Academic Thoughts and Achievements of Professor CHEN Chong-xi
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摘要: 在地下水资源评价理论方面, 陈崇希教授分析了"平均布井法"不符合质量守衡原理的实质, 纠正了以"地下水补给量计算可持续开采量"的错误, 提出了基于"质量守衡"的地下水资源评价原则, 强调分析"补给的增加量与排泄的减少量"在评价地下水可持续开采量时的重要意义.在地下水动力学领域, 陈崇希教授纠正了稳定井流"影响半径"模型的错误, 恢复了Dupuit"圆岛模型"的原貌, 拓展了Theis公式和Hantush公式的应用条件, 改进了地下水非稳定井流理论, 完善了其中的某些基本概念.在水文地质模拟仿真技术方面, 陈崇希教授提出确定滨海承压含水层海底边界的理论和方法; 提出地下水混合井流的模型和模拟方法, 解决了混合抽水试验确定分层水文地质参数的难题; 提出岩溶管道-裂隙-孔隙三重介质的地下水线性-非线性流动的模型; 建立了考虑井管水流雷诺数对滤管入流量分布的水平井-含水层系统的地下水流模型; 完成了"渗流-管流耦合模型"的砂槽物理模拟, 并用数值方法仿真了地下水流的规律; 最近向观测孔水位形成的传统观念———常规观测孔中的水头降深反映该孔滤水管中各点的平均降深———提出质疑.陈崇希教授建立的"渗流-管流耦合模型"使传统的基于线汇/线源的井孔-含水系统模型提高到新的水平.陈崇希教授积极倡导"防止模拟失真, 提高仿真性", 强调精细地分析水文地质条件、合理地概化模型和采用正确的仿真技术的重要性.Abstract: Professor CHEN Chong-xi is an eminent quantitative hydrogeologist in China. Over his distinguished academic career of 50 years, Professor CHEN has made outstanding contributions to the advancement of hydrogeology in China. This article is a brief review of his academic thoughts and achievements. Professor CHEN's research has covered many aspects of groundwater hydrology, including fundamental concepts and approaches of groundwater resource evaluation, theories of transient groundwater flow dynamics and methodology of groundwater numerical modeling. Like many scientists and scholars in China, Professor CHEN's academic ideas have been greatly influenced by literature first from former USSA and then USA. In 1970s, while most groundwater hydrologists in China overwhelmingly welcomed the new theory and concepts developed by overseas scientists and were very keen to apply them to solve local hydrogeological problems, Professor CHEN was probably one of the few who really scrutinize the theory and method very critically before using them. He challenged quite a few concepts and ideas that were widely accepted in the groundwater community but had no basis in fact. In the process of learning and challenging the traditional theories and methods, he also developed his own unique approach and style of solving groundwater problems in China.For example, the "effective radius" calculated from the Dupuit equation assuming that groundwater is in steady state was widely used to design the number and pattern of wells in a well field. He pointed out that unsteady state flow prevails in real aquifer systems and the concept of "effective radius" on the basis of steady state groundwater flow theory is incorrect for most flow systems in reality. He clarified the misunderstanding of the Dupuit equation and believed that the Dupuit equation applies only for a circular aquifer bounded by a fixed head boundary such as a circular island in the middle of the sea. His speculation was confirmed by the original publication of Dupuit which was available in China only after 1981, Professor CHEN made contributions in unsteady state flow theory as well. By studying the basic equations and the superposition theory, he relaxed the assumption of horizontal initial water level for using the Theis and Hantush equations.It was well accepted that the maximum recharge under natural hydrogeological conditions can be used to determine the sustainable groundwater resource. Professor CHEN challenged such an approach and demonstrated that sustainable groundwater development should be based on the increase in recharge or/and the decrease in discharge after the aquifer system reaches a new equilibrium under pumping condition. Unfortunately, the myth that the recharge prior to pumping is important in determining the magnitude of sustainable groundwater development still goes on in the groundwater community in the world.Professor CHEN developed some creative and effective methods of numerical modeling for some special hydrogeological problems. For numerical simulation in coastal aquifers, he presented the "equivalent boundary" theory to determine the offshore boundary of a confined aquifer with roof extending under the sea on the basis of analyzing by tidal data. He proposed the equivalent hydraulic conductivity approach to simulate the pumping test data from a pumping well in a multilayer aquifer system. By taking account the different flow regimes (laminar and turbulent flows, and the transition range), his approach can simulate the dynamic interaction between the aquifers via non-Darcian vertical flow through the wellbore. He also used the approach to study groundwater flow in a horizontal well and verified his model and approach by conducting laboratory tests in a sand tank model. He further extended this approach to handling the complex groundwater flow in karst aquifers by presenting a triple porosity model for karst aquifers consisting of pipes, fissures and a porous matrix. Recently, Professor CHEN has challenged the traditional thinking about the physical meaning of water level measured from an observation well. It has been well accepted that the water level in an observation well reflects the average hydraulic head in the aquifer profile that is occupied by the screened portion of the well. Professor CHEN has been conducting research to prove that the water level in the observation well penetrating several aquifers represents only the head of the upper aquifer, or more precisely, the uppermost point of the upper aquifer.On the basis of his modeling experience over the last half century, he strongly believes that the most important element in numerical modeling is that the model designers should make every effort to ensure that a numerical model is an accurate representation of the actual processes occurring in the real aquifer system. The best way to achieve this goal is to analyze the hydrogeological conditions with great care, conceptualize the model in a rational manner and simulate the process using an appropriate numerical technique.
