一类非线性Volterra积分不等式

本文简要讨论Gronwall不等式的研究进展,并给出关于如下的一类非线性Volterra积分不等式的一个结果：w(u(t))≤g(t))+∑_i=1ⁿ∫_αi(t0)^α_i(t)f_i(t,s)∏_j=1^mH_ij(u(s))G_ij(max_s-h≤ξ≤s u (ξ))ds.     

风场变形误差对冬季降雪测量及其趋势估算的影响

利用71个气象站1960～2009年共50年的冬季逐日降水、风速和天气现象资料, 以及3个站降水对比观测试验数据, 对东北地区降雪测量记录的风场变形误差进行了评价和订正, 并在此基础上分析了风场变形误差对研究区降雪量变化趋势估算结果的影响。结果如下:1)东北地区冬季降雪量台站观测记录普遍被低估, 全区观测的冬季平均降雪量为15.1 mm, 而风场变形误差订正后冬季平均降雪量为22.5 mm。各站绝对误差介于1.1～19.4 mm, 平均绝对误差为7.5 mm, 各站相对误差介于11.8%～50.8%, 平均相对误差为34.1%。2)主要由于受气象台站观测环境改变导致的风速减弱现象影响, 东北地区大部分台站雨量计对降雪的捕获率有所增加, 冬季降水观测中的风场变形误差减小, 引起实测的降雪量变化趋势估算值被高估。风场变形误差订正前, 东北地区近50年的冬季降雪量变化趋势为0.4 mm·(10 a)^-1, 而风场变形误差订正后, 冬季降雪量变化趋势为0.1 mm·(10 a)^-1。3)东北南部地区台站受风场变形误差影响尤其明显, 冬季实测的降雪量变化趋势偏高更大, 订正后和订正前趋势差值为-1 mm·(10 a)^-1, 即订正前冬季降雪量变化趋势被高估程度达到了64.3%。     

二阶奇异动力系统的非平凡周期解

应用Leray-Schauder非线性二择一原理研究二阶动力系统x+k²x=f(t,x)+e(t)非平凡周期解的存在性,其中0<k<π/T,f∈C((R/TZ)×R^N\{0},R^N)在原点具有排斥的奇性.不需要任何的强制性条件,既可以处理强奇性,也可以处理弱奇性.     

江淮之间夏季雨滴谱特征分析

分析了2011—2013年夏季(6—8月)滁州地基雨滴谱观测资料,根据雨强及其随时间的变化将降水分成对流降水和层云降水,分析不同降水类型的雨滴谱特征。结果表明:滁州地区对流降水的质量加权直径D_m和标准化参数lgN_w的平均值分别为1.67 mm和3.91 mm^-1·m^-3,层云降水D_m和lgN_w的平均值分别为1.18 mm和3.57 mm^-1·m^-3,对流降水雨滴平均尺度更大。N_w相比Γ分布参数N₀能更好地反映总数浓度N_t的大小。Γ分布3参数均随雨强的增大而减小,当雨强增长到一定程度时,μ(谱型)和Λ(斜率)趋于常数。研究了μ-Λ关系和Z(反射率因子)-R(雨强)关系。对流降水和层云降水的Z-R关系分别为Z=408R^1.20和Z=301R^1.21。新的Z-R关系和经典Z-R关系(Z=300R^1.40)反演的雨强相比实际观测值均偏小,但新的Z-R关系反演的雨强与实际观测值更接近。     

