technique, a Matlab® based multi-layer model of 222Rn production-partition-diffusion in unsaturated porous media (1D_RnDPM: One-Dimensional 222Rn Diffusion and Partition Model) has been developed and is freely available as Supplementary Material in this work.

^{[4]}Transported chemical reactions in unsaturated porous media are relevant to environmental and industrial applications.

^{[5]}Aiming at this problem, this paper takes unsaturated elastic half-space as the research object, firstly based on continuum mechanics and porous media theory, and then considers the basic equations of mass conservation equation, momentum conservation equation, constitutive equation and effective stress principle of each phase in unsaturated porous media, and finally, we established a dynamic control equation in which skeleton displacement, pore water pressure and pore gas pressure are basically unknown quantities.

^{[6]}The data presented herein show that using a clogged or unsaturated porous disc will require a drained shear displacement rate that is one to two orders of magnitude slower than required, e.

^{[7]}Our driving application is multiphase flow in saturated-unsaturated porous media in the context of radioactive waste storage.

^{[8]}: A new model for predicting the hydraulic conductivity of unsaturated porous media, Water Resour.

^{[9]}The energy contribution due to the fracturing process is included in Coussy’s thermodynamic framework for unsaturated porous media.

^{[10]}The objective of this research was to investigate the impact of multiple-component PFAS solutions on the retention of PFOS during transport in unsaturated porous media.

^{[11]}An analytical method is developed for the coupling control equations of heat transfer, moisture transfer and deformation in unsaturated porous media, basing on the linear theory of wet and thermal elasticity.

^{[12]}The biological activity, represented with a non linear system of ordinary differential equations (ODE), takes place in an unsaturated porous medium represented by Darcy law.

^{[13]}This new model is expected to provide an improved quantitative evaluation of the electrical conductivity of unsaturated porous materials.

^{[14]}Modelling fluid flow in an unsaturated porous medium is a complex problem with many practical applications.

^{[15]}Thanks to this concept, the proposed approach is capable of describing the nature of flow in unsaturated porous media at the microscale level.

^{[16]}Heat and mass transfer in a freezing unsaturated porous medium.

^{[17]}The results showed that HA exhibited a stronger inhibition effect on Cu2+ transport, and a higher IS enhanced the mobility of Cu2+ in an unsaturated porous medium in the presence of HA@NPs.

^{[18]}We present new random walk methods to solve flow and transport problems in saturated/unsaturated porous media, including coupled flow and transport processes in soils, heterogeneous systems modeled through random hydraulic conductivity and recharge fields, processes at the field and regional scales.

^{[19]}Current understanding of perﬂuorooctanoic acid (PFOA) transport in unsaturated porous media is still limited with significant variability in solution chemistry.

^{[20]}Significance Here, we demonstrate a previously unreported mechanism of bacterial spreading in unsaturated porous media, which can inform understanding of soil contamination by pathogens, soft rot in plants, and potentially many pulmonary diseases.

^{[21]}The hydraulic model is based on two-phase fluid flow through unsaturated porous media.

^{[22]}Most infiltration and water retention models for unsaturated porous media proposed in the literature often are based on simplified representations of the pore system and use the matric head as the main state variable.

^{[23]}This paper extends a one-dimensional model of adsorbed contaminants in saturated porous media to establish a three-dimensional case suitable for unsaturated porous media.

^{[24]}'e prediction of fluid movement in unsaturated porous media is important in many branches of science and engineering such as soil sciences, agricultural engineering, environmental engineering, and ground water hydrology.

^{[25]}Per- and poly-fluoroalkyl substances (PFAS) adsorb at air-water interfaces during transport in unsaturated porous media.

^{[26]}Furthermore, we have developed a two-dimensional model coupling the Richards equation for moisture transport in unsaturated porous media with evaporative mass loss and heat transfer.

^{[27]}This paper proposes a Generalized Interpolation Material Point Method (GIMP) for modelling coupled thermo-hydro-mechanical (THM) processes within unsaturated porous media.

^{[28]}The processes impacting solute transport through unsaturated porous media have been receiving renewed attention due to their relevance to the transport of emerging contaminants.

