The Counter-Propagation Deduction (CPD) method suggested by the authors is a new one for analyzing electromagnetic (EM) field in stratified media. The mechanism or the method is briefly introduced, and the rield in a ...The Counter-Propagation Deduction (CPD) method suggested by the authors is a new one for analyzing electromagnetic (EM) field in stratified media. The mechanism or the method is briefly introduced, and the rield in a layered medium in the presence or slant incidence of a perpendicularly or parallelly polarized electric wave is investigated. Some illustrative examples show that the method is capable of providing the direct mathematic expressions of the fields in an arbitrary layer, and is convenient for numerical evaluation through an unified program, irrespective of the number of medium layers.展开更多
Molecular reconstruction is a rapid and reliable way to provide molecular detail of petroleum fractions,which is required in the kinetic modeling of petroleum conversation processes at the molecular level.In the typic...Molecular reconstruction is a rapid and reliable way to provide molecular detail of petroleum fractions,which is required in the kinetic modeling of petroleum conversation processes at the molecular level.In the typical stochastic reconstruction method,the estimation of properties of pseudo molecules that are generated by Monte Carlo sampling depends on the building of predefined molecular libraries,which is expensive and inaccessible for certain petroleum fractions.In this paper,a novel stochastic reconstruction strategy is proposed,which is based on a stratified library of structural descriptors.Properties of pseudo molecules generated in the novel strategy can be directly estimated by group contribution method in the condition of lacking predefined molecular libraries.In this strategy,the molecular building diagram comprises two steps.First,the ring structure is configured by determining the number of rings.Different from the length of chain adopted in the traditional stochastic reconstruction method,in the second step,number of structural descriptors(SDs)for binding site and chain were determined sequentially for the configuration of binding site and saturated acyclic hydrocarbon chain.These structural descriptors for binding site and chain were selected from group contribution methods.To count the number of partial overlapping sections between structural descriptors for chain,two supplementary structural descriptors were created.All possible saturated structures of hydrocarbon chains can be represented by structural descriptors at the scale of property estimation.This strategy separates the building of a predefined molecule library from the stochastic reconstruction process.The exact structures of pseudo molecules represented by structural descriptors in this work can be determined with sufficient chemical knowledge.Fifty naphtha samples are tested independently to demonstrate the performance of the proposed strategy and the results show that the estimated properties were close enough to the experimental values.This strategy will benefit the molecular management of petrochemical industries and therefore improve economic and environmental efficiencies.展开更多
The water quality grades of phosphate(PO4-P) and dissolved inorganic nitrogen(DIN) are integrated by spatial partitioning to fit the global and local semi-variograms of these nutrients. Leave-one-out cross validation ...The water quality grades of phosphate(PO4-P) and dissolved inorganic nitrogen(DIN) are integrated by spatial partitioning to fit the global and local semi-variograms of these nutrients. Leave-one-out cross validation is used to determine the statistical inference method. To minimize absolute average errors and error mean squares,stratified Kriging(SK) interpolation is applied to DIN and ordinary Kriging(OK) interpolation is applied to PO4-P.Ten percent of the sites is adjusted by considering their impact on the change in deviations in DIN and PO4-P interpolation and the resultant effect on areas with different water quality grades. Thus, seven redundant historical sites are removed. Seven historical sites are distributed in areas with water quality poorer than Grade IV at the north and south branches of the Changjiang(Yangtze River) Estuary and at the coastal region north of the Hangzhou Bay. Numerous sites are installed in these regions. The contents of various elements in the waters are not remarkably changed, and the waters are mixed well. Seven sites that have been optimized and removed are set to water with quality Grades III and IV. Optimization and adjustment of unrestricted areas show that the optimized and adjusted sites are mainly distributed in regions where the water quality grade undergoes transition.Therefore, key sites for adjustment and optimization are located at the boundaries of areas with different water quality grades and seawater.展开更多
Perturbation analysis and scale expansion are used to derive the(2+1)-dimensional coupled nonlinear Schr¨odinger(CNLS)equations that can describe interactions of two Rossby waves propagating in stratified fluids....Perturbation analysis and scale expansion are used to derive the(2+1)-dimensional coupled nonlinear Schr¨odinger(CNLS)equations that can describe interactions of two Rossby waves propagating in stratified fluids.The(2+1)-dimensional equations can reflect and describe the wave propagation more intuitively and accurately.The properties of the two waves in the process of propagation can be analyzed by the solution obtained from the equations using the Hirota bilinear method,and the influence factors of modulational instability are analyzed.The results suggest that,when two Rossby waves with slightly different wave numbers propagate in the stratified fluids,the intensity of bright soliton decreases with the increases of dark soliton coefficients.In addition,the size of modulational instable area is related to the amplitude and wave number in y direction.展开更多
