基于Lagrange追踪的海上溢油预报模型研究
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摘要
海上溢油事故的频繁发生,引起了人们对海上溢油的普遍关注和大量研究,为了减小溢油事故对海洋环境造成的影响,对海上溢油行为和归宿预报模型的研究就显得尤为重要。海上石油通常使用海底石油管线或油轮运输,两者均存在很大风险。鉴于此,本文根据前人研究工作的总结和本课题研究的需要,对近海水动力和溢油模型进行了系统的文献综述。在此基础上,以N-S方程和紊流扩散为主要理论、以Lagrange追踪法和Lagrange积分法为主要求解方法,分别建立了海底管线溢油预报模型和二维、三维海面溢油迁移转化预报模型,研究的主要内容包括:
在算子分裂法的基础上,将SOWMAC和Crank-Nicolson有限元两种高精度分裂格式推广应用于污染物三维对流扩散方程,同时对经典ADI格式的对流项做了改进,改进后的格式的对流项对空间具有四阶精度,而经典ADI格式对空间只有二阶精度,并对两种典型的浓度场进行了数值模拟,且将这三种高精度格式的计算结果与解析解以及其它传统差分格式的计算结果进行了对比。
针对海底管线溢油事故,建立了海底管线溢油预报模型以模拟分析水下溢油的上升和扩散过程。模型采用Lagrange积分法,不仅考虑了溢油的对流扩散过程,还考虑其化学转化过程,如溶解和乳化。此外,模型还考虑了由于剪力和对流作用引起的卷吸过程,且将数值模拟结果与实验值进行了对比。
水动力学模型分别使用普林斯顿海洋模式(POM)和非结构有限体积模式(FVCOM),对大连湾、渤海和日本博多湾的潮流场进行了数值模拟,并对模拟结果进行了验证。
针对油轮溢油事故,建立了二维和三维海面溢油行为和归宿预报模型。模型基于“油粒子”概念,采用Lagrange追踪法模拟海面溢油的迁移、扩散和转化。在此方法中,油膜可用大量的小油滴表示,对每个油滴都规定随时间而变化的坐标系。在每个时间段,首先油滴随当地的时均流速和脉动流速而移动,表示紊动脉动的分量同随机理论得到的扩散系数有关,然后再考虑其挥发、溶解、乳化、沉降和附着在岸边等过程。二维溢油模型基于的环境动力有风场和潮流场,使用了各向同性和各向异性两种紊动扩散公式,并对两种公式的模拟结果进行了比较。在三维溢油模型中增加了油滴的垂向紊动扩散和水平运动的二阶Stokes波导净输移,其基于的环境动力有风场、潮流场和波浪。模拟分析了在风、潮流和波浪作用下发生在1990年6月渤海海峡溢油事故中油膜的迁移、扩散和转化过程,并将模拟结果与观测值进行了对比。
Marine oil spill accidents have occurred frequently, causes people to the widespread concern of oil spills at sea and a considerable amount of research, in order to reduce oil spill incidents on the marine environment impact, studying on the behaviors and fate of the oil spill forecast model on the marine appears to be particularly important. Offshore oil usually used the oil pipeline transport or tanker transport, there are two great risks. In view of this, based on the research work of former summarized and the need of the research task, the systemic review is made of the model for hydrodynamics and oil spills. Then, the N-S equation and turbulent diffusion theory as the main theory, the Lagrangian tracking and Lagrangian integral method as the main numerical calculation method, namely the establishment of a subbed pipeline oil spill prediction model and transport and transformation of two-dimensional, three-dimensional oil spill mathematical model at sea. The main contents include:
Two higher-order splitting schemes, SOWMAC and Crank-Nicolson FEM have been applied to three-dimensional advection-diffusion equation based on the idea of the operators splitting method. The third scheme proposed in this paper is based on the classical ADI scheme and the accuracy of the advection term of it can reach the spatial fourth-order, while classical ADI scheme only can reach the spatial second-order. Finally, two typical numerical experiments show that the solutions of these three schemes compare well with that given by the analytical solution and other traditional scheme.
For subbed pipeline oil spill accidents, a subbed pipeline oil spill model to simulate the increase, spread, dissolution and emulsification process of underwater oil spill has been established. Using Lagrangian integral technology, that is, every moment of the oil spill along the path as a center of the control unit, the oil spill into account not only the physical convection-diffusion process, but also its chemical change, such as dissolution and emulsification action. In addition, the model also took into account the role because of the shear caused by convection and entrainment process, and the numerical simulation results and experimental results are compared.
Princeton Ocean Model (POM) and unstructured finite volume mode (FVCOM) have been used to simulate the current of the Dalian Bay, Bohai Sea and HKT bay, Japan, and the numerical simulation results are validated.
For oil spill accidents caused by oil tanker, models for the two-dimensional and three-dimensional oil spills to simulate the behavior and fate have been established. Based on the "oil particle" idea, Lagrangian tracking simulation of the oil spill off transportation, diffusion and transformation, in this method, the oil film can be a lot of small oil droplets, oil droplets provide for each change over time of the coordinates. Each time, first of all, oil droplets with both local and fluctuating velocity and flow rate movement, said that with the amount of turbulent fluctuation theory of random diffusion coefficient, and then consider the evaporation oil droplets, dissolution, emulsification, the settlement and attachment to the shore. Considered the above process and based on wind, current, both isotropic and anisotropic diffusion formula has been applied to 2D oil spill model and comparing their simulation results. The vertical turbulent diffusion and horizontal movement of the second Stokes induced net transport has been considered in the 3D oil spill model which is based on wind, current and wave. 2D and 3D oil spill model have been applied to simulation the oil spill accident occurred in June 1990 in the Bohai Strait under the wind, tide and wave action and computation the transportation, diffusion and transformation process, and with the observed values were compared.