山东暖区暴雨对流特性和环境参量的统计分析

利用2014-2018年5-9月间山东大监站逐日降水资料、Micaps常规资料以及NCEP再分析资料等,将山东暖区暴雨分为锋前型、暖切变型、副高边缘型和急流型4大类,并对山东暖区暴雨的垂直结构、对流特性以及环境参量特征进行统计。主要结论为：(1)山东暖区暴雨的低空风场主要以西南风或东南风为主,且整层风场随高度顺转。高湿区主要集中在对流层中低层。大气的自由对流高度和云底高度较低,湿层和暖云层深厚,其中急流型湿层和暖云层最为深厚。(2)山东暖区暴雨发生时,K≥30.5℃, 0.72≥SI≥-6.87,假相当位温≥334K,垂直锋区的北界位于37-39°N之间,暴雨落区位于锋区北界南侧2-3个纬距范围内。(3)暖区暴雨上空辐合中心平均值为-3×10^-5 s^-1,辐合中心均出现在700hPa以下；垂直速度中心的平均值为-1.1×10^-5 hPa.s^-1,大值中心出现在对流层中低层；涡度中心的平均值为5×10^-5 s^-1,正涡度主要在低层,且随高度的增加而减小；q925≥16g.kg^-1,q850≥12g.kg^-1,q700≥9g.kg^-1,暖区暴雨的水汽输送主要集中在低层,水汽通量散度平均值,850 hPa是-2.3×10^-6 g.cm^-2.hPa^-1.s^-1, 700 hPa 为-1.2×10^-6 g.cm^-2.hPa^-1.s^-1。     

利用LAP-3000型风廓线雷达资料对深圳地区湍流耗散率特征的研究

利用2010年1-2月深圳LAP3000型风廓线雷达资料, 对湍流耗散率进行了估算, 针对典型晴天条件下的湍流耗散率ε、折射率结构常数C₂ⁿ、水平风速和风切变, 分析了其时空变化特征。得出如下结论: (1) 深圳地区低空大气ε的量级在10^-7~10^-1 m^-2·s^-3之间, 与理论模拟值基本一致; (2) 时间分布特征为, 2 km以下ε有很明显的日变化特征, 夜晚和上午ε较大, 下午及傍晚减少;(3) 空间分布特征表现为, ε随高度大致呈递减分布;ε量级达10^-2.5 m²·s^-3所在高度可作为深圳地区2010年1月14-15日边界层顶高度的判断依据。     

阿拉腾敖包风场风能资源分析与评估

选用杭锦旗1977—2006年各年逐月平均风速资料、2006年1—12月逐时风向、成速资料、2006年1一12月阿拉腾敖包测风塔逐时风向、风速资料，采用统计分析方法，对阿拉腾敖包风场风速和风功率密度、风速频率和风能频率分布、风向频率及风能密度方向分布、有效风能时数进行计算分析，得出阿拉腾敖包风场风能资源评价；给出了综合评估意见：该风场10m高度年平均风速5.7m?s^-1年风功率密度为147. 19W?m^－2; 60m高度年平均风速7.3m?s^-1,年风功率密度为336.65W?m^－2; 70m高度年平均风速7.6m.s^-1，年有效风速（3～25m?s^-1)时数为8410小时，年风功率密度为380.45W? m^－270m高度年主导风向为WNW风，春、秋和冬三季主导风向均为W风，因而风向较为稳定。年内春季风速较大，秋、冬季次之，而夏季最小。据初步测算，该风能区风能总储量约为152MW.     

基于CMIP6多模式集合的未来中国风功率预估

实现我国2060年“碳中和”目标,需要大力发展包括风能在内的清洁能源,然而气候变化给未来风资源利用带来较大的不确定性。本文利用人工神经网络(Artificial Neural Network,ANN)算法对16个CMIP6气候模式风速数据进行逐一订正,在此基础上预估21世纪30、60年代以及21世纪末这3个不同年代在低(SSP1-2.6)和高(SSP5-8.5)排放情景下中国风功率较当代的变化。结果表明,ANN算法使CMIP6气候模式均方根误差平均降低(39.93％±9.57％),并使多模式集合平均与观测的相关系数从0.56增加到0.83,更好地再现了中国当代风速的空间分布和季节变化。在此基础上,预估的21世纪60年代(2050—2064年)风功率密度在两种情景下分别减少了(1.01±0.94) W·m^-2(2.62％±2.27％)和(1.11±1.45) W·m^-2(1.90％±2.51％)。时间上,春季作为风能密度最大的季节,两种排放情景下风功率分别减少了(1.16±1.14) W·m^-2和(1.43±1.58) W·m^-2。空间上,中国东南部风功率密度在SSP1-2.6情景下降(0.56±0.53) W·m^-2,而SSP5-8.5情景下上升(0.40±0.29) W·m^-2。近期(2025—2039年)全国平均风功率密度在两种情景下分别减少了(0.52±0.83) W·m^-2和(0.54±1.02) W·m^-2,而长期(2085—2099年)风功率密度分别减小了(0.98±1.17) W·m^-2和(1.83±1.17) W·m^-2。利用极度梯度提升(XGB)算法订正CMIP6数据的预估变化量级偏小但趋势一致,表明随着全球变暖幅度的增加,我国风功率降低的趋势将更加显著。     