Stably stratified flows over a two-dimensional hill are investigated in a channel of finite depth using a three-dimensional direct numerical simulation (DNS). The present study follows onto our previous two-dimensiona...Stably stratified flows over a two-dimensional hill are investigated in a channel of finite depth using a three-dimensional direct numerical simulation (DNS). The present study follows onto our previous two-dimensional DNS studies of stably stratified flows over a hill in a channel of finite depth and provides a more realistic simulation of atmospheric flows than our previous studies. A hill with a constant cross-section in the spanwise (y) direction is placed in a 3-D computational domain. As in the previous 2-D simulations, to avoid the effect of the ground boundary layer that develops upstream of the hill, no-slip conditions are imposed only on the hill surface and the surface downstream of the hill;slip conditions are imposed on the surface upstream of the hill. The simulated 3-D flows are discussed by comparing them to the simulated 2-D flows with a focus on the effect of the stable stratification on the non-periodic separation and reattachment of the flow behind the hill. In neutral (K = 0, where K is a non-dimensional stability parameter) and weakly stable (K = 0.8) conditions, 3-D flows over a hill differ clearly from 2-D flows over a hill mainly because of the three-dimensionality of the flow, that is the development of a spanwise flow component in the 3-D flows. In highly stable conditions (K = 1, 1.3), long-wavelength lee waves develop downstream of the hill in both 2-D and 3-D flows, and the behaviors of the 2-D and 3-D flows are similar in the vicinity of the hill. In other words, the spanwise component of the 3-D flows is strongly suppressed in highly stable conditions, and the flow in the vicinity of the hill becomes approximately two-dimensional in the x and z directions.展开更多
The evaluation of education in the training process is important for students, and its importance is at the level of students and thecorresponding level of evaluation. Understanding the guidance and training of the mi...The evaluation of education in the training process is important for students, and its importance is at the level of students and thecorresponding level of evaluation. Understanding the guidance and training of the middle school football team is an important partof rapidly improving the level of Chinese football. It is necessary to adapt to the development characteristics of middle schoolstudents and conduct reasonable guidance training. Plans must be strengthened to implement training programs. On the trainingschedule, we must balance learning and training, and must fully consider the growth of students. As part of a layered education,stratified evaluation has the unique advantages of basic education and secondary education. The evaluation of the students whofocus on various levels of learning. Football coaching and training requires a full display of the student's personality. The teacher'sstratified evaluation method is very important for improving students' confidence in learning, enhancing students' enthusiasm forfootball training, and promoting students' continuous improvement. This study takes the application of stratified evaluation in theteaching and training of middle school football as the research direction, and puts forward reasonable suggestions by analyzing thetraining cases of the layered evaluation.展开更多
Calculations of the ElectroMagnetic(EM) response produced by a large horizontal loop placed over layered medium are rather complex because its integral expression contains the product of two Bessel functions and has a...Calculations of the ElectroMagnetic(EM) response produced by a large horizontal loop placed over layered medium are rather complex because its integral expression contains the product of two Bessel functions and has a divergent term. In this paper, an improved fast Hankel and Gaver-Stehfest transforms are introduced to solve the strong-oscillation and slow-decay properties of the integrand, where one Bessel function in the product is substituted by a carefully chosen polynomial of high accuracy and the other used as the digital filter coefficients in the convolution integral. Comparisons prove the validity and the efficiency of the proposed method.展开更多