在算子分裂法的基础上,将SOWMAC和Crank-Nicolson有限元两种高精度分裂格式推广应用于污染物三维对流扩散方程,同时对经典ADI格式的对流项做了改进,改进后的格式的对流项对空间具有四阶精度,而经典ADI格式对空间只有二阶精度,并对两种典型的浓度场进行了数值模拟,且将这三种高精度格式的计算结果与解析解以及其它传统差分格式的计算结果进行了对比。
针对海底管线溢油事故,建立了海底管线溢油预报模型以模拟分析水下溢油的上升和扩散过程。模型采用Lagrange积分法,不仅考虑了溢油的对流扩散过程,还考虑其化学转化过程,如溶解和乳化。此外,模型还考虑了由于剪力和对流作用引起的卷吸过程,且将数值模拟结果与实验值进行了对比。
水动力学模型分别使用普林斯顿海洋模式(POM)和非结构有限体积模式(FVCOM),对大连湾、渤海和日本博多湾的潮流场进行了数值模拟,并对模拟结果进行了验证。
针对油轮溢油事故,建立了二维和三维海面溢油行为和归宿预报模型。模型基于“油粒子”概念,采用Lagrange追踪法模拟海面溢油的迁移、扩散和转化。在此方法中,油膜可用大量的小油滴表示,对每个油滴都规定随时间而变化的坐标系。在每个时间段,首先油滴随当地的时均流速和脉动流速而移动,表示紊动脉动的分量同随机理论得到的扩散系数有关,然后再考虑其挥发、溶解、乳化、沉降和附着在岸边等过程。二维溢油模型基于的环境动力有风场和潮流场,使用了各向同性和各向异性两种紊动扩散公式,并对两种公式的模拟结果进行了比较。在三维溢油模型中增加了油滴的垂向紊动扩散和水平运动的二阶Stokes波导净输移,其基于的环境动力有风场、潮流场和波浪。模拟分析了在风、潮流和波浪作用下发生在1990年6月渤海海峡溢油事故中油膜的迁移、扩散和转化过程,并将模拟结果与观测值进行了对比。
Marine oil spill accidents have occurred frequently, causes people to the widespread concern of oil spills at sea and a considerable amount of research, in order to reduce oil spill incidents on the marine environment impact, studying on the behaviors and fate of the oil spill forecast model on the marine appears to be particularly important. Offshore oil usually used the oil pipeline transport or tanker transport, there are two great risks. In view of this, based on the research work of former summarized and the need of the research task, the systemic review is made of the model for hydrodynamics and oil spills. Then, the N-S equation and turbulent diffusion theory as the main theory, the Lagrangian tracking and Lagrangian integral method as the main numerical calculation method, namely the establishment of a subbed pipeline oil spill prediction model and transport and transformation of two-dimensional, three-dimensional oil spill mathematical model at sea. The main contents include:
Two higher-order splitting schemes, SOWMAC and Crank-Nicolson FEM have been applied to three-dimensional advection-diffusion equation based on the idea of the operators splitting method. The third scheme proposed in this paper is based on the classical ADI scheme and the accuracy of the advection term of it can reach the spatial fourth-order, while classical ADI scheme only can reach the spatial second-order. Finally, two typical numerical experiments show that the solutions of these three schemes compare well with that given by the analytical solution and other traditional scheme.
For subbed pipeline oil spill accidents, a subbed pipeline oil spill model to simulate the increase, spread, dissolution and emulsification process of underwater oil spill has been established. Using Lagrangian integral technology, that is, every moment of the oil spill along the path as a center of the control unit, the oil spill into account not only the physical convection-diffusion process, but also its chemical change, such as dissolution and emulsification action. In addition, the model also took into account the role because of the shear caused by convection and entrainment process, and the numerical simulation results and experimental results are compared.
Princeton Ocean Model (POM) and unstructured finite volume mode (FVCOM) have been used to simulate the current of the Dalian Bay, Bohai Sea and HKT bay, Japan, and the numerical simulation results are validated.
For oil spill accidents caused by oil tanker, models for the two-dimensional and three-dimensional oil spills to simulate the behavior and fate have been established. Based on the "oil particle" idea, Lagrangian tracking simulation of the oil spill off transportation, diffusion and transformation, in this method, the oil film can be a lot of small oil droplets, oil droplets provide for each change over time of the coordinates. Each time, first of all, oil droplets with both local and fluctuating velocity and flow rate movement, said that with the amount of turbulent fluctuation theory of random diffusion coefficient, and then consider the evaporation oil droplets, dissolution, emulsification, the settlement and attachment to the shore. Considered the above process and based on wind, current, both isotropic and anisotropic diffusion formula has been applied to 2D oil spill model and comparing their simulation results. The vertical turbulent diffusion and horizontal movement of the second Stokes induced net transport has been considered in the 3D oil spill model which is based on wind, current and wave. 2D and 3D oil spill model have been applied to simulation the oil spill accident occurred in June 1990 in the Bohai Strait under the wind, tide and wave action and computation the transportation, diffusion and transformation process, and with the observed values were compared.
引文
[1]王修林,李克强.渤海主要化学污染物海洋环境容量.北京:科学出版社,2006.
[2]Saint V.Theory of unsteady water flow,with application to river floods and to propagation of tides in river channels.Paris:Academic Pr.,1871.
[3]Chang Y C.Lateral mixing of meandering flow:[Ph.D Dissertation].Iowa:the University of lowa,1971.
[4]Yang J C.Numerical simulation of bed evolution in multi-channel river system:[Ph.D Dissertation].Iowa:the University of Iowa,1986.
[5]Cunge J A,Holly F M,Verwey A.Practical aspects of computational river Hydraulics.London:Pitman Publishing Limited,1980.
[6]徐小明.大型河网水力水质数值模拟方法:(博士学位论文).南京:河海大学,2001.
[7]Preissmann A,ed.Propagation of translatory waves in channels and rivers.First Congress of French Assoc.for Computation,Grenoble,France,1961:433-442.
[8]李岳生,杨世孝,肖子良.网河不恒定流隐式方程组的稀疏矩阵解法.中山大学学报(自然科学版),1977,(3):25-37.
[9]Dronkers J J.河流近海地区和外海的潮汐计算.水利水运科技情报(增刊),1973,(5):24-67.
[10]张二骏,张东生,李挺.河网非恒定流的三级联合解法.华东水利学院学报,1982,10(1):1-13.
[11]吴寿红.河网非恒定流四级解算法.水利学报,1985(8):42-50.
[12]李光炽,王船海.大型河网水流模拟的矩阵标识法.河海大学学报,1995,23(1):36-43.
[13]李义天.河网非恒定流隐式方程组的汊点分组解法.水利学报,1997,(3):49-57.
[14]JeanA C.Two-dimensin modeling of flooding plains.In:Mahmood K,ed.Unsteady Flow in Open Channels,Water Resources Publications,USA,1975.
[15]韩龙喜,张书农,金忠青.复杂河网非恒定流计算模型——单元划分法.水利学报,1994,(2):52-56.
[16]姚琪.运河水网水量数学模型的研究和应用.河海大学学报,1991(4):9-17.
