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Study on vibration reduction of two-scale system coupled with dynamic vibration absorber
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作者 Honglin WAN Xianghong LI Yongjun SHEN 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 2024年第8期1335-1352,共18页
The dynamic vibration absorber with inerter and grounded stiffness(IGDVA)is used to control a two-scale system subject to a weak periodic perturbation.The vibration suppression effect is remarkable.The amplitude of th... The dynamic vibration absorber with inerter and grounded stiffness(IGDVA)is used to control a two-scale system subject to a weak periodic perturbation.The vibration suppression effect is remarkable.The amplitude of the main system coupled with absorber is significantly reduced,and the high frequency vibration completely disappears.First,through the slow-fast analysis and stability theory,it is found that the stability of the autonomous system exerts a notable regulating effect on the vibration response of the non-autonomous system.After adding the dynamic vibrator absorber,the center in the autonomous system changes to an asymptotically stable focus,consequently suppressing the vibration in the non-autonomous system.Further research reveals that the parameters of the absorber affect the real parts of the eigenvalues of the autonomous system,thereby regulating the stability of the system.Transitioning from a qualitative standpoint to a quantitative approach,a comparison of the solutions before and after the introduction of the dynamic absorber reveals that,when the grounded stiffness ratio and the mass ratio of the dynamic absorber are not equal,the high-frequency part in the analytical solution disappears.As a result,this leads to a reduction in the amplitude of the trajectory,achieving a vibration reduction effect. 展开更多
关键词 two-scale system dynamic vibration absorber vibration control inerter
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Improved Microwave Ocean Emissivity and Reflectivity Models Derived from Two-Scale Roughness Theory 被引量:1
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作者 Lingli HE Fuzhong WENG 《Advances in Atmospheric Sciences》 SCIE CAS CSCD 2023年第10期1923-1938,共16页
The Geometrical Optics(GO)approach and the FAST Emissivity Model(FASTEM)are widely used to estimate the surface radiative components in atmospheric radiative transfer simulations,but their applications are limited in ... The Geometrical Optics(GO)approach and the FAST Emissivity Model(FASTEM)are widely used to estimate the surface radiative components in atmospheric radiative transfer simulations,but their applications are limited in specific conditions.In this study,a two-scale reflectivity model(TSRM)and a two-scale emissivity model(TSEM)are developed from the two-scale roughness theory.Unlike GO which only computes six non-zero elements in the reflectivity matrix,The TSRM includes 16 elements of Stokes reflectivity matrix which are important for improving radiative transfer simulation accuracy in a scattering atmosphere.It covers the frequency range from L-to W-bands.The dependences of all TSRM elements on zenith angle,wind speed,and frequency are derived and analyzed in details.For a set of downwelling radiances in microwave frequencies,the reflected upwelling brightness temperature(BTs)are calculated from both TSRM and GO and compared for analyzing their discrepancies.The TSRM not only includes the effects of GO but also accounts for the small-scale Bragg scattering effect in an order of several degrees in Kelvins in brightness temperature.Also,the third and fourth components of the Stokes vector can only be produced from the TSRM.For the emitted radiation,BT differences in vertical polarization between a TSEM and FASTEM are generally less than 5 K when the satellite zenith angle is less than 40°,whereas those for the horizontal component can be quite significant,greater than 20 K. 展开更多
关键词 EMISSIVITY microwave remote sensing reflectivity matrix two-scale roughness theory
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A two-scale method for identifying mechanical parameters of composite materials with periodic configuration 被引量:9
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作者 J.Z. Cui X.G. Yu 《Acta Mechanica Sinica》 SCIE EI CAS CSCD 2006年第6期581-594,共14页