^{[29]}(3) The heat and mass transfer theory in the unsaturated porous medium was used to separate liquid water flux drove by the temperature gradient within the MACP.

^{[30]}Numerical examples are carried out to demonstrate the effects of saturation, transversely isotropic parameters, angular frequency and soil thickness on dynamic behavior of unsaturated porous media.

^{[31]}PFCA retention within water-unsaturated porous media is shown to depend on a number of inter-related factors and conditions that complicate the use of retardation factors within analytical models typically used for predicting transport rates under field conditions.

^{[32]}An understanding of nanoparticle interactions with solid surfaces in unsaturated porous media is important both for understanding nanoparticle fate in the environment, and for the design of environmental applications that depend on the delivery of nanoparticles.

^{[33]}A cohesive zone model and finite element code are used to simulate crack propagation in an unsaturated porous body.

^{[34]}A semi-continuum model for fluid flow in saturated-unsaturated porous medium in one spatial dimension is presented.

^{[35]}The study showed that (1) in the process of water injection into the unsaturated porous media, the water-seepage interface was clearly observed and changes in resistivity of the model material can be used to determine water-seepage velocity and interface position; (2) in the range of grout diffusion into the saturated porous media, the concentration of grout gradually decreased from along the diffusion direction, showing no obvious interface between the grout diffusion and nondiffusion areas; and (3) the resistivity of the saturated porous media in the grouting process greatly changed, and this change could be used to determine grout diffusion range, relative concentration in the diffusion range, and solidification degrees.

^{[36]}This chapter provides experimental information concerned with fluid flow in unsaturated porous media, with particular reference to resin transfer molding.

^{[37]}Normally, these contaminants travel through a saturated or unsaturated porous media and sometimes fractured till clays or silts are encountered in the surroundings.

^{[38]}In case of unsaturated porous media, the transport of virus is responsible for some of the parameters such as linear distribution coefficient, hydrodynamic dispersion coefficient and inactivation coefficient for both aqueous and sorbed virus.

^{[39]}Based on the porous theory, a three-dimensional model is presented in this paper to study heat and mass transfer characteristics of moisture soil, which was considered as unsaturated porous media.

^{[40]}In addition, we found that the amendment of unsaturated porous media with biochar/Fe3O4-biochar also decreased the transport of plastic particles.

^{[41]}The spontaneous imbibition of water into the matrix and gas-filled fractures of unsaturated porous media is an important phenomenon in many geotechnical applications.

^{[42]}The main aim of this work is to derive equations describing quasi-static and quasi-stationary processes of capillary transport of liquid and gas in unsaturated porous materials.

^{[43]}In this paper, we find the solution for fractional Richards equation describing the water transport in unsaturated porous media using q-homotopy analysis transform method (q-HATM).

^{[44]}Moreover, characterization and transport experiments of foam and F-NZVI in unsaturated porous media demonstrate the thermally enhanced evaporation of VOCs using F-NZVI and LF EMF (up to 40 times enhanced evaporation of trichloroethylene).

^{[45]}In this paper, it is a question of identification of the parameters in the equation of Richards modelling the flow in unsaturated porous medium.

^{[46]}Multiphase flow simulations were performed with the TOUGH2/EOS7CA software for unsaturated porous media, using field data and injection parameters, including sensitivity tests to permeability direction, diffusivity, and boundary conditions.

^{[47]}Dependence of hydraulic permeability on the temperature, concentration of a contaminant, amount of adsorbed contaminant and saturation is discussed on the base of van Genuchten empirical law for unsaturated porous media.

^{[48]}In the corresponding unsaturated experiments, silica was observed to play the opposite function with respect to virus transport, which demonstrated that silica facilitated virus transport in the presence of unsaturated porous media.

^{[49]}We present a mathematical approach to optimize the material distribution for fluid transport in unsaturated porous media.