[17]Fread D L.Flood routing in meandering rivers with flood plains.In Synip.On Inland Waterways for Navigation,Flood Control and Water Diversion,ASCE,1976,1:16-35.
[18]徐小明,何建京,汪德爟.求解大型河网非恒定流的非线性方法.水动力学研究与进展,2001(1):18-24.
[19]徐小明,张静怡,丁健,汪德爟.河网水力数值模拟的松弛迭代法及水位的可视化显示.水文,2006(6):1-4.
[20]徐小明,汪德爟.大型线性方程组解法的探讨.河海大学学报,2001(2):20-24.
[21]徐小明,汪德爟.河网非恒定流的分级解法与松弛迭代解法比较.河海大学学报,2000(增刊):68-70.
[22]Leendertse J J.A three-dimensional model for estuaries and coastal seas.The Rand Corporation,1973.
[23]Abbott B B.Computatonal Hydraulics:Element of the theory of free surface flows.London:Pitman Publishing Limited,1979.
[24]Stelling G S.On the construction of computational method for shallow water flow problem.Rijkswatertat Communication,1984,35:493-523.
[25]沈焕庭.中国河口数学模型模拟研究的进展.海洋通报.1997,16(2):80-85.
[26]林秉南,赵雪华,施麟宝.河口建筑对毗邻海湾潮波变形的计算(二维特征理论法).水利学报,1980,(3):16-26.
[27]李浩麟,项有法.河口汉道不稳定流有限元数值计算.水利学报,1983,(4):16-25.
[28]李浩麟,项有法.河口二维潮流单元积分的数值计算.水利学报,1984,(11):66-72.
[29]施麟宝.河口动边界二维水力计算.人民珠江,1986,(2):4-8.
[30]许卫忆,苏纪兰.杭州湾二维潮波计算机底质分布的动力成因.海洋与湖沼,1986,(6):493-523.
[31]王船海,梁金焰,林金裕等.闽江口河网二维潮流数学模型.台湾海峡,2002,21(4):389-399.
[32]沈永明,吴修广,郑永红.曲线坐标下平面二维水流计算的代数应力湍流模型.水利学报,2005,36(4):383-390.
[33]吴修广,沈永明,王敏等.非静压假定的σ坐标下垂向二维浅水模型的应用研究.水力发电学报,2005,24(1):93-98.
[34]远航,于定勇.潮流与泥沙数值模拟回顾及进展.海洋科学进展,2004,22(1):97-106.
[35]Kim C,Lee J.A three-dimensional PC-based hydrodynamic model using an ADI scheme.Coastal Engineering,1994,23:271-287.
[36]Shankar N J,Cheong H F,Sankaranarayanan S.Multilevel finite-difference model for three-dimensional hydrodynamic circulation.Ocean Engineering,1997,24(3):785-816.
[37]Chao X B,Shankar N J,Cheong H F.A three-dimensional multi-level turbulence model for tidal motion.Ocean Engineering,1999,26(11):1023-1038.
[38]Phillips N A.A coordinate system having some special advantages for numerical forecasting.Journal of Meteorology,1957,14(2):184-185.
[39]Wang K H.Characterization of circulation and salinity change in Galveston Bay.Journal of Engineering Mechanics,1994,120(3):557-579.
[40]Mellor G L,Blumberg A F.Modeling vertical and horizontal diffusivities with the sigma coordinate system.Monthly Weather Review,1985,113:1379-1383.
[41]Mellor G L.Users guide for a three-dimensional primitive equation numerical ocean model.Princeton:Princeton University,1998.
[42]Abbott M B.Range of tidal flow modeling.Journal of Hydraulic Engineering,ASCE.1997,123(4):255-277.
[43]Davies A M,Jones J E,Xing J.Review of recent developments in tidal hydrodynamic modeling,Ⅰ:special models.Journal of Hydraulic Engineering,ASCE.1997,123(4):278-290.
[44]张景新.河口海岸水动力及悬移质泥沙运动数值模拟:(博士学位论文).上海:上海交通大学,2005.
[45]易家豪,叶雪祥.长江口南港航道三维水流数值模拟.第二届河流泥沙国际学术会议,北京,1983.
[46]赵士清.长江口三维潮流数值模拟.水利水运研究,1985,1:18-20.
[47]韩国其,汪德爟,许协庆.潮汐河口三维水流数值模拟.水利学报,1989,12:54-60.
[48]窦振兴,杨连武,Ozerij.渤海湾三维潮流数值模拟.海洋学报,1993,15(5):1-15.
[49]卢启苗,Wai W H,Onyx.海岸河口三维潮流数学模型.海洋工程,1995,13(4):47-60.
[50]李孟国.伶仃洋三维流场数值模拟.水动力学研究与进展.1996,11(3):342-351.
[51]宋志尧,薛鸿超等.潮汐动力场准三维数值模拟.海洋工程,1998,16(3):54-61.
[52]刘子龙,王船海,李光炽等.复杂边界准三维水流模拟.成都科技大学学报,1996,(1):12-20.
[53]白玉川.海岸三维潮流数学模型的研究及应用.海洋学报,1998,20(6):87-100.
[54]万振文,乔方利,袁业立.渤、黄、东海三维潮波运动数值模拟.海洋与湖沼,1998,29(6):611-616.
[55]刘桦,何友声.长江口水环境数值模拟研究及水动力数值模拟.水动力学研究与进展,2000,15(1):17-30.
[56]闫菊,王海,鲍献文.胶州湾三维潮流及潮致余环流的数值模拟.地球科学进展,2001,16(2):172-178.
[57]杨陇慧,朱建荣等.长江口杭州湾及邻近海区潮汐潮流场三维数值模拟.华东师范大学学报(自然科学版),2001,(3):74-84.
[58]Zhan J M,Li Y S.A large eddy simulation turbulence model for the South China Sea.Proc.Of 3th Intern.Conf.on Hydrodynamics,Korea.1998,365-370.
[59]张越美,孙英兰.渤海三维变动边界潮流数值模拟.青岛海洋大学学报(自然科学版),2002, 32(3):337-344.
[60]陈长胜.海洋生态系统动力学与模型.北京:高等教育出版社,2003.
[61]Chen C S,Liu H D.An Unstructured Grid,Finite-Volume,Three-Dimensional,Primitive Equations Ocean Model:Application to Coastal Ocean and Estuaries.Journal of Atmospheric and Oceanic Technology,2003,20:159-186.