In this paper, a two-scale method (TSM) is presented for identifying the mechanics parameters such as stiffness and strength of composite materials with small periodic configuration. Firstly, a formulation is briefl... In this paper, a two-scale method (TSM) is presented for identifying the mechanics parameters such as stiffness and strength of composite materials with small periodic configuration. Firstly, a formulation is briefly given for two-scale analysis (TSA) of the composite materials. And then a two-scale computation formulation of strains and stresses is developed by displacement solution with orthotropic material coefficients for three kinds of such composites structures, i.e., the tension column with a square cross section, the bending cantilever with a rectangular cross section and the torsion column with a circle cross section. The strength formulas for the three kinds of structures are derived and the TSM procedure is discussed. Finally the numerical results of stiffness and strength are presented and compared with experimental data. It shows that the TSM method in this paper is feasible and valid for predicting both the stiffness and the strength of the composite materials with periodic configuration. 展开更多
关键词 two-scale method STIFFNESS STRENGTH Composite materials Small periodic configuration
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A nonlinear k_p-ε_p particle two-scale turbulence model and its application 被引量:3
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作者 Zhuoxiong Zeng Zhuozhi Zeng Yihua Xu 《Acta Mechanica Sinica》 SCIE EI CAS CSCD 2007年第6期621-625,共5页
A particle nonlinear two-scale kp-εp turbulence model is proposed for simulating the anisotropic turbulent two-phase flow. The particle kinetic energy equation for two-scale fluctuation, particle energy transfer rate... A particle nonlinear two-scale kp-εp turbulence model is proposed for simulating the anisotropic turbulent two-phase flow. The particle kinetic energy equation for two-scale fluctuation, particle energy transfer rate equation for large-scale fluctuation, and particle turbulent kinetic energy dissipation rate equation for small-scale fluctuation are derived and closed. This model is used to simulate gas-particle flows in a sudden-expansion chamber. The simulation is com- pared with the experiment and with those obtained by using another two kinds of tow-phase turbulence model, such as the single-scale k-ε two-phase turbulence model and the particle two-scale second-order moment (USM) two-phase turbulence model. It is shown that the present model gives simulation in much better agreement with the experiment than the single-scale k-ε two-phase turbulence model does and is almost as good as the particle two-scale USM turbu-lence model. 展开更多
关键词 Gas-particle flows Second-order moment model two-scale fluctuation
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Two-scale finite element method for piezoelectric problem in periodic structure 被引量:2
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作者 邓明香 冯永平 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 2011年第12期1525-1540,共16页
The prediction of the mechanical and electric properties of piezoelectric fibre composites has become an active research area in recent years. By means of introducing a boundary layer problem, some new kinds of two-sc... The prediction of the mechanical and electric properties of piezoelectric fibre composites has become an active research area in recent years. By means of introducing a boundary layer problem, some new kinds of two-scale finite element methods for solutions to the electric potential and the displacement for composite material in periodic struc- ture under the coupled piezoelectricity are derived. The coupled two-scale relation of the electric potential and the displacement is set up, and some finite element approximate estimates and numerical examples which show the effectiveness of the method are presented. 展开更多
关键词 two-scale method PIEZOELECTRICITY periodic structure finite element method homogenization constant
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A two-scale second-order moment two-phase turbulence model for simulating dense gas-particle flows 被引量:4
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作者 Zhuoxiong Zeng Lixing Zhou Jian Zhang 《Acta Mechanica Sinica》 SCIE EI CAS CSCD 2005年第5期425-429,共5页
A two-scale second-order moment two-phase turbulence model accounting for inter-particle collision is developed, based on the concepts of particle large-scale fluctuation due to turbulence and particle small-scale flu... A two-scale second-order moment two-phase turbulence model accounting for inter-particle collision is developed, based on the concepts of particle large-scale fluctuation due to turbulence and particle small-scale fluctuation due to collision and through a unified treatment of these two kinds of fluctuations. The proposed model is used to simulate gas-particle flows in a channel and in a downer. Simulation results are in agreement with the experimental results reported in references and are near the results obtained using the sin- gle-scale second-order moment two-phase turbulence model superposed with a particle collision model (USM-θ model) in most regions. 展开更多