This study investigated the failure mechanism associated with the rock mass structure and the dynamic fragmentation process of blocky rocks of the 2018 Daanshan rockslide that occurred on 11 August,2018.It was found t...This study investigated the failure mechanism associated with the rock mass structure and the dynamic fragmentation process of blocky rocks of the 2018 Daanshan rockslide that occurred on 11 August,2018.It was found that the initially collapsed rock of this rockslide was partitioned along the unconformity and strata interfaces.We analyzed how the unique rock mass structure,coupled with the road cut and the antecedent rainfall,jointly resulted in its failure.Based on the rock types and geological structures,the initial stratified configuration of a discrete element model was setup to reveal the influences of the local structure.The numerical model was divided into three parts.Part 1 is the basalt of the Nandaling Formation,the normal and shear stiffnesses of the basalt particles are set as 80 MPa and 40 MPa.Parts 2 and 3 are the sandstones interbedded with mudstone and sandstone of the Shihezi Formation,and the normal and shear stiffnesses of these parts were set as 6 MPa and 10 MPa,respectively.The dynamic process of the rockslide,particularly the rock fragmentation process,was numerically analyzed using a 3D discrete element method.The numerical results were compared with real-time videos and field investigations.The results show that the rock fragmentation and the final deposition range match well with the real disaster phenomenon,and the calculation accuracy of the rockslide reaches 82.41%.Moreover,a parameter sensitivity analysis was conducted,and classical uniform models under different bonding forces were established;the stratified model can better restore the true state of the fragmentation,movement,and deposition processes of rockslides.Therefore,for complicated rocks with significant differences in lithology,clarifying the rock mass stratigraphy is essential for an accurate reconstruction of the dynamic process of rockslides.展开更多
Due to its own internal laws of development,Chinese medicine(CM)seems more inclined to empirical medicine in a relatively long historical period.It is considered to be lacking objective and unified clinical practice g...Due to its own internal laws of development,Chinese medicine(CM)seems more inclined to empirical medicine in a relatively long historical period.It is considered to be lacking objective and unified clinical practice guidelines(CPGs),and the difficulties in diagnosis and therapeutic effect evaluation comes with it,have restricted its further inheritance,development and international communication.Over the years,our research group has been committed to improving the standardization theory and methodology of CM,also perfecting relative techniques for further application,which are all based on the stratified evidence scoring method.We have already applied this method to 45 issued guidelines,including 5 national guidelines,3 industrial guidelines,and 37 formulation/revision social organization guidelines.The stratified evidence scoring method has been recognized and used widely.It helps scholars and applicators to study,formulate,publish and popularize the acupuncture therapy clinical practice guidelines better,thus further promotes the development of acupuncture therapy.展开更多
Combining the advantages of the stratified sampling and the importance sampling,a stratified importance sampling metho(SISM) is presented to analyze the reliability sensitivity for structure with multiple failure mode...Combining the advantages of the stratified sampling and the importance sampling,a stratified importance sampling metho(SISM) is presented to analyze the reliability sensitivity for structure with multiple failure modes.In the presented method,th variable space is divided into several disjoint subspace by n-dimensional coordinate planes at the mean point of the random vec tor,and the importance sampling functions in the subspaces are constructed by keeping the sampling center at the mean poin and augmenting the standard deviation by a factor of λ.The sample size generated from the importance sampling function i each subspace is determined by the contribution of the subspace to the reliability sensitivity,which can be estimated by iterativ simulation in the sampling process.The formulae of the reliability sensitivity estimation,the variance and the coefficient o variation are derived for the presented SISM.Comparing with the Monte Carlo method,the stratified sampling method and th importance sampling method,the presented SISM has wider applicability and higher calculation efficiency,which i demonstrated by numerical examples.Finally,the reliability sensitivity analysis of flap structure is illustrated that the SISM ca be applied to engineering structure.展开更多
A matrix-exponent method is proposed to treat wave radiation and propagation in aniotropic stratified media. By using matrix-exponent formulations, the present method is elegant for expressions and reliable for comput...A matrix-exponent method is proposed to treat wave radiation and propagation in aniotropic stratified media. By using matrix-exponent formulations, the present method is elegant for expressions and reliable for computations. As an example, the method is used to calculate the ELF excitation of the Earth-ionosphere waveguide by an equivalent dipole resulting from heating the lower ionosphere with modulated HF waves.展开更多
文摘The Counter-Propagation Deduction (CPD) method suggested by the authors is a new one for analyzing electromagnetic (EM) field in stratified media. The mechanism or the method is briefly introduced, and the rield in a layered medium in the presence or slant incidence of a perpendicularly or parallelly polarized electric wave is investigated. Some illustrative examples show that the method is capable of providing the direct mathematic expressions of the fields in an arbitrary layer, and is convenient for numerical evaluation through an unified program, irrespective of the number of medium layers.