[62]Chen C S,Zhu J R,Robert C,et al.Physical-biological sources for dense algal blooms near the Changjiang River.Geophysical Research Letters,2003,30(10):1-4.
[63]Shi M C,Chen C S,Xu Q C,et al.The Role of Qiongzhou Strait in the Seasonal Variation of the South China Sea Circulation.Journal of Physical Oceanography,2002,32:103-121
[64]McDougall T J.Bubble plumes in stratified environments.Journal of Fluid Mechanics,1978,85:655-672.
[65]Fannelop T K,Sjoen K.Hydrodynamics of underwater blowouts.AIAA 8th Aerospace Sciences Meeting,Pasadena,California,AIAA paper,1980,80-0219.
[66]Milgram J H.Mean flow in round bubble plumes.Journal of Fluid Mechanics,1983,133:345-376.
[67]Fannelop T K,Horschberg S,Kuffer J.Surface current and recirculating cells generated by bubble curtains and jets.Journal of Fluid Mechanics,1991,229:629-657.
[68]Hirst E.Buoyant jets with three-dimensional trajectories.Journal of the Hydraulics Division,1972,98(11):1999-2014.
[69]Bemporad G A.Simulation of round buoyant jet in stratified flowing environment.Journal of Hydraulic Engineering,1994,120(5):529-543.
[70]Yapa P D,Zheng L.Simulation of oil spills from underwater accidents Ⅰ:model development.Journal of Hydraulic Research,IAHR,1997,35(5):673-687.
[71]Zheng L,Yapa P D.Simulation ofoil spills from underwater accidents Ⅱ:model verification.Journal of Hydraulic Research,IAHR,1998,36(1):117-134.
[72]王晶.海底管线溢油在水体中的运移扩散过程研究:(硕士学位论文).大连:大连理工大学,2006.
[73]Blokker P C.Spreading and evaporation of petroleum products on water.Proc.of the Fourth International Harbour Conference.Antwerp,Belgium,1964,911-919.
[74]Frankenfeld J.Wheathering of oil at sea,Esso.Research and Engineering Company,Distributed by National Technical Information Service,US Department of Commerce 1973.
[75]Mackay D,Matsugu R.Evaporation rate of liquid hydrocarbon spills on land and water.Can.J.Chem.Eng.,1973,51(8):434-439.
[76]Buchanan I,Hurford N.Methods for predicting the physical changes in oil spilt at sea.Oil Chem.Pollut.,1988,4(4):311-328.
[77]Regnier Z R,Scott B F.Evaporation rates of oil components.Environ.Scien.& Tech.,1975,5:469-472.
[78]Harrison,et al.Crude oil spills-Disappearance of aromatic and aliphatic components from small sea-surface slicks.Environ.Science Tech.,1975,9(3):231-234.
[79]Stiver W,Mackay D.Evaporation rare of spills of hydrocarbons and petroleum mixtures.Environ.Science Tech.,1984,18(11):834-840.
[80]Lehr W J,Overstreet R.ADIOS-automated data inquiry for oil spills.Proceedings of the fifteenth arctic and marine oil spill program technical seminar,1992,31-35.
[81]Leech M,Walker M.OSIS:a windows 3 oil spill information system.Proceedings of 16~(th)arctic and marine oil spill program technical seminar,1993,549-572.
[82]Sebastian P,Guedes S C.Modeling the fate of oil spill at sea.Spill science and technology bulletin,1995,2(2/3):121-131.
[83]Webb L,Taranto R,Hashimoto E.Operational oil spill drift forecasting.Proceedings of 7~(th)navy symposium of military oceanography,Annapolis,Maryland,1970.
[84]Miller,Stolzenback K D,et al.A review and evaluation of basic techniques predicting the behavior of surface oil slicks.MIT report(22),1977.
[85]孙俊。俞济清,黄立文.基于OILMAP的中国舟山港溢油管理信息系统.计算机仿真,2002,19(4):76-78.
[86]Mark R,Oistien J,et al.Oil spill modeling towards the close of 20~(th)century:Overview of the state of the art.Spill science and technology bulletin,1999,5(1):3-16.
[87]杨庆霄,徐俊英,李文森.海上石油蒸发过程的研究.海洋学报,1990,12(2):187-193.
[88]杨庆胃,赵云英,韩见波.海上溢油在破碎波作用下的乳化作用.海洋环境科学,1997,16(2):3-8.
[89]杨庆霄,徐俊英,李文森.海上溢油溶解过程的研究.海洋学报,1994,16(3):50-56.
[90]Qiao B.Oil spill model development and application of emergency response system.Journal of environmental sciences,2001,13(2):252-256.
[91]Lou A G,Wu D X,Wang X C,et al.Establishment of a 3D model for oil spill prediction.Journal of Ocean University of QingDao,2001,31(4):473-479.
[92]严志宇,殷佩海.海上溢油蒸发过程的研究进展.海洋环境科学,2000,19(1):75-80.
[93]严志宇,熊德琪,殷佩海.海上溢油风化模型评述.大连海事大学学报,2001,27(4):36-39.
[94]严志宇,许海梁.溢油乳化过程的研究进展.交通环保,2002,23(2):1-6.
[95]浦宝康.生物降解治理油轮Exxon Valdez的油污.交通环保,1994,15(6):37-38.
[96]Masaluml G.微生物降解溢油的数学模型.交通环保,1995,16(4):45-46.
[97]林风翱,于占国,李洪等.海洋丝状真菌降解原油研究.海洋学报,1997,19(6):68-76.
[98]Fay J A.The spread of oil slicks on a calm sea.Oil on the sea,Plenum,New York,1969.53-64.
[99]Shen H T,Yapa P D,Petroski ME.A Simulation model for oil slick transport in lakes.Water Resources Research,1987,23(10):1949-1957.
[100]Shen H T,Yapa P D.Oil slick transport in rivers.Journal of Hydraulic Engineering,1988,114(5):529-543.
[101]杨小庆,沈洪道,汪德胜.油在河流中传输的双层数学模型.水利学报,1996,(8):71-76.
[102]Yapa P D,Shen H T,Angammana K.Modeling oil spills in a river-lake system.Journal of Marine Systems,1994,4:453-471.
[103]Zhang B,Zhang C Z and Ozer J.SURF-A simulation model for the behavior ofoil slicks at sea.In:Ozer J,Ed.Oil Pollution:Environmental Risk Assessment(OPERA).Proceedings of the OPERA Workshop,Dalian,China,1991.61-85.