关键词 Gas-particle flows .Second-order moment model . two-scale fluctuation
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Polarimetric entropy of the ocean surface with a two-scale scattering model
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作者 WANG Wenguang LI Haiyan SONG Xingai 《Acta Oceanologica Sinica》 SCIE CAS CSCD 2014年第1期102-108,共7页
The relationships among an ocean wave spectrum,a fully polarimetric coherence matrix,and radar parameters are deduced with an electromagnetic wave theory.Furthermore,the relationship between the polarimetric entropy a... The relationships among an ocean wave spectrum,a fully polarimetric coherence matrix,and radar parameters are deduced with an electromagnetic wave theory.Furthermore,the relationship between the polarimetric entropy and ocean wave spectrum is established based on the definition of entropy and a twoscale scattering model of the ocean surface.It is the first time that the polarimetric entropy of the ocean surface is presented in theory.Meanwhile,the relationships among the fully polarimetric entropy and the parameters related to radar and ocean are discussed.The study is the basis of further monitoring targets on the ocean surface and deriving oceanic information with the entropy from the ocean surface.The contrast enhancement between human-made targets and the ocean surface with the entropy is presented with quad-pol airborne synthetic aperture radar(AIRSAR) data. 展开更多
关键词 ENTROPY ocean wave spectrum polarimetric synthetic aperture radar POLSAR two-scale scattering mode contrast enhancement
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Derivation of a second-order model for Reynolds stress using renormalization group analysis and the two-scale expansion technique
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作者 Xiao-Hong Wang Zheng-Feng Liu Xiao-Xia Lu 《Acta Mechanica Sinica》 SCIE EI CAS CSCD 2011年第5期649-659,共11页
With the two-scale expansion technique proposed by Yoshizawa,the turbulent fluctuating field is expanded around the isotropic field.At a low-order two-scale expansion,applying the mode coupling approximation in the Ya... With the two-scale expansion technique proposed by Yoshizawa,the turbulent fluctuating field is expanded around the isotropic field.At a low-order two-scale expansion,applying the mode coupling approximation in the Yakhot-Orszag renormalization group method to analyze the fluctuating field,the Reynolds-average terms in the Reynolds stress transport equation,such as the convective term,the pressure-gradient-velocity correlation term and the dissipation term,are modeled.Two numerical examples:turbulent flow past a backward-facing step and the fully developed flow in a rotating channel,are presented for testing the efficiency of the proposed second-order model.For these two numerical examples,the proposed model performs as well as the Gibson-Launder (GL) model,giving better prediction than the standard k-ε model,especially in the abilities to calculate the secondary flow in the backward-facing step flow and to capture the asymmetric turbulent structure caused by frame rotation. 展开更多
关键词 Turbulent modeling Renormalization group two-scale expansion Reynolds stress transport equation Second-order model
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Second-order two-scale computational method for ageing linear viscoelastic problem in composite materials with periodic structure
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作者 Yang ZHANG Junzhi CUI Yufeng NIE 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI CSCD 2016年第2期253-264,共12页
The correspondence principle is an important mathematical technique to compute the non-ageing linear viscoelastic problem as it allows to take advantage of the computational methods originally developed for the elasti... The correspondence principle is an important mathematical technique to compute the non-ageing linear viscoelastic problem as it allows to take advantage of the computational methods originally developed for the elastic case. However, the correspon- dence principle becomes invalid when the materials exhibit ageing. To deal with this problem, a second-order two-scale (SOTS) computational method in the time domain is presented to predict the ageing linear viscoelastic performance of composite materials with a periodic structure. First, in the time domain, the SOTS formulation for calcu- lating the effective relaxation modulus and displacement approximate solutions of the ageing viscoelastic problem is formally derived. Error estimates of the displacement ap- proximate solutions for SOTS method are then given. Numerical results obtained by the SOTS method are shown and compared with those by the finite element method in a very fine mesh. Both the analytical and numerical results show that the SOTS computational method is feasible and efficient to predict the ageing linear viscoelastic performance of composite materials with a periodic structure. 展开更多