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Key words:
- CHEN Chong-xi /
- academic thought /
- groundwater /
- resource estimation /
- model /
- numerical simulation /
- well flow problem.
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[1] Dupuit A J E J. Etudes Theoretiques et Pratiques sur le Mouvement des Eaux[M]. Paris: Dunod, 1863. [2] Bear J. Dynamics of fluids in porous media[M]. New York: Amer Elsevier Publishing Company, 1972.54 - 55. [3] 陈崇希. 地下水不稳定井流计算方法[M]. 北京: 地质出版社, 1983.CHEN C X. Calculation methods of groundwater unsteady flow to wells[M]. Beijing: Geological Publishing House, 1983. [4] 彼图什科夫. 抽水试验与裂隙喀斯特水的动、静储量和开采储量计算的新方法[J]. 水文地质工程地质译丛, 1965, (5): 1-6.ПетушковК П. The new calculation methods by pumping testsfor dynamic, static and exploitation water reserves in karst aquifers with fissures[J]. The Version of Hydrogeology and Engineering Geology, 1965, (5): 1-6. [5] 普洛特尼柯夫. 裂隙喀斯特水天然储量评价的"单位静储量法"[J]. 水文地质工程地质译丛, 1966, (1): 10- 12.Протников H N. "Unit static reserves method"for evaluating water resources in karst aquifers with fissures[J]. The Version of Hydrogeology and Engineering Geology, 1966, (1): 10-12. [6] 陈崇希. 评彼图什科夫和普洛特尼柯夫的"单位静储量法"——兼谈地下水资源评价中的若干问题[J]. 水文地质工程地质, 1978, (6): 82-86.CHEN C X. Comments onК. П. Петушков and H.N. Πротников's "unit static reserves method"-talking about several issues of evaluating on groundwater resources[J]. Hydrogeology and Engineering Geology, 1978, (6): 82- 86. [7] 陈崇希. 彼图什科夫"单位静储量法"的基本论点错在哪里[J]. 勘察科学技术, 1985, (1): 35-37. https://www.cnki.com.cn/Article/CJFDTOTAL-KCKX198501008.htmCHEN C X. What's wrong with the essential point ofК. П. Петушков's "unit static reserves method"[J]. Site Investigation Science and Technology, 1985, (1): 35 - 37. https://www.cnki.com.cn/Article/CJFDTOTAL-KCKX198501008.htm [8] 陈崇希. 地下水资源评价的原则和勘探思想的探讨[A]. 见: 地质矿产部水文地质工程地质研究所. 全国第一届地下水资源评价学术研讨会论文集[C]. 北京: 地质出版社, 1982.22-33.CHEN C X. On the principle of groundw ater resource estimation and exploration ideas[A]. In: Institute of Hydrogeology and Engineering geology of Ministry of Geology and Mineral Resources, ed. Thecorpusof thefirst national proseminar on estimating of groundwater resources[C]. Beijing: Geological Publishing House, 1982. 22 - 23. [9] Bredehoeft J D. The water budget myth revisited: why hydrogeologists model[J]. Ground Water, 2002, 40(4): 340-345. doi: 10.1111/j.1745-6584.2002.tb02511.x [10] 陈崇希. 关于地下水引发地面沉降灾害的思考[J]. 水文地质工程地质, 2000, (1): 45-48. https://www.cnki.com.cn/Article/CJFDTOTAL-SWDG200001014.htmCHEN C X. The thinking about groundwater withdrawal induced land subsidence[J]. Hydrogeology and Engineering Geology, 2001, (1): 45-48. https://www.cnki.com.cn/Article/CJFDTOTAL-SWDG200001014.htm [11] Theis C V. The relation between the lowering of the piezometric surface and the rate and duration of discharge ofa well using ground water storage[J]. Trans Amer Geophys, 1935, 16: 519-524. doi: 10.1029/TR016i002p00519 [12] 陈崇希. 层状非均质无压含水层中地下不稳定井流计算方法[J]. 