[104]张存智,窦振兴,韩康,吴冠.三维溢油动态预报模式.海洋环境科学,1997,16(1):22-29.
[105]Lou A G,Wu D X,Wang X C,et al.Establishment of a 3D Model for oil Spill Prediction[J].Journal of Ocean University Qingdao.2001,31(4):473-479.
[106]刘文通,张洪芹.漂流卡与原油膜漂移速率的实验研究.海岸工程,1992,11(1):13-18.
[107]季荣,陈国华,胡雅蓓,李言涛.流一风一波共存下溢油漂移的实验室模拟.青岛海洋大学学报,1996,26(3):353-360
[108]赵文谦,江洧.石油以油滴形式向水下扩散的研究.环境科学学报,1990,10(2):173-182.
[109]沈永明,倪浩清,赵文谦,吴至维.油-水两相湍浮力回流双流体模型.力学学报,1992,24(5):546-555.
[110]徐洪磊.海上溢油动态数值模拟的研究:(硕士学位论文).大连:大连海事大学,2000.
[111]李冰绯.海上溢油的行为和归宿数学模型基本理论与建立方法的研究:(硕士学位论文).天津:天津大学,2003.
[112]于海亮.基于POM模型的海上液体化学品溢漏的三维污染扩散预测:(硕士学位论文).大连:大连海事大学,2007.
[113]刘晓东,卢磊.长江感潮河段码头油污染事故风险影响预测.环境科学与技术,2007,30(5):57-62.
[114]严志宇.海上溢油风化过程的研究及模拟:(博士学位论文).大连:大连海事大学,2001.
[115]Komatsu T,Ohgushi K,Asai K.Refined numerical scheme for advective transport in diffusion simulation.Journal of Hydraulic Engineering,1997,123(1):41-50.
[116]郑永红,沈永明,王利生等.污染物移流扩散方程的高精度分裂格式.水利学报,2002,(2): 41-46.
[117]郑永红.波浪、潮流、污染物迁移扩散数学模型及其数值模拟:(博士后工作报告).大连:大连理工大学,2000.
[118]Lardner R W,Song Y.An algorithm for three-dimensional convection and diffusion with very different horizontal and vertical scales.International Journal for Numerical Methods in Engineering,1991,32:1303-1319.
[119]Sommeijer B P,Kok J.Implementation and performance of the time integration of a 3D numerical transport model.International Journal for Numerical Methods in Fluids,1995,21:349-367.
[120]Sankaranayanan S,Shankar N J,Cheong H F.Three-dimensional finite difference model for transport of conservative pollutants.Ocean Engineering,1998,25(6):425-442.
[121]Szymkiewicz R.Oscillation-Free solution of shallow water equations for nonstaggeted grid.Journal of Hydraulic Engineering,1993,119(10):1118-1137.
[122]Cohen Y,Mackay D,Shiu W Y.Mass transfer rates between oil slicks and water.Can.J.Chem.Engrg.,1980,58:569-574.
[123]Huang J C,Monastero F C.Review of the state-of-the art ofoil spill simulation models.Final Report submitted to the American Petroleum Institute,Washington,D.C.,1982.
[124]Bobra M A,Chung P T.A catalogue of oil properties.Report EE-77,Consultchem.Ottawa,Canada,March.1986.
[125]Frick W E.Non-empirical closure of the plume equations.Atmospheric Environment,1984,18(4):653-662.
[126]Lee J H W,Cheung V.Generalized lagrangian model for buoyant jets in current.Journal of Environmental Engineering,1990,116(6):1085-1105.
[127]Fischer H B,List E J,Koh R C Y,et al.Mixing in inland and coastal waters.Academic Press,1979,New York.
[128]List F J,Imberger J.Turbulent entrainment in buoyant jets and plumes.Journal of the Hydraulics Division,1973,99(HY9):1461-1474.
[129]申霞.基于POM的近海三维水质模型研究及其应用:(硕士学位论文).南京:河海大学,2006.
[130]赵冬至,张存智,徐恒振.海洋溢油灾害应急响应技术研究.北京:海洋出版社,2006.
[131]Torgrimson G M.The on-scene-spill model:A user's guide,technical report,Hazardous Master.Response Branch,Natl.Oceanic and Atmos.Admin.,Seattle,Wash.,1980.
[132]Mackay D,Paterson S,Nadeau S.Calculation of the evaporation rate of volatile liquids.In:Proceedings of National Conference on Control of Hazardous Material Spills.Louisville Ky.,1980.364-368.
[133]Cohen Y,Mackay D,Shiu W Y.Mass transfer rates between oil slicks and water.Can.J.Chem. Engrg.,1980,58:569-574.
[134]Huang J C,Monastero F C.Review of the state-of-the art of oil spill simulation models.Final Report submitted to the American Petroleum Institute,Washington,D,C.,1982.
[135]Bommele.A simple computer model for the behavior of an oil spill at sea.Rijkswaterstaat,North Sea Directorate,Report No.4,1985.
[136]Buchanan I.Methods for predicting the physical changes in oil spill at sea.Warren Spring Laboratory,Report LR 609(OP)M,1987.
[137]潘军宁,辛文杰.三维潮流及河口盐水入侵数学模型.南京:南京水利科学研究院,2002.
[138]Corps J M.Oil spill modelling for tanker accidents in Iskenderun Bay,Turkey.Report prepared for environmental resources management,Report number AEAT/ENVR/R/0939 Issue 1,AEA Technology plc,Oxon,UK,2002.
[2]Saint V.Theory of unsteady water flow,with application to river floods and to propagation of tides in river channels.Paris:Academic Pr.,1871.
[3]Chang Y C.Lateral mixing of meandering flow:[Ph.D Dissertation].Iowa:the University of lowa,1971.
[4]Yang J C.Numerical simulation of bed evolution in multi-channel river system:[Ph.D Dissertation].Iowa:the University of Iowa,1986.
[5]Cunge J A,Holly F M,Verwey A.Practical aspects of computational river Hydraulics.London:Pitman Publishing Limited,1980.
[6]徐小明.大型河网水力水质数值模拟方法:(博士学位论文).南京:河海大学,2001.
[7]Preissmann A,ed.Propagation of translatory waves in channels and rivers.First Congress of French Assoc.for Computation,Grenoble,France,1961:433-442.
[8]李岳生,杨世孝,肖子良.网河不恒定流隐式方程组的稀疏矩阵解法.中山大学学报(自然科学版),1977,(3):25-37.