一次寒潮降温过程的等熵位涡和热力学分析

通过等熵位涡和热力学能量方程的各项诊断对2018年1月上旬我国东部一次寒潮天气过程进行分析,重点给出垂直运动在寒潮降温中的作用。结果表明：此次寒潮天气过程主要受蒙古国南部的横槽转竖影响,巴尔喀什湖东部和西伯利亚地区及其北部为引起这次寒潮的主要冷空气源地。欧亚大陆北部和极区对流层高层和平流层低层的高位涡强冷空气沿着等熵面向南向下平流,引导强冷空气侵袭我国东部。等熵位涡大值区的东侧对应上升运动区,有利于降水的产生。寒潮期间风场平流引起的850 hPa强降温区主要位于东南沿海地区,降温幅度最高可达6×10^-4 K·s^-1,而东北地区在整个寒潮期间冷平流强度较弱,最大降温幅度仅约为1×10^-4 K·s^-1。通过计算东南沿海和东北地区区域平均风场平流和垂直运动引起850 hPa温度变化,得出寒潮期间两地的温度总降幅约为1×10^-4 K·s^-1。东南沿海地区的寒潮主要由风场的冷平流引起,而东北地区则是由冷平流和垂直上升运动的共同作用引起。垂直方向上,东北地区冷空气能影响的高度要远高于东南沿海地区。     

2014—2019年北京和南京地区PM2.5和臭氧质量浓度相关性研究

自2014年以来,中国细颗粒物（PM_2.5）浓度大幅度下降,但臭氧（O₃）浓度逐年缓慢上升,厘清PM_2.5和O₃（P-O）相关性尤为关键.在本研究中,2014—2019年北京和南京PM_2.5年均质量浓度下降幅度分别为-6.86和-6.15 μg·m^-3·a^-1;而日最大8小时平均O₃质量浓度（MDA8 O₃）年均增长幅度为1.50和1.75 μg·m^-3·a^-1.研究期间,北京地区MDA8 O₃质量浓度小于100 μg·m^-3,P-O呈负相关;而当质量浓度大于100 μg·m^-3时,P-O为正相关.通过Pearson相关系数研究P-O两者相关性.在两个城市每月相关性分析中,在每日时间尺度5—9月为强的正相关;而小时时间尺度11月至次年2月趋于负相关.在北京,P-O每月和季节相关性变化大于南京.在日变化中,夏季在16时为强的正相关,春秋两季在13—17时为弱的正相关,而在春、秋和冬季8时,却为强的负相关.     

精细PBL模式及其诊断应用

在已建立的一种三维非静力细网格Ｅ－ε湍能闭合的动力学框架基础上,作了一些改进的技术处理和试验,包括：（１）利用ＧＩＳ提供的地形资料,较精确地计算太阳辐射,进而诊断地面温度;（２）引进位势流概念,处理稳定层结条件下初始内插风场的风向变化;（３）引入动力学调整项Ｇ（αｏｂｓ－α）。在此基础上,就地理信息系统（ＧＩＳ）提供的一个 ６０ｋｍ×４８ｋｍ区域作了边界层结构和湍流特征的数值模拟试验,并与实测作了比较,讨论了精细ＰＢＬ模式的模拟效果,结果表明,新建的ＰＢＬ模式能较好地模拟表征出复杂下垫面地域的陡峭地形和不规则海岸线对局地风场和湍流场的动力和热力学作用。     

应用MM5模式对地面大风过程的模拟试验

用MM5模式对2 0 0 1年4月1 7～1 9日、5月1 2～1 5日辽宁省出现的大风过程进行了模拟,并与1 3个代表点的气象观测站资料或野外风电场测风资料作了对比。结果表明:模式能较好地模拟区域风场的演变和分布特征;对逐时风速的模拟与实况有一定差异,但模拟值与实况变化比较同步,基本反映出单点风速变化的趋势;对瞬时风速大于1 0m·s-1和平均风速大于9 0m·s-1的模拟明显偏小。模拟试验初步说明,MM5模式对区域地面风场形势、单点风速随时间变化特征的模拟较好,但可能减弱大风的实际强度。     