地球科学——武汉地质学院学报, 1981, (1): 222-228.CHEN C X. The calculation method of groundwater nonsteadily flowing to wells in an inhomogeneous stratified aquifer[J]. Earth Science-Journal of Wuhan College of Geology, 1981, (1): 222-228. [13] Moench A F, Pricktt T A. Radial flow in an infinite aquifer undergoing conversion from artesian to water table conditions[J]. Water Resources Research, 1972, 8 (2): 494-499. doi: 10.1029/WR008i002p00494 [14] 陈崇希, 吴修义. 边界附近地下水不稳定井流试验数据分析方法[A]. 综合治理和利用矿床大面积地下水会议论文集[C]. 北京: 煤炭工业出版社, 1979.29-41.CHEN C X, WU X Y. Analytical methods for pumping tests nearby boundaries[A]. The scientific proceeding of integrative controlling and utilizing of mine groundwater inlarge areas[C]. Beijing: Coal Industry Press, 1979. 29-41. [15] 王旭升, 陈崇希. 改进的Theis井流模型及其解析解——考虑含水层顶板的挠曲作用[J]. 地球科学——中国地质大学学报, 2002, 27(2): 199-202. https://www.cnki.com.cn/Article/CJFDTOTAL-DQKX200202018.htmWANG X S, CHEN C X. Analysis of modified Theis model on well flow: Considering bending of the confining stratum[J]. Earth Science-Journal of China University of Geosciences, 2002, 27(2): 199-202. https://www.cnki.com.cn/Article/CJFDTOTAL-DQKX200202018.htm [16] Louis C. Stromungsvorgange in Kluftigen Medien und ihre Wirkung auf die Standsicherheit von Bauwerken und Boschungen im Fels[D]. Felsmech: Universitat (TH) Karlsruhe, Veroff Inst Bodenmech, 1967. [17] Boulton N S. The drawdown of water table under nonsteady conditions nearapumped wellinan unconfinedformation[A]. Proceeding institute of civil engineerings [C]. London: [s. n. ], 1954.564-579. [18] 陈崇希, 林敏. 地下水动力学[M]. 武汉: 中国地质大学出版社, 1999.CHEN C X, LIN M. Groudwater hydraulics[M]. Wuhan: China University of Geosciences Press, 1999. [19] Lin M, Chen C X. Analytic models of groundwaterflowing to karst springs[A]. Proceedings of IAH 21 st congress[C]. Gulin, China: [s. n. ], 1988.646 - 653. [20] 林敏, 陈崇希. 岩溶含水层中地下水向泉口流动的解析模型[J]. 中国岩溶, 1988, 7(3): 247-252. https://www.cnki.com.cn/Article/CJFDTOTAL-ZGYR198803017.htmLIN M, CHEN C X. The analytical model of groundwater flow towards springs in a karst aquifer[J]. China karst, 1988, 7(3): 247-252. https://www.cnki.com.cn/Article/CJFDTOTAL-ZGYR198803017.htm [21] 陈崇希. 用数值-解析法预测毛里塔尼亚伊迪尼水源地的地下水开采动态[J]. 水文地质工程地质, 1980, (4): 8-13.CHEN C X. Using analytica-l numerical method to predict the groundwater exploited dynamics in the Yi Dini water resource field of Mao Li Tania[J]. Hydrogeology and Engineering Geology, 1980, (4): 8-13. [22] Chen C X, Lin M. Groundwater resources evaluation of the intermountain valley for Hanchen area[A]. Proceedings of 26th international association hydrogeologist (IAH)conference[C]. Canada: [s. n. ], 1995. [23] 陈崇希, 陈明佑, 陈爱光, 等. 矿坑涌水量计算方法[M]. 武汉: 武汉地质学院出版社, 1985.CHEN C X, CHEN M Y, CHEN A G, et al. The calculation methods of mine water outflow[M]. Wuhan: Wuhan College of Geology Press, 1985. [24] Nawang W M, Y Kishi. Modelling of saltwater movement in multilayered coastal aquifer at Tanjuang Mas, Malaysia[A]. In: Jousma G, ed. Proceeding of international conference on calibration and reliability in groundwater modeling[C]. Hague, Netherlands: IAHS Publ, 1990.112-119. [25] 陈崇希, 林敏, 舒本媛. 