[9]Dronkers J J.河流近海地区和外海的潮汐计算.水利水运科技情报(增刊),1973,(5):24-67.
[10]张二骏,张东生,李挺.河网非恒定流的三级联合解法.华东水利学院学报,1982,10(1):1-13.
[11]吴寿红.河网非恒定流四级解算法.水利学报,1985(8):42-50.
[12]李光炽,王船海.大型河网水流模拟的矩阵标识法.河海大学学报,1995,23(1):36-43.
[13]李义天.河网非恒定流隐式方程组的汊点分组解法.水利学报,1997,(3):49-57.
[14]JeanA C.Two-dimensin modeling of flooding plains.In:Mahmood K,ed.Unsteady Flow in Open Channels,Water Resources Publications,USA,1975.
[15]韩龙喜,张书农,金忠青.复杂河网非恒定流计算模型——单元划分法.水利学报,1994,(2):52-56.
[16]姚琪.运河水网水量数学模型的研究和应用.河海大学学报,1991(4):9-17.
[17]Fread D L.Flood routing in meandering rivers with flood plains.In Synip.On Inland Waterways for Navigation,Flood Control and Water Diversion,ASCE,1976,1:16-35.
[18]徐小明,何建京,汪德爟.求解大型河网非恒定流的非线性方法.水动力学研究与进展,2001(1):18-24.
[19]徐小明,张静怡,丁健,汪德爟.河网水力数值模拟的松弛迭代法及水位的可视化显示.水文,2006(6):1-4.
[20]徐小明,汪德爟.大型线性方程组解法的探讨.河海大学学报,2001(2):20-24.
[21]徐小明,汪德爟.河网非恒定流的分级解法与松弛迭代解法比较.河海大学学报,2000(增刊):68-70.
[22]Leendertse J J.A three-dimensional model for estuaries and coastal seas.The Rand Corporation,1973.
[23]Abbott B B.Computatonal Hydraulics:Element of the theory of free surface flows.London:Pitman Publishing Limited,1979.
[24]Stelling G S.On the construction of computational method for shallow water flow problem.Rijkswatertat Communication,1984,35:493-523.
[25]沈焕庭.中国河口数学模型模拟研究的进展.海洋通报.1997,16(2):80-85.
[26]林秉南,赵雪华,施麟宝.河口建筑对毗邻海湾潮波变形的计算(二维特征理论法).水利学报,1980,(3):16-26.
[27]李浩麟,项有法.河口汉道不稳定流有限元数值计算.水利学报,1983,(4):16-25.
[28]李浩麟,项有法.河口二维潮流单元积分的数值计算.水利学报,1984,(11):66-72.
[29]施麟宝.河口动边界二维水力计算.人民珠江,1986,(2):4-8.
[30]许卫忆,苏纪兰.杭州湾二维潮波计算机底质分布的动力成因.海洋与湖沼,1986,(6):493-523.
[31]王船海,梁金焰,林金裕等.闽江口河网二维潮流数学模型.台湾海峡,2002,21(4):389-399.
[32]沈永明,吴修广,郑永红.曲线坐标下平面二维水流计算的代数应力湍流模型.水利学报,2005,36(4):383-390.
[33]吴修广,沈永明,王敏等.非静压假定的σ坐标下垂向二维浅水模型的应用研究.水力发电学报,2005,24(1):93-98.
[34]远航,于定勇.潮流与泥沙数值模拟回顾及进展.海洋科学进展,2004,22(1):97-106.
[35]Kim C,Lee J.A three-dimensional PC-based hydrodynamic model using an ADI scheme.Coastal Engineering,1994,23:271-287.
[36]Shankar N J,Cheong H F,Sankaranarayanan S.Multilevel finite-difference model for three-dimensional hydrodynamic circulation.Ocean Engineering,1997,24(3):785-816.
[37]Chao X B,Shankar N J,Cheong H F.A three-dimensional multi-level turbulence model for tidal motion.Ocean Engineering,1999,26(11):1023-1038.
[38]Phillips N A.A coordinate system having some special advantages for numerical forecasting.Journal of Meteorology,1957,14(2):184-185.
[39]Wang K H.Characterization of circulation and salinity change in Galveston Bay.Journal of Engineering Mechanics,1994,120(3):557-579.
[40]Mellor G L,Blumberg A F.Modeling vertical and horizontal diffusivities with the sigma coordinate system.Monthly Weather Review,1985,113:1379-1383.
[41]Mellor G L.Users guide for a three-dimensional primitive equation numerical ocean model.Princeton:Princeton University,1998.
[42]Abbott M B.Range of tidal flow modeling.Journal of Hydraulic Engineering,ASCE.1997,123(4):255-277.
[43]Davies A M,Jones J E,Xing J.Review of recent developments in tidal hydrodynamic modeling,Ⅰ:special models.Journal of Hydraulic Engineering,ASCE.1997,123(4):278-290.
[44]张景新.河口海岸水动力及悬移质泥沙运动数值模拟:(博士学位论文).上海:上海交通大学,2005.
[45]易家豪,叶雪祥.长江口南港航道三维水流数值模拟.第二届河流泥沙国际学术会议,北京,1983.
[46]赵士清.长江口三维潮流数值模拟.水利水运研究,1985,1:18-20.
[47]韩国其,汪德爟,许协庆.潮汐河口三维水流数值模拟.水利学报,1989,12:54-60.
[48]窦振兴,杨连武,Ozerij.渤海湾三维潮流数值模拟.海洋学报,1993,15(5):1-15.
[49]卢启苗,Wai W H,Onyx.海岸河口三维潮流数学模型.海洋工程,1995,13(4):47-60.
[50]李孟国.伶仃洋三维流场数值模拟.水动力学研究与进展.1996,11(3):342-351.
[51]宋志尧,薛鸿超等.潮汐动力场准三维数值模拟.海洋工程,1998,16(3):54-61.
[52]刘子龙,王船海,李光炽等.复杂边界准三维水流模拟.成都科技大学学报,1996,(1):12-20.
[53]白玉川.海岸三维潮流数学模型的研究及应用.海洋学报,1998,20(6):87-100.
[54]万振文,乔方利,袁业立.渤、黄、东海三维潮波运动数值模拟.海洋与湖沼,1998,29(6):611-616.
[55]刘桦,何友声.长江口水环境数值模拟研究及水动力数值模拟.水动力学研究与进展,2000,15(1):17-30.