Latitudinal variation of measured O3 photolysis frequencies J(O1D) and primary OH production rates over the Atlantic Ocean between 50° N and 30° S

The latitudinal variation of the photolysis frequency of ozone to O(¹D) atoms, J(O¹D), was measured using a filter radiometer during the cruise ANT VII/1 of the research vessel Polarstern in September/October 1988. The J(O¹D) noon values exhibited a maximum of 3.6×10^-5 s^-1 (2 sr) at the equator and decreased strongly towards higher latitudes. J(O¹D) reached highest values for clean marine background air with low aerosol load and almost cloudless sky. The J(O¹D) data, measured under these conditions and a temperature of 295 K, can be expressed by: % MathType!MTEF!2!1!+-% feaafiart1ev1aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn% hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr% 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq-Jc9% vqaqpepm0xbba9pwe9Q8fs0-yqaqpepae9pg0FirpepeKkFr0xfr-x% fr-xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaGaamOsaiaacI% cacaqGpbWaaWbaaSqabeaaiiaacqWF8baFaaGccaqGebGaaeykaiaa% bccacqWF9aqpcaqGGaGaaeyzaiaabIhacaqGWbGaaeiiaiaabUhacq% GHsislcaaI4aGaaiOlaiaaicdacaaIYaGaeyOeI0IaaGioaiaac6ca% caaI4aGaaiiEaiaaigdacaaIWaWaaWbaaSqabeaacqGHsislcaaIZa% aaaOGaaeiiaiaabIhacaqGGaGaam4uaiabgUcaRiaaiodacaGGUaGa% aGinaiaacIhacaaIXaGaaGimamaaCaaaleqabaGaeyOeI0IaaGOnaa% aakiaadofadaahaaWcbeqaaiaaikdaaaGccaGG9bGaaeikaiaaboha% daahaaWcbeqaaiabgkHiTiaaigdaaaGccaGGPaaaaa!5EE9!\[J({\text{O}}^| {\text{D) }} = {\text{ exp \{ }} - 8.02 - 8.8x10^{ - 3} {\text{ x }}S + 3.4x10^{ - 6} S^2 \} {\text{(s}}^{ - 1} )\] where S represents the product of the overhead ozone column (DU) and the secant of the solar zenith angle. The meridional profile of the primary OH radical production rate P(OH) was calculated from the J(O¹D) measurements and simultaneously recorded O₃ and H₂O mixing ratios. While the latitudinal distribution of J(O¹D) and water vapour was nearly symmetric to the equator, high tropospheric ozone levels up to 40 ppb were observed in the Southern Hemisphere, SH, resulting in higher P(OH) in the SH.     

The prediction of dust erosion by wind: An interactive model

We have devised a partial differential equation for the prediction of dust concentration in a thin layer near the ground. In this equation, erosion (detachment), transport, deposition and source are parameterised in terms of known quantities. The interaction between a wind prediction model in the boundary layer and this equation affects the evolution of the dust concentration at the top of the surface layer. Numerical integrations are carried out for various values of source strength, ambient wind and particle size. Comparison with available data shows that the results appear very reasonable and that the model should be subjected to further development and testing.Notation (x, y, z, t) space co-ordinates and time (cm,t) - u, v components of horizontal wind speed (cm s^–1) - u _g, v_g components of the geostrophic wind (cm s^–1) - V=(u²+v²)^1/2 (cm s^–1) - (û v)= 1/(h – k) _k ^h(u, v)dz(cm s^–1) - V _* friction velocity (cm s^–1) - z ₀ roughness length (cm) - k ₁ von Karman constant =0.4 - V _d deposition velocity (cm s^–1) - V _g gravitational settling velocity (cm s^–1) - h height of inversion (cm) - k height of surface layer (cm) - potential temperature (°K) - _gr potential temperature at ground (°K) - _K potential temperature at top of surface layer (°K) - P pressure (mb) - P ₀ sfc pressure (mb) - C _p/C_v - (t)= /z lapse rate of potential temperature (°K cm^–1) - A(z) variation of wind with height in transition layer - B(z) variation of wind with height in transition layer - Cd drag coefficient - C _HO transfer coefficient for sensible heat - C dust concentration (g m^–3) - C _K dust concentration at top of surface layer (g m^–3) - D(z) variation with height of dust concentration - u, v, w turbulent fluctuations of the three velocity components (cm s^–1) - A ₁ constant coefficient of proportionality for heat flux =0.2 - Ri Richardson number - g gravitational acceleration =980 cm s^–2 - Re Reynolds number = - D _s thickness of laminar sub-layer (cm) - v molecular kinematic viscosity of air - coefficient of proportionality in source term - dummy variable - t time step (sec) - n time index in numerical equations On sabbatical leave at University of Aberdeen, Department of Engineering, September 1989–February 1990.     