滨海承压含水层等效边界——以北海禾塘水源地为例[J]. 水文地质工程地质, 1990, (4): 2-4. https://www.cnki.com.cn/Article/CJFDTOTAL-SWDG199004002.htmCHEN C X, LIN M, SHU B Y. The equivalent drainage boundary of a confined aquifer and its determination in coastal region: A casestudy in Hetang areaofBeihai city, China[J]. Hydrogeology and Engineering Geology, 1990, (4): 2-4. https://www.cnki.com.cn/Article/CJFDTOTAL-SWDG199004002.htm [26] Chen C X, Lin M. Numerical simulation of the coastal aquifers inBeihai city[A]. In: Kovar K, ed. Proceeding of international conference on calibration and reliability in groundwater modeling (ModelCARE'90)[C]. [s. l. ]: [s. n. ], 1990.67-74. [27] Li G M, Chen C X. Determining the length of confined aquifer roof extending under the sea by tidal method[J]. Journal of Hydrology, 1991, 123: 97-104. doi: 10.1016/0022-1694(91)90071-O [28] Chen C X, Lin M, Li G M. Modeling of quasi 3-D ground water flow and studying of equivalent drainage boundary in Beihai peninsula, Guangxi[J]. Journal of China University of Geosciences, 1992, 3 (1): 105 - 115. [29] 陈崇希, 林敏, 万军伟, 等. 滨海多层含水系统地下水开采-水环境系统若干问题[A]. 中国沿海资源工程环境系统与经济发展战略专辑[C]. 北京: 地震出版社, 1993.147-152.CHEN C X, LIN M, WAN J W, et al. Issues on aquatic environment due to the groundwater exploitation in the coastal mult-i aquifersystem[A]. Special on Chinacoastal resource engineering environment system and economic development strategy[C]. Beijing: Seismological Press, 1993.147-152. [30] 艾康洪, 陈崇希. 广西漫尾岛咸淡水界面运移剖面二维水质模拟研究[J]. 勘察科学技术, 1994, (6): 3-9. https://www.cnki.com.cn/Article/CJFDTOTAL-KCKX199406000.htmAI K H, CHEN C X. The study for section2-D water quality simulation in interface of salt water and fresh water in Manwei island, Guangxi[J]. Site Investigation Science and Technology, 1994, (6): 3-9. https://www.cnki.com.cn/Article/CJFDTOTAL-KCKX199406000.htm [31] 李国敏, 陈崇希. 涠洲岛海水入侵模拟[J]. 水文地质工程地质, 1995, (5): 1-6. https://www.cnki.com.cn/Article/CJFDTOTAL-SWDG505.000.htmLI G M, CHEN C X. The simulation for saltwater intrusionin Weizhou island[J]. Hydrogeology and Engineering Geology, 1995, (5): 1-6. https://www.cnki.com.cn/Article/CJFDTOTAL-SWDG505.000.htm [32] 万军伟, 陈崇希. 海南省洋浦港滨海水源地最大开采量确定方法研究[J]. 勘察科学技术, 1996, (6): 6-11. https://www.cnki.com.cn/Article/CJFDTOTAL-KCKX199606001.htmWAN J W, CHEN C X. The research for method in determining the most exploitation volume of seaside water resource area in Yangpu harbor in Hainan Province[J]. Site Investigation Science and Technology, 1996, (6): 6 -11. https://www.cnki.com.cn/Article/CJFDTOTAL-KCKX199606001.htm [33] Cheng J M, Chen C X. Three-dimensional modeling of density-dependent salt water intrusion in mult-i layered coastal aquifers in Jiahe River basin, Shandong Province, China[J]. Ground Water, 2001, 39 (1): 137 - 143. doi: 10.1111/j.1745-6584.2001.tb00359.x [34] 成建梅, 陈崇希, 吉孟瑞, 等. 运用三维变密度潮汐效应模型确定滨海含水系统的海底等效边界——山东烟台夹河中下游地区为例[J]. 