^{[50]}

基于非饱和多孔介质弹性理论框架，考虑非等温条件的影响，研究了热物理性质对非饱和土中热弹性体波衰减特性的影响。

^{[1]}非饱和多孔材料的冻融行为和抗冻性与水饱和条件下的有很大不同。

^{[2]}气候变化对非饱和多孔介质的影响已通过利用离散断裂模型的热-水-力学耦合分析进行了研究。

^{[3]}为了评估和最小化这些混杂因素对 Rn 缺陷技术结果解释的影响，基于 Matlab® 的 222Rn 生产-分配-扩散在不饱和多孔介质中的多层模型（1D_RnDPM：一维 222Rn 扩散和分区模型）已经开发出来，可以作为本工作的补充材料免费获得。

^{[4]}不饱和多孔介质中的传递化学反应与环境和工业应用有关。

^{[5]}针对这一问题，本文以非饱和弹性半空间为研究对象，首先基于连续介质力学和多孔介质理论，然后考虑质量守恒方程、动量守恒方程、本构方程和有效应力原理等基本方程。最后，我们建立了骨架位移、孔隙水压力和孔隙气体压力基本为未知量的动态控制方程。

^{[6]}本文提供的数据表明，使用堵塞或不饱和的多孔盘将需要比所需的低一到两个数量级的排水剪切位移速率，例如。

^{[7]}我们的驱动应用是放射性废物储存环境中饱和-不饱和多孔介质中的多相流。

^{[8]}：预测非饱和多孔介质水力传导率的新模型，水资源。

^{[9]}由于压裂过程产生的能量贡献包含在 Coussy 的非饱和多孔介质热力学框架中。

^{[10]}本研究的目的是调查多组分 PFAS 溶液对 PFOS 在不饱和多孔介质中的传输过程中的保留的影响。

^{[11]}基于湿弹性和热弹性的线性理论，建立了非饱和多孔介质传热、湿气和变形耦合控制方程的解析方法。

^{[12]}以常微分方程（ODE）的非线性系统表示的生物活动发生在以达西定律为代表的不饱和多孔介质中。

^{[13]}这种新模型有望对不饱和多孔材料的电导率进行改进的定量评估。

^{[14]}模拟不饱和多孔介质中的流体流动是一个具有许多实际应用的复杂问题。

^{[15]}由于这个概念，所提出的方法能够在微观尺度上描述不饱和多孔介质中的流动性质。

^{[16]}冷冻不饱和多孔介质中的传热和传质。

^{[17]}结果表明，HA对Cu2+的迁移表现出更强的抑制作用，在HA@NPs存在下，较高的IS增强了Cu2+在不饱和多孔介质中的迁移率。

^{[18]}<p>我们提出了新的随机游走方法来解决饱和/非饱和多孔介质中的流动和传输问题，包括土壤中的耦合流动和传输过程、通过随机水力传导率和补给场建模的异质系统、现场和区域尺度的过程。

^{[19]}目前对不饱和多孔介质中全氟辛酸 (PFOA) 传输的理解仍然有限，溶液化学存在显着变化。

^{[20]}意义 在这里，我们展示了一种以前未报道的细菌在不饱和多孔介质中传播的机制，这有助于了解病原体对土壤的污染、植物软腐病和潜在的许多肺部疾病。

^{[21]}水力模型基于通过非饱和多孔介质的两相流体流动。

^{[22]}文献中提出的大多数非饱和多孔介质的入渗和保水模型通常基于孔隙系统的简化表示，并使用基质水头作为主要状态变量。

^{[23]}本文扩展了饱和多孔介质中吸附污染物的一维模型，建立了适用于不饱和多孔介质的三维情况。

^{[24]}非饱和多孔介质中流体运动的预测在科学和工程的许多分支中都很重要，例如土壤科学、农业工程、环境工程和地下水水文学。

^{[25]}在不饱和多孔介质中的传输过程中，全氟烷基物质和多氟烷基物质 (PFAS) 吸附在空气-水界面。

^{[26]}此外，我们开发了一个二维模型，将不饱和多孔介质中水分传输的理查兹方程与蒸发质量损失和传热耦合。

^{[27]}本文提出了一种广义插值材料点法 (GIMP)，用于模拟不饱和多孔介质中的热-水-机械 (THM) 耦合过程。

^{[28]}影响溶质通过不饱和多孔介质传输的过程因其与新兴污染物传输的相关性而受到新的关注。

^{[29]}(3)利用非饱和多孔介质中的传热传质理论，分离了由MACP内部温度梯度驱动的液态水通量。

^{[30]}数值例子表明饱和度、横向各向同性参数、角频率和土壤厚度对非饱和多孔介质动态行为的影响。

^{[31]}PFCA 在水不饱和多孔介质中的保留取决于许多相互关联的因素和条件，这些因素和条件使在通常用于预测现场条件下传输速率的分析模型中使用延迟因子变得复杂。