基金the support of International(Regional)Cooperation and Exchange Project(61720106008)National Natural Science Fund for Distinguished Young Scholars(61925305)National Natural Science Foundation of China(61873093)。
文摘Molecular reconstruction is a rapid and reliable way to provide molecular detail of petroleum fractions,which is required in the kinetic modeling of petroleum conversation processes at the molecular level.In the typical stochastic reconstruction method,the estimation of properties of pseudo molecules that are generated by Monte Carlo sampling depends on the building of predefined molecular libraries,which is expensive and inaccessible for certain petroleum fractions.In this paper,a novel stochastic reconstruction strategy is proposed,which is based on a stratified library of structural descriptors.Properties of pseudo molecules generated in the novel strategy can be directly estimated by group contribution method in the condition of lacking predefined molecular libraries.In this strategy,the molecular building diagram comprises two steps.First,the ring structure is configured by determining the number of rings.Different from the length of chain adopted in the traditional stochastic reconstruction method,in the second step,number of structural descriptors(SDs)for binding site and chain were determined sequentially for the configuration of binding site and saturated acyclic hydrocarbon chain.These structural descriptors for binding site and chain were selected from group contribution methods.To count the number of partial overlapping sections between structural descriptors for chain,two supplementary structural descriptors were created.All possible saturated structures of hydrocarbon chains can be represented by structural descriptors at the scale of property estimation.This strategy separates the building of a predefined molecule library from the stochastic reconstruction process.The exact structures of pseudo molecules represented by structural descriptors in this work can be determined with sufficient chemical knowledge.Fifty naphtha samples are tested independently to demonstrate the performance of the proposed strategy and the results show that the estimated properties were close enough to the experimental values.This strategy will benefit the molecular management of petrochemical industries and therefore improve economic and environmental efficiencies.
基金The National Natural Science Fundation of China under contract Nos 41376190,41271404,41531179,41421001 and41601425the Open Funds of the Key Laboratory of Integrated Monitoring and Applied Technologies for Marin Harmful Algal Blooms,SOA under contract No.MATHA201120204+1 种基金the Scientific Research Project of Shanghai Marine Bureau under contract No.Hu Hai Ke2016-05the Ocean Public Welfare Scientific Research Project,State Oceanic Administration of the People's Republic of China under contract Nos 201305027 and 201505008
文摘The water quality grades of phosphate(PO4-P) and dissolved inorganic nitrogen(DIN) are integrated by spatial partitioning to fit the global and local semi-variograms of these nutrients. Leave-one-out cross validation is used to determine the statistical inference method. To minimize absolute average errors and error mean squares,stratified Kriging(SK) interpolation is applied to DIN and ordinary Kriging(OK) interpolation is applied to PO4-P.Ten percent of the sites is adjusted by considering their impact on the change in deviations in DIN and PO4-P interpolation and the resultant effect on areas with different water quality grades. Thus, seven redundant historical sites are removed. Seven historical sites are distributed in areas with water quality poorer than Grade IV at the north and south branches of the Changjiang(Yangtze River) Estuary and at the coastal region north of the Hangzhou Bay. Numerous sites are installed in these regions. The contents of various elements in the waters are not remarkably changed, and the waters are mixed well. Seven sites that have been optimized and removed are set to water with quality Grades III and IV. Optimization and adjustment of unrestricted areas show that the optimized and adjusted sites are mainly distributed in regions where the water quality grade undergoes transition.Therefore, key sites for adjustment and optimization are located at the boundaries of areas with different water quality grades and seawater.