CH4和N2O的辐射强迫与全球增温潜能

CH₄和N₂O作为主要温室气体,自工业革命以来排放量急剧增加,已经被列入《京都议定书》要求控制它们的排放。本文利用高光谱分辨率的辐射传输模式,计算了CH₄、N₂O在晴空大气和有云大气条件下的瞬时辐射效率和平流层调整的辐射效率,以及它们的全球增温潜能(GWP)和全球温变潜能(GTP),并根据模式结果拟合了CH₄和N₂O的辐射强迫的简单计算公式。本文的研究表明:CH₄和N₂O在有云大气下的平流层调整的辐射效率分别为4.142×10-4 W m-2 ppb-1和3.125×10-3 W m-2 ppb-1 (1ppb=10-9),经大气寿命调整后的辐射效率分别为3.732×10-4 W m-2 ppb-1和2.987×10-3 W m-2 ppb-1,与IPCC(2007)的相应结果高度一致。CH₄和N₂O 100年的全球增温潜能GWP分别为16和266;100年的脉冲排放的全球温变潜能GTPP分别为0.24和233;持续排放的全球温变潜能GTPS分别为18和268。它们在未来全球变暖和气候变化中,影响仅次于CO₂,仍然起着非常关键的作用。     

Flow reactor and triple quadrupole mass spectrometer investigations of negative ion reactions involving nitric acid: Implications for atmospheric HNO3 detection by chemical ionization mass spectrometry

Atmospheric nitric acid measurements by ACIMS (Active Chemical Ionization Mass Spectrometry) are based on ion-molecule reactions of CO₃ ^-(H₂O) _n and NO₃ ^-(H₂O) _n with HNO₃. We have studied these reactions in the laboratory using a flow tube apparatus with mass spectrometric detection of reactant and product ions. Both product ion distributions and rate coefficients were measured. All reactions were investigated in an N₂-buffer (1–3 hPa) at room temperature. The reaction rate coefficients of OH^-, O₂ ^-, O₃ ^-, CO₄ ^-, CO₃ ^-, CO₃ ^-H₂O, NO₃ ^-, and NO₃ ^-H₂O were measured relative to the known rate k=3.0×10^-9 cm³ s^-1 for the reaction of O^- with HNO₃. The main product ion of the reaction of CO₃ ^-H₂O with HNO₃ was found to be (CO₃HNO₃)^- supporting a previous suggestion made on the basis of balloon-borne ACIMS measurements. For the reaction of bare CO₃ ^- with HNO₃ three product ions were observed, namely NO₃ ^-, (NO₃OH)^-, and (CO₃HNO₃)^-. The reaction rate coefficients for CO₃ ^-H₂O (1.7×10^-9 cm³ s^-1) and NO₃ ^-H₂O (1.6×10^-9 cm³ s^-1) were found to be close to the collision rate. The measured k values for bare CO₃ ^- (1.3×10^-9 cm³ s^-1) and NO₃ ^- (0.7×10^-9 cm³ s^-1) are somewhat smaller. The collisional dissociations of CO₃ ^-(H₂O) _n , NO₃ ^-(H₂O) _n (n=1, 2), (CO₃HNO₃)^- and (NO₃HNO₃)^-, occasionally influencing ACIMS measurements, were also studied. Fragment ion distributions were measured using a triple quadrupole mass spectrometer. The results showed that previous stratospheric nitric acid measurements were unimpaired from collisional dissociation processes whereas these processes played a major role during previous tropospheric measurements leading to an underestimation of nitric acid concentrations. Previous ACIMS HNO₃ detection was also affected by the conversion of CO₃ ^-(H₂O) _n to NO₃ ^-(H₂O) _n due to ion source-produced neutral radicals. A novel ACIMS ion source was developed in order to avoid these problems and to improve the ACIMS method.     