^{[32]}了解纳米粒子与不饱和多孔介质中固体表面的相互作用对于了解纳米粒子在环境中的命运以及设计依赖于纳米粒子输送的环境应用都很重要。

^{[33]}粘性区域模型和有限元代码用于模拟非饱和多孔体中的裂纹扩展。

^{[34]}提出了一种空间一维饱和-非饱和多孔介质中流体流动的半连续模型。

^{[35]}研究表明：（1）在非饱和多孔介质注水过程中，渗水界面清晰可见，模型材料电阻率的变化可用于确定渗水速度和界面位置； (2)在浆液向饱和多孔介质扩散范围内，浆液浓度由沿扩散方向逐渐减小，浆液扩散区与非扩散区没有明显的界面； (3)注浆过程中饱和多孔介质的电阻率发生较大变化，该变化可用于确定浆液扩散范围、扩散范围内的相对浓度和凝固程度。

^{[36]}本章提供有关不饱和多孔介质中流体流动的实验信息，特别是树脂传递模塑。

^{[37]}通常，这些污染物穿过饱和或不饱和的多孔介质，有时会破裂，直到在周围遇到粘土或淤泥。

^{[38]}在不饱和多孔介质的情况下，病毒的传输是一些参数的原因，例如水性和吸附病毒的线性分布系数、流体动力学分散系数和灭活系数。

^{[39]}本文基于多孔理论，提出了一个三维模型来研究被认为是非饱和多孔介质的水分土壤的传热传质特性。

^{[40]}此外，我们发现用生物炭/Fe3O4-生物炭对不饱和多孔介质的改性也降低了塑料颗粒的传输。

^{[41]}水自发渗入非饱和多孔介质的基质和充气裂缝中是许多岩土工程应用中的重要现象。

^{[42]}这项工作的主要目的是推导出描述不饱和多孔材料中液体和气体毛细管传输的准静态和准静态过程的方程。

^{[43]}在本文中，我们使用 q-同伦分析变换方法 (q-HATM) 找到了描述不饱和多孔介质中水传输的分数理查兹方程的解。

^{[44]}此外，泡沫和 F-NZVI 在不饱和多孔介质中的表征和传输实验表明，使用 F-NZVI 和 LF EMF 可以热增强 VOC 的蒸发（三氯乙烯的蒸发增强高达 40 倍）。

^{[45]}在本文中，这是一个识别不饱和多孔介质流动的理查兹方程中的参数的问题。

^{[46]}使用 TOUGH2/EOS7CA 软件对不饱和多孔介质进行多相流模拟，使用现场数据和注入参数，包括对渗透率方向、扩散率和边界条件的敏感性测试。

^{[47]}根据非饱和多孔介质的van Genuchten经验定律，讨论了水力渗透率对温度、污染物浓度、吸附污染物量和饱和度的依赖性。

^{[48]}在相应的不饱和实验中，观察到二氧化硅在病毒转运方面发挥相反的作用，这表明二氧化硅在不饱和多孔介质存在下促进了病毒转运。

^{[49]}我们提出了一种数学方法来优化不饱和多孔介质中流体传输的材料分布。

^{[50]}

## unsaturated porous medium 不饱和多孔介质

Based on the framework of elastic theory for unsaturated porous medium and considering the effects of non-isothermal conditions, this paper studies the influences of thermophysical properties on the attenuation characteristics of thermoelastic body waves in unsaturated soil.^{[1]}The impacts of climate change on unsaturated porous media have been investigated through the coupled thermo-hydro-mechanical analysis by leveraging a discrete fracture model.

^{[2]}To evaluate and minimize the effect of these confounding factors on the interpretation of the results of the Rn deficit technique, a Matlab® based multi-layer model of 222Rn production-partition-diffusion in unsaturated porous media (1D_RnDPM: One-Dimensional 222Rn Diffusion and Partition Model) has been developed and is freely available as Supplementary Material in this work.