基金the National Natural Science Foundation of China(Grant No.11805114)the Shandong University of Science and Technology Research Fund(Grant No.2018TDJH101)。
文摘Perturbation analysis and scale expansion are used to derive the(2+1)-dimensional coupled nonlinear Schr¨odinger(CNLS)equations that can describe interactions of two Rossby waves propagating in stratified fluids.The(2+1)-dimensional equations can reflect and describe the wave propagation more intuitively and accurately.The properties of the two waves in the process of propagation can be analyzed by the solution obtained from the equations using the Hirota bilinear method,and the influence factors of modulational instability are analyzed.The results suggest that,when two Rossby waves with slightly different wave numbers propagate in the stratified fluids,the intensity of bright soliton decreases with the increases of dark soliton coefficients.In addition,the size of modulational instable area is related to the amplitude and wave number in y direction.
文摘Stably stratified flows over a two-dimensional hill are investigated in a channel of finite depth using a three-dimensional direct numerical simulation (DNS). The present study follows onto our previous two-dimensional DNS studies of stably stratified flows over a hill in a channel of finite depth and provides a more realistic simulation of atmospheric flows than our previous studies. A hill with a constant cross-section in the spanwise (y) direction is placed in a 3-D computational domain. As in the previous 2-D simulations, to avoid the effect of the ground boundary layer that develops upstream of the hill, no-slip conditions are imposed only on the hill surface and the surface downstream of the hill;slip conditions are imposed on the surface upstream of the hill. The simulated 3-D flows are discussed by comparing them to the simulated 2-D flows with a focus on the effect of the stable stratification on the non-periodic separation and reattachment of the flow behind the hill. In neutral (K = 0, where K is a non-dimensional stability parameter) and weakly stable (K = 0.8) conditions, 3-D flows over a hill differ clearly from 2-D flows over a hill mainly because of the three-dimensionality of the flow, that is the development of a spanwise flow component in the 3-D flows. In highly stable conditions (K = 1, 1.3), long-wavelength lee waves develop downstream of the hill in both 2-D and 3-D flows, and the behaviors of the 2-D and 3-D flows are similar in the vicinity of the hill. In other words, the spanwise component of the 3-D flows is strongly suppressed in highly stable conditions, and the flow in the vicinity of the hill becomes approximately two-dimensional in the x and z directions.
文摘The evaluation of education in the training process is important for students, and its importance is at the level of students and thecorresponding level of evaluation. Understanding the guidance and training of the middle school football team is an important partof rapidly improving the level of Chinese football. It is necessary to adapt to the development characteristics of middle schoolstudents and conduct reasonable guidance training. Plans must be strengthened to implement training programs. On the trainingschedule, we must balance learning and training, and must fully consider the growth of students. As part of a layered education,stratified evaluation has the unique advantages of basic education and secondary education. The evaluation of the students whofocus on various levels of learning. Football coaching and training requires a full display of the student's personality. The teacher'sstratified evaluation method is very important for improving students' confidence in learning, enhancing students' enthusiasm forfootball training, and promoting students' continuous improvement. This study takes the application of stratified evaluation in theteaching and training of middle school football as the research direction, and puts forward reasonable suggestions by analyzing thetraining cases of the layered evaluation.
基金Supported by Chinese Government SinoProbe Plan(No.SinoProbe-09-02)R&D of Key Instruments and Technologies for Deep Resources Prospecting(No.ZDYZ 2012-1-03)
文摘Calculations of the ElectroMagnetic(EM) response produced by a large horizontal loop placed over layered medium are rather complex because its integral expression contains the product of two Bessel functions and has a divergent term. In this paper, an improved fast Hankel and Gaver-Stehfest transforms are introduced to solve the strong-oscillation and slow-decay properties of the integrand, where one Bessel function in the product is substituted by a carefully chosen polynomial of high accuracy and the other used as the digital filter coefficients in the convolution integral. Comparisons prove the validity and the efficiency of the proposed method.
基金funded by the Strategic Priority Research Program of CAS(Grant No.XDA23090303)the NSFC(Grant No.42022054)+1 种基金Sichuan Science and Technology Program(Grant No.2022YFS0543)the Science Foundation for Distinguished Young Scholars of Sichuan Province(Grant No.2020JDJQ0044)State Key Laboratory of Geohazard Prevention and Geoenvironment Protection Independent Research Project(SKLGP2019Z013).