关键词 second-order two-scale (SOTS) method ageing VISCOELASTICITY composite material periodic structure
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EFFECT OF EMPIRICAL COEFFICIENTS ON SIMULATION IN TWO-SCALE SECOND-ORDER MOMENT PARTICLE-PHASE TURBULENCE MODEL
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作者 胡春波 曾卓雄 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 2006年第11期1491-1497,共7页
A two-scale second-order moment two-phase turbulence model accounting for inter-particle collision is developed, based on the concept of particle large-scale fluctuation due to turbulence and particle small-scale fluc... A two-scale second-order moment two-phase turbulence model accounting for inter-particle collision is developed, based on the concept of particle large-scale fluctuation due to turbulence and particle small-scale fluctuation due to collision. The proposed model is used to simulate gas-particle downer reactor flows. The computational results of both particle volume fraction and mean velocity are in agreement with the experimental results. After analyzing effects of empirical coefficient on prediction results, we can come to a conclusion that, inside the limit range of empirical coefficient, the predictions do not reveal a large sensitivity to the empirical coefficient in the downer reactor, but a relatively great change of the constants has important effect on the prediction. 展开更多
关键词 two-phase flow second-order moment model two-scale fluctuation empirical coefficients
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Second-order two-scale analysis and numerical algorithms for the hyperbolic–parabolic equations with rapidly oscillating coefficients
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作者 董灏 聂玉峰 +1 位作者 崔俊芝 武亚涛 《Chinese Physics B》 SCIE EI CAS CSCD 2015年第9期40-53,共14页
We study the hyperbolic–parabolic equations with rapidly oscillating coefficients. The formal second-order two-scale asymptotic expansion solutions are constructed by the multiscale asymptotic analysis. In addition, ... We study the hyperbolic–parabolic equations with rapidly oscillating coefficients. The formal second-order two-scale asymptotic expansion solutions are constructed by the multiscale asymptotic analysis. In addition, we theoretically explain the importance of the second-order two-scale solution by the error analysis in the pointwise sense. The associated explicit convergence rates are also obtained. Then a second-order two-scale numerical method based on the Newmark scheme is presented to solve the equations. Finally, some numerical examples are used to verify the effectiveness and efficiency of the multiscale numerical algorithm we proposed. 展开更多
关键词 hyperbolic–parabolic equations rapidly oscillating coefficients second-order two-scale numerical method Newmark scheme
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Second-order two-scale computations for conductive radiative heat transfer problem in periodic porous materials
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作者 杨志强 崔俊芝 李博文 《Chinese Physics B》 SCIE EI CAS CSCD 2014年第3期91-98,共8页
In this paper, a kind of second-order two-scale (SOTS) computation is developed for conductive-radiative heat trans- fer problem in periodic porous materials. First of all, by the asymptotic expansion of the tempera... In this paper, a kind of second-order two-scale (SOTS) computation is developed for conductive-radiative heat trans- fer problem in periodic porous materials. First of all, by the asymptotic expansion of the temperature field, the cell problem, homogenization problem, and second-order correctors are obtained successively. Then, the corresponding finite element al- gorithms are proposed. Finally, some numerical results are presented and compared with theoretical results. The numerical results of the proposed algorithm conform with those of the FE algorithm well, demonstrating the accuracy of the present method and its potential applications in thermal engineering of porous materials. 展开更多
关键词 second-order two-scale (SOTS) computations periodic porous materials conductive-radiativeheat transfer
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A two-order and two-scale computation method for nonselfadjoint elliptic problems with rapidly oscillatory coefficients
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作者 苏芳 崔俊芝 徐湛 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 2009年第12期1579-1588,共10页