^{[3]}Transported chemical reactions in unsaturated porous media are relevant to environmental and industrial applications.

^{[4]}Aiming at this problem, this paper takes unsaturated elastic half-space as the research object, firstly based on continuum mechanics and porous media theory, and then considers the basic equations of mass conservation equation, momentum conservation equation, constitutive equation and effective stress principle of each phase in unsaturated porous media, and finally, we established a dynamic control equation in which skeleton displacement, pore water pressure and pore gas pressure are basically unknown quantities.

^{[5]}Our driving application is multiphase flow in saturated-unsaturated porous media in the context of radioactive waste storage.

^{[6]}: A new model for predicting the hydraulic conductivity of unsaturated porous media, Water Resour.

^{[7]}The energy contribution due to the fracturing process is included in Coussy’s thermodynamic framework for unsaturated porous media.

^{[8]}The objective of this research was to investigate the impact of multiple-component PFAS solutions on the retention of PFOS during transport in unsaturated porous media.

^{[9]}An analytical method is developed for the coupling control equations of heat transfer, moisture transfer and deformation in unsaturated porous media, basing on the linear theory of wet and thermal elasticity.

^{[10]}The biological activity, represented with a non linear system of ordinary differential equations (ODE), takes place in an unsaturated porous medium represented by Darcy law.

^{[11]}Modelling fluid flow in an unsaturated porous medium is a complex problem with many practical applications.

^{[12]}Thanks to this concept, the proposed approach is capable of describing the nature of flow in unsaturated porous media at the microscale level.

^{[13]}Heat and mass transfer in a freezing unsaturated porous medium.

^{[14]}The results showed that HA exhibited a stronger inhibition effect on Cu2+ transport, and a higher IS enhanced the mobility of Cu2+ in an unsaturated porous medium in the presence of HA@NPs.

^{[15]}We present new random walk methods to solve flow and transport problems in saturated/unsaturated porous media, including coupled flow and transport processes in soils, heterogeneous systems modeled through random hydraulic conductivity and recharge fields, processes at the field and regional scales.

^{[16]}Current understanding of perﬂuorooctanoic acid (PFOA) transport in unsaturated porous media is still limited with significant variability in solution chemistry.

^{[17]}Significance Here, we demonstrate a previously unreported mechanism of bacterial spreading in unsaturated porous media, which can inform understanding of soil contamination by pathogens, soft rot in plants, and potentially many pulmonary diseases.

^{[18]}The hydraulic model is based on two-phase fluid flow through unsaturated porous media.

^{[19]}Most infiltration and water retention models for unsaturated porous media proposed in the literature often are based on simplified representations of the pore system and use the matric head as the main state variable.

^{[20]}This paper extends a one-dimensional model of adsorbed contaminants in saturated porous media to establish a three-dimensional case suitable for unsaturated porous media.

^{[21]}'e prediction of fluid movement in unsaturated porous media is important in many branches of science and engineering such as soil sciences, agricultural engineering, environmental engineering, and ground water hydrology.

^{[22]}Per- and poly-fluoroalkyl substances (PFAS) adsorb at air-water interfaces during transport in unsaturated porous media.

^{[23]}Furthermore, we have developed a two-dimensional model coupling the Richards equation for moisture transport in unsaturated porous media with evaporative mass loss and heat transfer.

^{[24]}This paper proposes a Generalized Interpolation Material Point Method (GIMP) for modelling coupled thermo-hydro-mechanical (THM) processes within unsaturated porous media.

^{[25]}The processes impacting solute transport through unsaturated porous media have been receiving renewed attention due to their relevance to the transport of emerging contaminants.

^{[26]}(3) The heat and mass transfer theory in the unsaturated porous medium was used to separate liquid water flux drove by the temperature gradient within the MACP.

^{[27]}Numerical examples are carried out to demonstrate the effects of saturation, transversely isotropic parameters, angular frequency and soil thickness on dynamic behavior of unsaturated porous media.

^{[28]}PFCA retention within water-unsaturated porous media is shown to depend on a number of inter-related factors and conditions that complicate the use of retardation factors within analytical models typically used for predicting transport rates under field conditions.

