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                    Chapter 11










                                         Hydrology: Rainfall and Runoff





                    11.1  BACKGROUND
                                         Hydrology is the science of water in nature: its properties, distribution, and behavior.
                                         Statistical hydrology is the application of statistical methods of analysis to measurable
                                         hydrologic events for the purpose of arriving at engineering decisions. By the introduc-
                                         tion of suitable statistical techniques, “enormous amounts of quantitative information can
                                         often be reduced to a handful of parameters that convey, clearly and incisively, the under-
                                         lying structure of the original or raw data. These estimates are important for engineers
                                         and economists so that proper risk analysis can be performed to influence investment de-
                                         cisions in future infrastructure and to determine the yield reliability characteristics of
                                         water supply systems (Fair, Geyer, and Okun, 1966).
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                                             The total water resource of Earth is approximately 330   10 mile or 363   10 9
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                                         billion gallons (BG) or 1374   10 billion liters (BL) about 95% in the oceans and seas
                                          and 2% in the polar ice caps. However, the 35 g/L of salt in seawater and the remoteness
                                          as well as fundamentally ephemeral nature of the polar ice caps interfere with their use.
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                                          This leaves as the potential freshwater resource of Earth no more than 10.9   10 BG
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                                         (41.3   10 BL) in lakes, streams, permeable soils, and the atmosphere; only about 3%
                                          is in the atmosphere, the remainder being split almost equally between surface and
                                          ground.
                                             Fortunately, the hydrosphere is not static; its waters circulate (Fig. 11.1). Between
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                                          110   10 and 130   10 BG (416   10 and 492   10 BL) of water fall annually from
                                          the skies, about a quarter onto the continents and islands and the remainder onto the seas;
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                                          10   10 to 11   10 BG (37.8   10 to 41.6   10 BL) return to the oceans as annual
                                          runoff. In overall estimates about a third of the land mass of Earth is classified as well
                                          watered, the remainder as semiarid and arid.
                                             Within the contiguous United States, the 100th meridian (it matches the western
                                          boundary of Oklahoma and splits North Dakota, South Dakota, Nebraska, Kansas, and
                                          Texas) is the general dividing point between annual rainfalls of 20 in. (508 mm) or more to
                                          the East and, except for the Pacific slopes, less than 20 in. (508 mm) to the West. The total
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                                          length of surface streams is about 3   10 miles (4.83   10 km) and the five Great Lakes,
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                                         four of them shared with Canada, hold 7.8   10 BG (29.5   10 BL), and constitute
                                          geographically the largest surface storage of freshwater on Earth.
                                             As shown in Fig. 11.1, water is transferred to Earth’s atmosphere (a) through the
                                          evaporation of moisture from land and water surfaces and (b) through the transpiration of
                                          water from terrestrial and emergent aquatic plants. Solar radiation provides the required
                                          energy. Internal or dynamic cooling of rising, moisture-laden air and its exposure to cold at
                                          high altitudes eventually lower the temperature of ascending air masses to the dew point,
                                          condense the moisture, and precipitate it on land and sea. Overland and subsurface flows
                                          complete the hydrologic cycle.


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