[56]闫菊,王海,鲍献文.胶州湾三维潮流及潮致余环流的数值模拟.地球科学进展,2001,16(2):172-178.
[57]杨陇慧,朱建荣等.长江口杭州湾及邻近海区潮汐潮流场三维数值模拟.华东师范大学学报(自然科学版),2001,(3):74-84.
[58]Zhan J M,Li Y S.A large eddy simulation turbulence model for the South China Sea.Proc.Of 3th Intern.Conf.on Hydrodynamics,Korea.1998,365-370.
[59]张越美,孙英兰.渤海三维变动边界潮流数值模拟.青岛海洋大学学报(自然科学版),2002, 32(3):337-344.
[60]陈长胜.海洋生态系统动力学与模型.北京:高等教育出版社,2003.
[61]Chen C S,Liu H D.An Unstructured Grid,Finite-Volume,Three-Dimensional,Primitive Equations Ocean Model:Application to Coastal Ocean and Estuaries.Journal of Atmospheric and Oceanic Technology,2003,20:159-186.
[62]Chen C S,Zhu J R,Robert C,et al.Physical-biological sources for dense algal blooms near the Changjiang River.Geophysical Research Letters,2003,30(10):1-4.
[63]Shi M C,Chen C S,Xu Q C,et al.The Role of Qiongzhou Strait in the Seasonal Variation of the South China Sea Circulation.Journal of Physical Oceanography,2002,32:103-121
[64]McDougall T J.Bubble plumes in stratified environments.Journal of Fluid Mechanics,1978,85:655-672.
[65]Fannelop T K,Sjoen K.Hydrodynamics of underwater blowouts.AIAA 8th Aerospace Sciences Meeting,Pasadena,California,AIAA paper,1980,80-0219.
[66]Milgram J H.Mean flow in round bubble plumes.Journal of Fluid Mechanics,1983,133:345-376.
[67]Fannelop T K,Horschberg S,Kuffer J.Surface current and recirculating cells generated by bubble curtains and jets.Journal of Fluid Mechanics,1991,229:629-657.
[68]Hirst E.Buoyant jets with three-dimensional trajectories.Journal of the Hydraulics Division,1972,98(11):1999-2014.
[69]Bemporad G A.Simulation of round buoyant jet in stratified flowing environment.Journal of Hydraulic Engineering,1994,120(5):529-543.
[70]Yapa P D,Zheng L.Simulation of oil spills from underwater accidents Ⅰ:model development.Journal of Hydraulic Research,IAHR,1997,35(5):673-687.
[71]Zheng L,Yapa P D.Simulation ofoil spills from underwater accidents Ⅱ:model verification.Journal of Hydraulic Research,IAHR,1998,36(1):117-134.
[72]王晶.海底管线溢油在水体中的运移扩散过程研究:(硕士学位论文).大连:大连理工大学,2006.
[73]Blokker P C.Spreading and evaporation of petroleum products on water.Proc.of the Fourth International Harbour Conference.Antwerp,Belgium,1964,911-919.
[74]Frankenfeld J.Wheathering of oil at sea,Esso.Research and Engineering Company,Distributed by National Technical Information Service,US Department of Commerce 1973.
[75]Mackay D,Matsugu R.Evaporation rate of liquid hydrocarbon spills on land and water.Can.J.Chem.Eng.,1973,51(8):434-439.
[76]Buchanan I,Hurford N.Methods for predicting the physical changes in oil spilt at sea.Oil Chem.Pollut.,1988,4(4):311-328.
[77]Regnier Z R,Scott B F.Evaporation rates of oil components.Environ.Scien.& Tech.,1975,5:469-472.
[78]Harrison,et al.Crude oil spills-Disappearance of aromatic and aliphatic components from small sea-surface slicks.Environ.Science Tech.,1975,9(3):231-234.
[79]Stiver W,Mackay D.Evaporation rare of spills of hydrocarbons and petroleum mixtures.Environ.Science Tech.,1984,18(11):834-840.
[80]Lehr W J,Overstreet R.ADIOS-automated data inquiry for oil spills.Proceedings of the fifteenth arctic and marine oil spill program technical seminar,1992,31-35.
[81]Leech M,Walker M.OSIS:a windows 3 oil spill information system.Proceedings of 16~(th)arctic and marine oil spill program technical seminar,1993,549-572.
[82]Sebastian P,Guedes S C.Modeling the fate of oil spill at sea.Spill science and technology bulletin,1995,2(2/3):121-131.
[83]Webb L,Taranto R,Hashimoto E.Operational oil spill drift forecasting.Proceedings of 7~(th)navy symposium of military oceanography,Annapolis,Maryland,1970.
[84]Miller,Stolzenback K D,et al.A review and evaluation of basic techniques predicting the behavior of surface oil slicks.MIT report(22),1977.
[85]孙俊。俞济清,黄立文.基于OILMAP的中国舟山港溢油管理信息系统.计算机仿真,2002,19(4):76-78.
[86]Mark R,Oistien J,et al.Oil spill modeling towards the close of 20~(th)century:Overview of the state of the art.Spill science and technology bulletin,1999,5(1):3-16.
[87]杨庆霄,徐俊英,李文森.海上石油蒸发过程的研究.海洋学报,1990,12(2):187-193.
[88]杨庆胃,赵云英,韩见波.海上溢油在破碎波作用下的乳化作用.海洋环境科学,1997,16(2):3-8.
[89]杨庆霄,徐俊英,李文森.海上溢油溶解过程的研究.海洋学报,1994,16(3):50-56.
[90]Qiao B.Oil spill model development and application of emergency response system.Journal of environmental sciences,2001,13(2):252-256.
[91]Lou A G,Wu D X,Wang X C,et al.Establishment of a 3D model for oil spill prediction.Journal of Ocean University of QingDao,2001,31(4):473-479.
[92]严志宇,殷佩海.海上溢油蒸发过程的研究进展.海洋环境科学,2000,19(1):75-80.
[93]严志宇,熊德琪,殷佩海.海上溢油风化模型评述.大连海事大学学报,2001,27(4):36-39.
[94]严志宇,许海梁.溢油乳化过程的研究进展.交通环保,2002,23(2):1-6.
[95]浦宝康.生物降解治理油轮Exxon Valdez的油污.交通环保,1994,15(6):37-38.
[96]Masaluml G.微生物降解溢油的数学模型.交通环保,1995,16(4):45-46.
[97]林风翱,于占国,李洪等.海洋丝状真菌降解原油研究.海洋学报,1997,19(6):68-76.