The purpose of this paper is to solve nonselfadjoint elliptic problems with rapidly oscillatory coefficients. A two-order and two-scale approximate solution expression for nonselfadjoint elliptic problems is considere... The purpose of this paper is to solve nonselfadjoint elliptic problems with rapidly oscillatory coefficients. A two-order and two-scale approximate solution expression for nonselfadjoint elliptic problems is considered, and the error estimation of the twoorder and two-scale approximate solution is derived. The numerical result shows that the presented approximation solution is effective. 展开更多
关键词 nonselfadjoint elliptic problems rapidly oscillatory coefficients two-order and two-scale finite element method
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Dynamic thermo-mechanical coupled response of random particulate composites:A statistical two-scale method
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作者 杨自豪 陈云 +1 位作者 杨志强 马强 《Chinese Physics B》 SCIE EI CAS CSCD 2014年第7期605-616,共12页
This paper focuses on the dynamic thermo-mechanical coupled response of random particulate composite materials. Both the inertia term and coupling term are considered in the dynamic coupled problem. The formulation of... This paper focuses on the dynamic thermo-mechanical coupled response of random particulate composite materials. Both the inertia term and coupling term are considered in the dynamic coupled problem. The formulation of the problem by a statistical second-order two-scale (SSOTS) analysis method and the algorithm procedure based on the finite-element difference method are presented. Numerical results of coupled cases are compared with those of uncoupled cases. It shows that the coupling effects on temperature, thermal flux, displacement, and stresses are very distinct, and the micro- characteristics of particles affect the coupling effect of the random composites. Furthermore, the coupling effect causes a lag in the variations of temperature, thermal flux, displacement, and stresses. 展开更多
关键词 random particulate composites statistical second-order two-scale (SSOTS) analysis method thermo-mechanical coupling effect numerical algorithm
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Stochastic Second-Order Two-Scale Method for Predicting the Mechanical Properties of Composite Materials with Random Interpenetrating Phase
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作者 Hao Dong Zihao Yang +1 位作者 Xiaofei Guan Zhiqiang Yang 《Communications in Mathematical Research》 CSCD 2020年第2期193-210,共18页
In this paper,a stochastic second-order two-scale(SSOTS)method is proposed for predicting the non-deterministic mechanical properties of composites with random interpenetrating phase.Firstly,based on random morphology... In this paper,a stochastic second-order two-scale(SSOTS)method is proposed for predicting the non-deterministic mechanical properties of composites with random interpenetrating phase.Firstly,based on random morphology description functions(RMDF),the randomness of the material properties of the constituents as well as the correlation among these random properties are fully characterized through the topologies of the constituents.Then,by virtue of multiscale asymptotic analysis,the random effective quantities such as stiffness parameters and strength parameters along with their numerical computation formulae are derived by a SSOTS strategy combined with the Monte-Carlo method.Finally,the SSOTS method developed in this paper shows an excellent computational accuracy,and therefore present an important advance towards computationally efficient multiscale modeling frameworks considering microstructure uncertainties. 展开更多
关键词 Mechanical properties stochastic second-order two-scale method random interpenetrating phase composites strength properties
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Statistical second-order two-scale analysis and computation for heat conduction problem with radiation boundary condition in porous materials
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作者 杨志强 刘世伟 孙毅 《Chinese Physics B》 SCIE EI CAS CSCD 2016年第9期189-197,共9页
This paper discusses a statistical second-order two-scale(SSOTS) analysis and computation for a heat conduction problem with a radiation boundary condition in random porous materials.Firstly,the microscopic configur... This paper discusses a statistical second-order two-scale(SSOTS) analysis and computation for a heat conduction problem with a radiation boundary condition in random porous materials.Firstly,the microscopic configuration for the structure with random distribution is briefly characterized.Secondly,the SSOTS formulae for computing the heat transfer problem are derived successively by means of the construction way for each cell.Then,the statistical prediction algorithm based on the proposed two-scale model is described in detail.Finally,some numerical experiments are proposed,which show that the SSOTS method developed in this paper is effective for predicting the heat transfer performance of porous materials and demonstrating its significant applications in actual engineering computation. 展开更多