^{[29]}An understanding of nanoparticle interactions with solid surfaces in unsaturated porous media is important both for understanding nanoparticle fate in the environment, and for the design of environmental applications that depend on the delivery of nanoparticles.

^{[30]}A semi-continuum model for fluid flow in saturated-unsaturated porous medium in one spatial dimension is presented.

^{[31]}The study showed that (1) in the process of water injection into the unsaturated porous media, the water-seepage interface was clearly observed and changes in resistivity of the model material can be used to determine water-seepage velocity and interface position; (2) in the range of grout diffusion into the saturated porous media, the concentration of grout gradually decreased from along the diffusion direction, showing no obvious interface between the grout diffusion and nondiffusion areas; and (3) the resistivity of the saturated porous media in the grouting process greatly changed, and this change could be used to determine grout diffusion range, relative concentration in the diffusion range, and solidification degrees.

^{[32]}This chapter provides experimental information concerned with fluid flow in unsaturated porous media, with particular reference to resin transfer molding.

^{[33]}Normally, these contaminants travel through a saturated or unsaturated porous media and sometimes fractured till clays or silts are encountered in the surroundings.

^{[34]}In case of unsaturated porous media, the transport of virus is responsible for some of the parameters such as linear distribution coefficient, hydrodynamic dispersion coefficient and inactivation coefficient for both aqueous and sorbed virus.

^{[35]}Based on the porous theory, a three-dimensional model is presented in this paper to study heat and mass transfer characteristics of moisture soil, which was considered as unsaturated porous media.

^{[36]}In addition, we found that the amendment of unsaturated porous media with biochar/Fe3O4-biochar also decreased the transport of plastic particles.

^{[37]}The spontaneous imbibition of water into the matrix and gas-filled fractures of unsaturated porous media is an important phenomenon in many geotechnical applications.

^{[38]}In this paper, we find the solution for fractional Richards equation describing the water transport in unsaturated porous media using q-homotopy analysis transform method (q-HATM).

^{[39]}Moreover, characterization and transport experiments of foam and F-NZVI in unsaturated porous media demonstrate the thermally enhanced evaporation of VOCs using F-NZVI and LF EMF (up to 40 times enhanced evaporation of trichloroethylene).

^{[40]}In this paper, it is a question of identification of the parameters in the equation of Richards modelling the flow in unsaturated porous medium.

^{[41]}Multiphase flow simulations were performed with the TOUGH2/EOS7CA software for unsaturated porous media, using field data and injection parameters, including sensitivity tests to permeability direction, diffusivity, and boundary conditions.

^{[42]}Dependence of hydraulic permeability on the temperature, concentration of a contaminant, amount of adsorbed contaminant and saturation is discussed on the base of van Genuchten empirical law for unsaturated porous media.

^{[43]}In the corresponding unsaturated experiments, silica was observed to play the opposite function with respect to virus transport, which demonstrated that silica facilitated virus transport in the presence of unsaturated porous media.

^{[44]}We present a mathematical approach to optimize the material distribution for fluid transport in unsaturated porous media.

^{[45]}The resulting sludge cake was affixed atop an unsaturated porous medium column of glass beads to assess: i) the release of particulate plastic from the sludge, and ii) the accumulation and mobilty of plastic and organic matter through the column (analogous to a soil).

^{[46]}The partial differential equations of unsaturated porous medium in frequency domain are deduced based on the equations of motion and mass conservation of three phases, with consideration of the compressibility of solid grain and pore fluid.

^{[47]}To investigate the interrelations among water inflow behavior, air pressure, air confinement effect, and vent effectiveness in unsaturated porous media experiencing dynamic infiltration, a total of five dynamic infiltration experiments with fixed inlet water pressure were performed with different air vents open or closed along the column length.