[98]Fay J A.The spread of oil slicks on a calm sea.Oil on the sea,Plenum,New York,1969.53-64.
[99]Shen H T,Yapa P D,Petroski ME.A Simulation model for oil slick transport in lakes.Water Resources Research,1987,23(10):1949-1957.
[100]Shen H T,Yapa P D.Oil slick transport in rivers.Journal of Hydraulic Engineering,1988,114(5):529-543.
[101]杨小庆,沈洪道,汪德胜.油在河流中传输的双层数学模型.水利学报,1996,(8):71-76.
[102]Yapa P D,Shen H T,Angammana K.Modeling oil spills in a river-lake system.Journal of Marine Systems,1994,4:453-471.
[103]Zhang B,Zhang C Z and Ozer J.SURF-A simulation model for the behavior ofoil slicks at sea.In:Ozer J,Ed.Oil Pollution:Environmental Risk Assessment(OPERA).Proceedings of the OPERA Workshop,Dalian,China,1991.61-85.
[104]张存智,窦振兴,韩康,吴冠.三维溢油动态预报模式.海洋环境科学,1997,16(1):22-29.
[105]Lou A G,Wu D X,Wang X C,et al.Establishment of a 3D Model for oil Spill Prediction[J].Journal of Ocean University Qingdao.2001,31(4):473-479.
[106]刘文通,张洪芹.漂流卡与原油膜漂移速率的实验研究.海岸工程,1992,11(1):13-18.
[107]季荣,陈国华,胡雅蓓,李言涛.流一风一波共存下溢油漂移的实验室模拟.青岛海洋大学学报,1996,26(3):353-360
[108]赵文谦,江洧.石油以油滴形式向水下扩散的研究.环境科学学报,1990,10(2):173-182.
[109]沈永明,倪浩清,赵文谦,吴至维.油-水两相湍浮力回流双流体模型.力学学报,1992,24(5):546-555.
[110]徐洪磊.海上溢油动态数值模拟的研究:(硕士学位论文).大连:大连海事大学,2000.
[111]李冰绯.海上溢油的行为和归宿数学模型基本理论与建立方法的研究:(硕士学位论文).天津:天津大学,2003.
[112]于海亮.基于POM模型的海上液体化学品溢漏的三维污染扩散预测:(硕士学位论文).大连:大连海事大学,2007.
[113]刘晓东,卢磊.长江感潮河段码头油污染事故风险影响预测.环境科学与技术,2007,30(5):57-62.
[114]严志宇.海上溢油风化过程的研究及模拟:(博士学位论文).大连:大连海事大学,2001.
[115]Komatsu T,Ohgushi K,Asai K.Refined numerical scheme for advective transport in diffusion simulation.Journal of Hydraulic Engineering,1997,123(1):41-50.
[116]郑永红,沈永明,王利生等.污染物移流扩散方程的高精度分裂格式.水利学报,2002,(2): 41-46.
[117]郑永红.波浪、潮流、污染物迁移扩散数学模型及其数值模拟:(博士后工作报告).大连:大连理工大学,2000.
[118]Lardner R W,Song Y.An algorithm for three-dimensional convection and diffusion with very different horizontal and vertical scales.International Journal for Numerical Methods in Engineering,1991,32:1303-1319.
[119]Sommeijer B P,Kok J.Implementation and performance of the time integration of a 3D numerical transport model.International Journal for Numerical Methods in Fluids,1995,21:349-367.
[120]Sankaranayanan S,Shankar N J,Cheong H F.Three-dimensional finite difference model for transport of conservative pollutants.Ocean Engineering,1998,25(6):425-442.
[121]Szymkiewicz R.Oscillation-Free solution of shallow water equations for nonstaggeted grid.Journal of Hydraulic Engineering,1993,119(10):1118-1137.
[122]Cohen Y,Mackay D,Shiu W Y.Mass transfer rates between oil slicks and water.Can.J.Chem.Engrg.,1980,58:569-574.
[123]Huang J C,Monastero F C.Review of the state-of-the art ofoil spill simulation models.Final Report submitted to the American Petroleum Institute,Washington,D.C.,1982.
[124]Bobra M A,Chung P T.A catalogue of oil properties.Report EE-77,Consultchem.Ottawa,Canada,March.1986.
[125]Frick W E.Non-empirical closure of the plume equations.Atmospheric Environment,1984,18(4):653-662.
[126]Lee J H W,Cheung V.Generalized lagrangian model for buoyant jets in current.Journal of Environmental Engineering,1990,116(6):1085-1105.
[127]Fischer H B,List E J,Koh R C Y,et al.Mixing in inland and coastal waters.Academic Press,1979,New York.
[128]List F J,Imberger J.Turbulent entrainment in buoyant jets and plumes.Journal of the Hydraulics Division,1973,99(HY9):1461-1474.
[129]申霞.基于POM的近海三维水质模型研究及其应用:(硕士学位论文).南京:河海大学,2006.
[130]赵冬至,张存智,徐恒振.海洋溢油灾害应急响应技术研究.北京:海洋出版社,2006.
[131]Torgrimson G M.The on-scene-spill model:A user's guide,technical report,Hazardous Master.Response Branch,Natl.Oceanic and Atmos.Admin.,Seattle,Wash.,1980.
[132]Mackay D,Paterson S,Nadeau S.Calculation of the evaporation rate of volatile liquids.In:Proceedings of National Conference on Control of Hazardous Material Spills.Louisville Ky.,1980.364-368.
[133]Cohen Y,Mackay D,Shiu W Y.Mass transfer rates between oil slicks and water.Can.J.Chem. Engrg.,1980,58:569-574.
[134]Huang J C,Monastero F C.Review of the state-of-the art of oil spill simulation models.Final Report submitted to the American Petroleum Institute,Washington,D,C.,1982.
[135]Bommele.A simple computer model for the behavior of an oil spill at sea.Rijkswaterstaat,North Sea Directorate,Report No.4,1985.
[136]Buchanan I.Methods for predicting the physical changes in oil spill at sea.Warren Spring Laboratory,Report LR 609(OP)M,1987.
[137]潘军宁,辛文杰.三维潮流及河口盐水入侵数学模型.南京:南京水利科学研究院,2002.
[138]Corps J M.Oil spill modelling for tanker accidents in Iskenderun Bay,Turkey.Report prepared for environmental resources management,Report number AEAT/ENVR/R/0939 Issue 1,AEA Technology plc,Oxon,UK,2002.