Climatology of Shear Line and Related Rainstorm over the Southern Yangtze River Valley Based on an Improved Intelligent Identification Method

Based on four reanalysis datasets including CMA-RA, ERA5, ERA-Interim, and FNL, this paper proposes an improved intelligent method for shear line identification by introducing a second-order zonal-wind shear. Climatic characteristics of shear lines and related rainstorms over the Southern Yangtze River Valley (SYRV) during the summers (June-August) from 2008 to 2018 are then analyzed by using two types of unsupervised machine learning algorithm, namely the t-distributed stochastic neighbor embedding method (t-SNE) and the k-means clustering method. The results are as follows: (1) The reproducibility of the 850 hPa wind fields over the SYRV using China’s reanalysis product CMA-RA is superior to that of European and American products including ERA5, ERA-Interim, and FNL. (2) Theory and observations indicate that the introduction of a second-order zonal-wind shear criterion can effectively eliminate the continuous cyclonic curvature of the wind field and identify shear lines with significant discontinuities. (3) The occurrence frequency of shear lines appearing in the daytime and nighttime is almost equal, but the intensity and the accompanying rainstorm have a clear diurnal variation: they are significantly stronger during daytime than those at nighttime. (4) Half (47%) of the shear lines can cause short-duration rainstorms (≥20 mm (3h)-1 ), and shear line rainstorms account for one-sixth (16%) of the total summer short-duration rainstorms. Rainstorms caused by shear lines are significantly stronger than that caused by other synoptic forcing. (5) Under the influence of stronger water vapor transport and barotropic instability, shear lines and related rainstorms in the north and middle of the SYRV are stronger than those in the south.     

Measurement of wind parameters and heat flux with the sensitron Doppler SODAR

The authors present the results of a comparison of wind parameters and heat flux inferred from Doppler SODAR (Sensitron/Sweden) with direct measurements using an acoustic anemometer (Kaijo-Denki, DAT 300) and a platinum wire thermometer. Rather important are the results of a calibration method for c _t ² from measurements of temperature standard deviation, and of an underestimation of the wind speed by Doppler SODAR. An operational means to calculate the flux of sensible heat on the basis of SODAR measurements is studied.     

Comparison of three methods for determining strong wind stress over Lake Flevo

The drag coefficient C _d (10 m) at the center of shallow Lake Flevo (20-km diam) is evaluated for wind speeds u between 5 and 15 m s^?1 independently by three methods. Trivane measurements of eddy-correlation fluxes agree with eddy flux data available for moderate wind speeds from other sites, and can together be represented by C _d(10 m) = 0.0007 μ^0.3. Additional evaluations of water-surface slope give C _d(10 m) ≈ 0.0024, indicating that the stress at the water-surface level may not be entirely accounted for by eddy-correlation measurements well above the waves. Neither the eddy-correlation stress, nor the water-surface stress appears to be accurately estimable from profile measurements of wind, temperature and humidity analyzed without regard to sea state, if u > 10 m s^?1.     

WRF/CALMET/BP预报系统对内陆山区风电场的一次滚动预报检验北大核心

利用以中尺度数值模式WRF/CALMET作为风电场预报系统的动力模块,及BP神经网络法(BP-ANN)作为风电场预报系统的统计订正方法,对重庆市齐跃山风电场进行了一次时间分辨率为5 min的24 h风速、风功率的滚动预报试验,探讨了适用于中国典型内陆山区的风电场预报系统。结果显示:以WRF/CALMET/BP组成的动力—统计预报系统能够较好地模拟出内陆山区的风场特征,系统对正午至傍晚时段的风速预报准确率较高。WRF/CALMET动力模式对于风速中心振幅的模拟能力较好,经过BP神经网络订正后,模拟结果会趋于均值。不同风速段中,模式对低风速段(3~8 m·s^(-1))的预报效果较好,BP神经网络对中风速段(8~14 m·s^(-1))预报结果的订正效果最明显。