地球科学——中国地质大学学报, 2003, 28(2): 225-231. https://www.cnki.com.cn/Article/CJFDTOTAL-DQKX200302019.htmCHENG J M, CHEN C X, JI M R, et al. Determination of seaward boundary with three-dimensional density-dependent tidal effect model: By example of coastal aquifers inthe Jiahe River basin, Shandong Province[J]. Earth Science-Journal of China University of Geosciences, 2003, 28(2): 225-231. https://www.cnki.com.cn/Article/CJFDTOTAL-DQKX200302019.htm [35] McDonald M G, Harbaugh A W. A modular three-dimensionalfinite-difference groundwater flow model[EB/ CD]. Techniques of Water Resources Investigations06- A1, U S Geological Survey, 1988. [36] 陈崇希. 地下水不稳定混合抽水的模型及模拟方法[J]. 地球学报, 1996, 17(增刊): 222-228. https://cpfd.cnki.com.cn/Article/CPFDTOTAL-DQXB199612001033.htmCHEN C X. The model and simulation method for mixed pumping test and unsteady groundwater flow[J]. Earth Journal, 1996, 17(Suppl): 222-228. https://cpfd.cnki.com.cn/Article/CPFDTOTAL-DQXB199612001033.htm [37] 陈崇希, 林敏. 地下水混合井流理论及其应用[M]. 武汉: 中国地质大学出版社, 1998.CHEN C X, LIN M. Groundwater flow model for mixed wells and its application[M]. Wuhan: China University of Geosciences Press, 1998. [38] Chen C X, Jiao J J. Numerical simulation of pumping test in multilayer wells with non-Darcian flow in the wellbore [J]. Ground Water, 1999, 37(3): 465-474. doi: 10.1111/j.1745-6584.1999.tb01126.x [39] Баренблатт Г И, Желтов Ю П, Кочина И Н. Обосновых представлениях теорий фильтрации однородных жидкостей втрещиноватых породах[J]. ПММ, 1960, 24: 825-864. [40] 陈崇希. 岩溶管道-裂隙-空隙三重空隙介质地下水流模型及模拟方法研究[J]. 地球科学——中国地质大学学报, 1995, 20(4): 361-366.CHEN C X. Groundwater flow model and simulation method in triple medium of karst tube-fissure-pore[J]. Earth Science-Journal of China University of Geosciences, 1995, 20(4): 361-366. [41] Cheng J M, Chen C X. Preliminary numerical study of karst groundwater flow in Beishan area[A]. Proceedings of 2nd international conference of future groundwater at risk[C]. Changchun: [s. n. ], 1998.65-66. [42] 陈崇希, 万军伟. 地下水水平井流的模型及数值模拟方法——考虑井管内不同流态[J]. 地球科学——中国地质大学学报, 2002, 27(2): 135-140. https://www.cnki.com.cn/Article/CJFDTOTAL-DQKX200202004.htmCHEN C X, WAN J W. A new model of groundwater flowing to horizontal well and the nnumerical simulation approach[J]. Earth Science-Journal of China University of Geosciences, 2002, 27(2): 135-140. https://www.cnki.com.cn/Article/CJFDTOTAL-DQKX200202004.htm [43] Hantush M S. Aquifer test on partially penetrating wells [J]. Proc Am SocCivil Engrs, 1961, 87(5): 171-195. [44] Бочевер Ф М, Веригин Н Н. Методическое пособие по расчетам зксплуатащонных запасов подземных вод для водоснабжения[M]. Москва И гостроииздат, 1961. [45] Neuman S P. Theory of flow in unconfined aquifers considering delayed response of the water table[J]. Water Resour Res, 1972, 18(4): 1031-1045. [46] 陈崇希. 三维地下水流中常规观测孔水位的形成机理及确定方法[J]. 