^{[48]}

基于非饱和多孔介质弹性理论框架，考虑非等温条件的影响，研究了热物理性质对非饱和土中热弹性体波衰减特性的影响。

^{[1]}气候变化对非饱和多孔介质的影响已通过利用离散断裂模型的热-水-力学耦合分析进行了研究。

^{[2]}为了评估和最小化这些混杂因素对 Rn 缺陷技术结果解释的影响，基于 Matlab® 的 222Rn 生产-分配-扩散在不饱和多孔介质中的多层模型（1D_RnDPM：一维 222Rn 扩散和分区模型）已经开发出来，可以作为本工作的补充材料免费获得。

^{[3]}不饱和多孔介质中的传递化学反应与环境和工业应用有关。

^{[4]}针对这一问题，本文以非饱和弹性半空间为研究对象，首先基于连续介质力学和多孔介质理论，然后考虑质量守恒方程、动量守恒方程、本构方程和有效应力原理等基本方程。最后，我们建立了骨架位移、孔隙水压力和孔隙气体压力基本为未知量的动态控制方程。

^{[5]}我们的驱动应用是放射性废物储存环境中饱和-不饱和多孔介质中的多相流。

^{[6]}：预测非饱和多孔介质水力传导率的新模型，水资源。

^{[7]}由于压裂过程产生的能量贡献包含在 Coussy 的非饱和多孔介质热力学框架中。

^{[8]}本研究的目的是调查多组分 PFAS 溶液对 PFOS 在不饱和多孔介质中的传输过程中的保留的影响。

^{[9]}基于湿弹性和热弹性的线性理论，建立了非饱和多孔介质传热、湿气和变形耦合控制方程的解析方法。

^{[10]}以常微分方程（ODE）的非线性系统表示的生物活动发生在以达西定律为代表的不饱和多孔介质中。

^{[11]}模拟不饱和多孔介质中的流体流动是一个具有许多实际应用的复杂问题。

^{[12]}由于这个概念，所提出的方法能够在微观尺度上描述不饱和多孔介质中的流动性质。

^{[13]}冷冻不饱和多孔介质中的传热和传质。

^{[14]}结果表明，HA对Cu2+的迁移表现出更强的抑制作用，在HA@NPs存在下，较高的IS增强了Cu2+在不饱和多孔介质中的迁移率。

^{[15]}<p>我们提出了新的随机游走方法来解决饱和/非饱和多孔介质中的流动和传输问题，包括土壤中的耦合流动和传输过程、通过随机水力传导率和补给场建模的异质系统、现场和区域尺度的过程。

^{[16]}目前对不饱和多孔介质中全氟辛酸 (PFOA) 传输的理解仍然有限，溶液化学存在显着变化。

^{[17]}意义 在这里，我们展示了一种以前未报道的细菌在不饱和多孔介质中传播的机制，这有助于了解病原体对土壤的污染、植物软腐病和潜在的许多肺部疾病。

^{[18]}水力模型基于通过非饱和多孔介质的两相流体流动。

^{[19]}文献中提出的大多数非饱和多孔介质的入渗和保水模型通常基于孔隙系统的简化表示，并使用基质水头作为主要状态变量。

^{[20]}本文扩展了饱和多孔介质中吸附污染物的一维模型，建立了适用于不饱和多孔介质的三维情况。

^{[21]}非饱和多孔介质中流体运动的预测在科学和工程的许多分支中都很重要，例如土壤科学、农业工程、环境工程和地下水水文学。

^{[22]}在不饱和多孔介质中的传输过程中，全氟烷基物质和多氟烷基物质 (PFAS) 吸附在空气-水界面。

^{[23]}此外，我们开发了一个二维模型，将不饱和多孔介质中水分传输的理查兹方程与蒸发质量损失和传热耦合。

^{[24]}本文提出了一种广义插值材料点法 (GIMP)，用于模拟不饱和多孔介质中的热-水-机械 (THM) 耦合过程。

^{[25]}影响溶质通过不饱和多孔介质传输的过程因其与新兴污染物传输的相关性而受到新的关注。

^{[26]}(3)利用非饱和多孔介质中的传热传质理论，分离了由MACP内部温度梯度驱动的液态水通量。

^{[27]}数值例子表明饱和度、横向各向同性参数、角频率和土壤厚度对非饱和多孔介质动态行为的影响。

^{[28]}PFCA 在水不饱和多孔介质中的保留取决于许多相互关联的因素和条件，这些因素和条件使在通常用于预测现场条件下传输速率的分析模型中使用延迟因子变得复杂。