关键词 statistical second-order two-scale method radiation boundary condition random porous materials
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The Electrokinetic Cross-Coupling Coefficient: Two-Scale Homogenization Approach
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作者 Vladimir Shelukhin Igor Yeltsov Iliya Paranichev 《World Journal of Mechanics》 2011年第3期127-136,共10页
By the two-scale homogenization approach we justify a two-scale model of ion transport through a layered membrane, with flows being driven by a pressure gradient and an external electrical field. By up-scaling, the el... By the two-scale homogenization approach we justify a two-scale model of ion transport through a layered membrane, with flows being driven by a pressure gradient and an external electrical field. By up-scaling, the electroosmotic flow equations in horizontal thin slits separated by thin solid layers are approximated by a homogenized system of macroscale equations in the form of the Poisson equation for induced vertical electrical field and Onsager's reciprocity relations between global fluxes (hydrodynamic and electric) and forces (horizontal pressure gradient and external electrical field). In addition, the two-scale approach provides macroscopic mobility coefficients in the Onsager relations. On this way, the cross-coupling kinetic coefficient is obtained in a form which does involves the &#950 -potential among the data provided the surface current is negligible. 展开更多
关键词 Electroosmosis two-scale HOMOGENIZATION CROSS-COUPLING COEFFICIENT
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夜视环境下红外与可见光图像真彩色快速融合方法研究
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作者 谢一博 程进 +2 位作者 周顺 侯劲尧 刘卫国 《激光与红外》 CAS CSCD 北大核心 2024年第1期136-147,共12页
为解决红外图像和可见光图像在夜视环境下成像效果不理想的问题,搭建一种由红外相机与RGB相机组合而成的具有结构简单、实时性高等特点的双目异型成像系统。利用双线程方式实时采集红外与可见光图像,针对非局部均值滤波(Non-Local Mean,... 为解决红外图像和可见光图像在夜视环境下成像效果不理想的问题,搭建一种由红外相机与RGB相机组合而成的具有结构简单、实时性高等特点的双目异型成像系统。利用双线程方式实时采集红外与可见光图像,针对非局部均值滤波(Non-Local Mean,NLM)提出了一种基于熵的自适应h求解方法,能够较好的消除红外图像的噪声;之后将红外图像与可见光图像的特征点匹配后,引入基于斜率一致性的方法进行图像配准,最后采用改进基础图像融合规则的双尺度融合算法(Two-scale Image Fusion,TIF)以及多种融合算法将红外与可见光图像进行融合,获得目标明显、信息丰富且真实色彩的(Infrared Radiation and RGB,IR-RGB)融合图像。TIF算法能够高效快速地将红外图像与可见光图像融合,在保留了可见光图像对周围环境的真实颜色信息特征的同时,又保留了红外图像温度提取的特点。分析数据可知,TIF算法的IR-RGB图像的熵值提升了约5.14%;其边缘强度均达到最大39.991、22.433、52.880;相比普通的像素级融合规则,该方法的运行速度提升了10倍的量级。该研究在夜视环境下通过红外与可见光的实时成像在目标识别和监测等实际应用中具有非常重要的意义。 展开更多
关键词 图像处理 成像系统 双尺度图像融合 互补信息 目标识别
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一种发射系下旋转弹的捷联惯导算法
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作者 陈旸 王君 +2 位作者 苏晓东 晏亮 管冬雪 《海军工程大学学报》 CAS 北大核心 2024年第3期97-102,共6页
为了提高旋转弹的姿态测量精度,提出了一种发射系下的旋转弹捷联导航算法。首先,推导了发射系导航更新方程;然后,利用传感器测量的前周期角速率对姿态更新算法进行优化,推导了基于角速率的旋转矢量更新算法及其算法误差;最后,采用陀螺... 为了提高旋转弹的姿态测量精度,提出了一种发射系下的旋转弹捷联导航算法。首先,推导了发射系导航更新方程;然后,利用传感器测量的前周期角速率对姿态更新算法进行优化,推导了基于角速率的旋转矢量更新算法及其算法误差;最后,采用陀螺仪标度因数的提升方法,实现了捷联惯导姿态测量精度有效的提高。通过对双子样、优化双子样算法在自旋运动条件下的数学仿真、基于转台的半实物仿真试验进行了验证。试验结果表明:在自旋机动条件下,相较于传统双子样算法,基于发射系的旋转弹捷联导航算法具有更高的精度,验证了算法在工程应用实现的正确性和有效性。 展开更多
关键词 旋转弹 优化双子样算法 发射系 标度因数提升
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Acid-rock reaction kinetics in a two-scale model based on reaction order correction
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作者 Xue-Song Li Ning Qi +3 位作者 Ze-Hui Zhang Lian Liu Xia-Qing Li Xu-Hang Su 《Petroleum Science》 SCIE EI CAS 2024年第3期2089-2101,共13页
The reaction order plays a crucial role in evaluating the response rate of acid-rock.However,the conventional two-scale model typically assumes that the reaction order is constant as one,which can lead to significant ... The reaction order plays a crucial role in evaluating the response rate of acid-rock.However,the conventional two-scale model typically assumes that the reaction order is constant as one,which can lead to significant deviations from reality.To address this issue,this study proposes a novel multi-order dynamic model for acid-rock reaction by combining rotating disk experimental data with theoretical derivation.Through numerical simulations,this model allows for the investigation of the impact of acidification conditions on different orders of reaction,thereby providing valuable insights for on-site construction.The analysis reveals that higher response orders require higher optimal acid liquid flow rates,and lower optimal H+diffusion coefficients,and demonstrate no significant correlation with acid concentration.Consequently,it is recommended to increase the displacement and use high-viscosity acid for reservoirs with high calcite content,while reducing the displacement and using low-viscosity acid for reservoirs with high dolomite content. 展开更多
关键词 Reaction order two-scale model Wormhole propagation Carbonate rocks Numerical simulation
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