地球科学——中国地质大学学报, 2003, 28(5): 483-491. https://www.cnki.com.cn/Article/CJFDTOTAL-DQKX200305002.htmCHEN C X. Forming mechanism and calculating methods of the water level in a conventional observation wellbore on the condition of three-dimensional groundwater flow [J]. Earth Science-Journal of China University of Geosciences, 2003, 28(5): 483-491. https://www.cnki.com.cn/Article/CJFDTOTAL-DQKX200305002.htm [47] Therrien R, Sudicky E A. Well bore boundary conditions for variably saturated flow modeling[J]. Adv Water Resour, 2001, 24(2): 195-201. [48] Tarshish M. Combined mathematical model of flow in an aquifer-horizontal well system[J]. Ground Water, 1992, 30(6): 931-935. doi: 10.1111/j.1745-6584.1992.tb01576.x [49] Chen C X, Wan J W, Zhan HB. Theoretical and experimental studies of coupled seepage-pipeflow to a horizontal well[J]. Journal of Hydrology, 2003 (in press). [50] 陈崇希, 裴顺平. 地下水开采-地面沉降数值模拟及防治对策研究[M]. 武汉: 中国地质大学出版社, 2001.CHEN C X, PEI S P. Numerical simulation ofland subsidence due to groundwater withdrawal and its prevention countermeasure[M]. Wuhan: China University of Geosciences Press, 2001. [51] Chen C X, Pei S P, Jiao J J. Land subsidence caused by groundwater exploitation in Suzhou city, China[J]. Hydrogeology Journal, 2003, 11: 275-287. doi: 10.1007/s10040-002-0225-5 [52] Pei S P, ChenC X, Jiao J J. Geological hazards relatedto groundwater exploitation-Land subsidence in Suzhou city, China[A]. In: Wang Y, ed. Proceedings of the international symposium on hydrogeology and theenvironment[C]. Wuhan: China Environmental Science Press, 2000.546-552. [53] 陈崇希. "防止模拟失真, 提高仿真性"是数值模拟的核心[J]. 水文地质工程地质, 2003, 30 (2): 1-5. doi: 10.3969/j.issn.1000-3665.2003.02.001CHEN C X. "To prevent modellossin reality andimprove model accuracy" is the key of groundwater numerical modeling[J]. Hydrogeology and Engineering Geology, 2003, 30(2): 1-5. doi: 10.3969/j.issn.1000-3665.2003.02.001 [54] 陈崇希. 滞后补给权函数——降雨补给潜水滞后性处理方法[J]. 水文地质工程地质, 1998, 25(6): 22-24. https://www.cnki.com.cn/Article/CJFDTOTAL-SWDG806.006.htmCHEN C X. "hysteresis recharge weight function" method: For solving the rainfall hysteretic recharge to the water table[J]. Hydrogeology and Engineering Geology, 1998, 25(6): 22-24. https://www.cnki.com.cn/Article/CJFDTOTAL-SWDG806.006.htm [55] 陈崇希, 裴顺平. 地下水开采-地面沉降模型研究[J]. 水文地质工程地质, 2001, 28(2): 5-8. doi: 10.3969/j.issn.1000-3665.2001.02.002CHEN C X, PEI S P. The research on the model of groundwater withdrawal with land subsidence[J]. Hydrogeology and Engineering Geology, 2001, 28 (2): 5- 8. doi: 10.3969/j.issn.1000-3665.2001.02.002 [56] 陈崇希, 黎明, 刘文波. 单斜含水层-泉流系统概念模型研究[J]. 地球科学——中国地质大学学报, 2002, 27 (2): 140, 198. https://www.cnki.com.cn/Article/CJFDTOTAL-DQKX200202005.htmCHEN C X, LI M, LIU W B. The research for the concept model of the single declining aquifers-spring system [J]. Earth Science-Journal of China University of Geosciences, 2002, 27(2): 140, 198. https://www.cnki.com.cn/Article/CJFDTOTAL-DQKX200202005.htm [57] 陈崇希, 裴顺平, 王逊. 非完整河的数值模拟方法及建模中的若干问题——读"数值模拟方法在评价地下水资源时区内河流的处理方法"一文随笔[J]. 勘察科学技术, 1999, (4): 3-6. doi: 10.3969/j.issn.1001-3946.1999.04.001CHEN C X, PEI S P, WANG X. The numerical simulated method of partial penetration river and problems in the establishment models[J]. Site Investigation Science and Technology, 1999, (4): 3-6. doi: 10.3969/j.issn.1001-3946.1999.04.001
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