^{[29]}了解纳米粒子与不饱和多孔介质中固体表面的相互作用对于了解纳米粒子在环境中的命运以及设计依赖于纳米粒子输送的环境应用都很重要。

^{[30]}提出了一种空间一维饱和-非饱和多孔介质中流体流动的半连续模型。

^{[31]}研究表明：（1）在非饱和多孔介质注水过程中，渗水界面清晰可见，模型材料电阻率的变化可用于确定渗水速度和界面位置； (2)在浆液向饱和多孔介质扩散范围内，浆液浓度由沿扩散方向逐渐减小，浆液扩散区与非扩散区没有明显的界面； (3)注浆过程中饱和多孔介质的电阻率发生较大变化，该变化可用于确定浆液扩散范围、扩散范围内的相对浓度和凝固程度。

^{[32]}本章提供有关不饱和多孔介质中流体流动的实验信息，特别是树脂传递模塑。

^{[33]}通常，这些污染物穿过饱和或不饱和的多孔介质，有时会破裂，直到在周围遇到粘土或淤泥。

^{[34]}在不饱和多孔介质的情况下，病毒的传输是一些参数的原因，例如水性和吸附病毒的线性分布系数、流体动力学分散系数和灭活系数。

^{[35]}本文基于多孔理论，提出了一个三维模型来研究被认为是非饱和多孔介质的水分土壤的传热传质特性。

^{[36]}此外，我们发现用生物炭/Fe3O4-生物炭对不饱和多孔介质的改性也降低了塑料颗粒的传输。

^{[37]}水自发渗入非饱和多孔介质的基质和充气裂缝中是许多岩土工程应用中的重要现象。

^{[38]}在本文中，我们使用 q-同伦分析变换方法 (q-HATM) 找到了描述不饱和多孔介质中水传输的分数理查兹方程的解。

^{[39]}此外，泡沫和 F-NZVI 在不饱和多孔介质中的表征和传输实验表明，使用 F-NZVI 和 LF EMF 可以热增强 VOC 的蒸发（三氯乙烯的蒸发增强高达 40 倍）。

^{[40]}在本文中，这是一个识别不饱和多孔介质流动的理查兹方程中的参数的问题。

^{[41]}使用 TOUGH2/EOS7CA 软件对不饱和多孔介质进行多相流模拟，使用现场数据和注入参数，包括对渗透率方向、扩散率和边界条件的敏感性测试。

^{[42]}根据非饱和多孔介质的van Genuchten经验定律，讨论了水力渗透率对温度、污染物浓度、吸附污染物量和饱和度的依赖性。

^{[43]}在相应的不饱和实验中，观察到二氧化硅在病毒转运方面发挥相反的作用，这表明二氧化硅在不饱和多孔介质存在下促进了病毒转运。

^{[44]}我们提出了一种数学方法来优化不饱和多孔介质中流体传输的材料分布。

^{[45]}将所得污泥饼固定在玻璃珠的不饱和多孔介质柱顶部，以评估：i) 颗粒塑料从污泥中的释放，以及 ii) 塑料和有机物质通过柱的积累和迁移（类似于土壤） .

^{[46]}基于三相运动质量守恒方程，考虑固体颗粒和孔隙流体的可压缩性，推导了不饱和多孔介质频域偏微分方程。

^{[47]}为了研究经历动态入渗的非饱和多孔介质中的进水行为、气压、空气约束效应和通气效果之间的相互关系，共进行了 5 次固定进水压力的动态入渗实验，不同通气孔沿管道打开或关闭。列长度。

^{[48]}

## unsaturated porous material 不饱和多孔材料

The freezing/thawing behavior and the frost-resistance of unsaturated porous materials are quite different from those in water saturated condition.^{[1]}This new model is expected to provide an improved quantitative evaluation of the electrical conductivity of unsaturated porous materials.

^{[2]}The main aim of this work is to derive equations describing quasi-static and quasi-stationary processes of capillary transport of liquid and gas in unsaturated porous materials.

^{[3]}

非饱和多孔材料的冻融行为和抗冻性与水饱和条件下的有很大不同。

^{[1]}这种新模型有望对不饱和多孔材料的电导率进行改进的定量评估。

^{[2]}这项工作的主要目的是推导出描述不饱和多孔材料中液体和气体毛细管传输的准静态和准静态过程的方程。

^{[3]}