文摘This study investigated the failure mechanism associated with the rock mass structure and the dynamic fragmentation process of blocky rocks of the 2018 Daanshan rockslide that occurred on 11 August,2018.It was found that the initially collapsed rock of this rockslide was partitioned along the unconformity and strata interfaces.We analyzed how the unique rock mass structure,coupled with the road cut and the antecedent rainfall,jointly resulted in its failure.Based on the rock types and geological structures,the initial stratified configuration of a discrete element model was setup to reveal the influences of the local structure.The numerical model was divided into three parts.Part 1 is the basalt of the Nandaling Formation,the normal and shear stiffnesses of the basalt particles are set as 80 MPa and 40 MPa.Parts 2 and 3 are the sandstones interbedded with mudstone and sandstone of the Shihezi Formation,and the normal and shear stiffnesses of these parts were set as 6 MPa and 10 MPa,respectively.The dynamic process of the rockslide,particularly the rock fragmentation process,was numerically analyzed using a 3D discrete element method.The numerical results were compared with real-time videos and field investigations.The results show that the rock fragmentation and the final deposition range match well with the real disaster phenomenon,and the calculation accuracy of the rockslide reaches 82.41%.Moreover,a parameter sensitivity analysis was conducted,and classical uniform models under different bonding forces were established;the stratified model can better restore the true state of the fragmentation,movement,and deposition processes of rockslides.Therefore,for complicated rocks with significant differences in lithology,clarifying the rock mass stratigraphy is essential for an accurate reconstruction of the dynamic process of rockslides.
基金Supported by National Basic Research Program of China(No.2014CB543201)。
文摘Due to its own internal laws of development,Chinese medicine(CM)seems more inclined to empirical medicine in a relatively long historical period.It is considered to be lacking objective and unified clinical practice guidelines(CPGs),and the difficulties in diagnosis and therapeutic effect evaluation comes with it,have restricted its further inheritance,development and international communication.Over the years,our research group has been committed to improving the standardization theory and methodology of CM,also perfecting relative techniques for further application,which are all based on the stratified evidence scoring method.We have already applied this method to 45 issued guidelines,including 5 national guidelines,3 industrial guidelines,and 37 formulation/revision social organization guidelines.The stratified evidence scoring method has been recognized and used widely.It helps scholars and applicators to study,formulate,publish and popularize the acupuncture therapy clinical practice guidelines better,thus further promotes the development of acupuncture therapy.
基金National Natural Science Foundation of China (10572117,10802063,50875213)Aeronautical Science Foundation of China (2007ZA53012)+1 种基金New Century Program For Excellent Talents of Ministry of Education of China (NCET-05-0868)National High-tech Research and Development Program (2007AA04Z401)
文摘Combining the advantages of the stratified sampling and the importance sampling,a stratified importance sampling metho(SISM) is presented to analyze the reliability sensitivity for structure with multiple failure modes.In the presented method,th variable space is divided into several disjoint subspace by n-dimensional coordinate planes at the mean point of the random vec tor,and the importance sampling functions in the subspaces are constructed by keeping the sampling center at the mean poin and augmenting the standard deviation by a factor of λ.The sample size generated from the importance sampling function i each subspace is determined by the contribution of the subspace to the reliability sensitivity,which can be estimated by iterativ simulation in the sampling process.The formulae of the reliability sensitivity estimation,the variance and the coefficient o variation are derived for the presented SISM.Comparing with the Monte Carlo method,the stratified sampling method and th importance sampling method,the presented SISM has wider applicability and higher calculation efficiency,which i demonstrated by numerical examples.Finally,the reliability sensitivity analysis of flap structure is illustrated that the SISM ca be applied to engineering structure.
基金Project supported by the National Natural Science Foundation of China (Grant No. 69171005).
文摘A matrix-exponent method is proposed to treat wave radiation and propagation in aniotropic stratified media. By using matrix-exponent formulations, the present method is elegant for expressions and reliable for computations. As an example, the method is used to calculate the ELF excitation of the Earth-ionosphere waveguide by an equivalent dipole resulting from heating the lower ionosphere with modulated HF waves.