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منهج هاردي كروس×نمذجة تدفق المياه الجوفية MODFLOW×
المجالالهندسة المدنيةالهندسة المدنية
العائلةProcess / pipelineProcess / pipeline
سنة النشأة19361984 (original release); continuously updated through MODFLOW-6 (2017)
صاحب الطريقةHardy CrossMichael G. McDonald and Arlen W. Harbaugh (U.S. Geological Survey)
النوعIterative method for pipe network flow distributionNumerical groundwater flow simulation
المصدر التأسيسيCross, H. (1936). Analysis of flow in networks of conduits or conductors. University of Illinois Bulletin, 34(17), 3-29. link ↗Harbaugh, A. W. (2005). MODFLOW-2005, the U.S. Geological Survey modular ground-water model — the Ground-Water Flow Process. U.S. Geological Survey Techniques and Methods 6-A16. link ↗
الأسماء البديلةCross method, Moment distribution method, Iterative balancingMODFLOW-2005, MODFLOW-6, modular groundwater flow model, USGS groundwater model
ذات صلة30
الملخصThe Hardy Cross method is an iterative technique for solving steady-state flow distribution in pipe networks, originally developed for water distribution systems. Introduced by Hardy Cross in 1936, this method balances flow continuity and pressure head constraints through successive iterations, making it ideal for hand calculations and gaining physical insight into network behavior.MODFLOW is the U.S. Geological Survey's open-source, modular finite-difference model for simulating three-dimensional groundwater flow through porous media. First released in 1984 and continuously updated — most recently as MODFLOW-6 — it is the global standard for quantitative hydrogeological analysis, widely used in civil engineering, environmental consulting, water-resource management, and groundwater contamination studies.
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ScholarGateقارن الطرق: Hardy Cross Method · MODFLOW Groundwater Modeling. استُرجع بتاريخ 2026-06-15 من https://scholargate.app/ar/compare