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TABLE 7-5

            The world’s ten  largest oil fields in  1968 ranked according to ultimate recoverable reserve
            estimates (from  Halbouty  et al.,  1970, table  I,  facing p.  504). Figures in thousands of
            millions of  barrels
                              __
                                         Reserves                Zipf constant

              1   Ghawar                 75                       75
              2   Burgan                 66                      122
              3   Bolivar                30                       90
              4   Safaniya-Khafji        25                      100
              5   Prudhoe Bay            20                      100
              6   Samotlor               15                       90
              7   Kirkuk                 15                      105
              8   Romashkino             14.3                    114
              9   Rumaila                13.6                    122
             10   Abqaiq                 12.0                    120
            100   Quirequire              1 .o                   100

            150   Santa Fe                0.615                   92
            ____                    __.__

            TABLE 7-6
            The sizes of  the ten largest  oil accumulations in  the world predicted  by Zipf’s law if the
            total ultimate recoverable reserves are 1800 X  lo9 bbl. Figures in thousands of  millionsof
            barrels
                                              -
            1      2       3      4      5      6       7      8      9      10
            150    75      50     38     30     25     21      19     17     15


               If  the  ultimate  recoverable  reserves  are  1450 thousand  million  barrels,
            Rank  300  would  contain  400  million  barrels  of  recoverable  oil  and Rank
            100,000 would contain 1.2 million. If there are 1800 thousand million barrels,
            Rank  300 would  contain 500 million, and rank  100,000 would contain 1.5
            million.  We  have  already  found  more  than  300 fields with  more than 400
            million barrels - indeed, nearly  300 with  more than  500 million  - so even
            the larger figure may be conservative. This figure of  1800 X  lo9 bbl is compa-
            rable with the 2000 X  lo9 bbl estimated by Moody and Esser (1975) by other
            means.  The  largest  15 accumulations  would  contain  28% (3.32/12) of  the
            total, and the 264 largest accumulations would  contain 51% (6.16/12). The
            1975 figures (Moody and  Esser, 1975, p.  17, table IV) are 35 and 72%, re-
            spectively,  suggesting that if  Zipf’s law is valid  for oil accumulations, there
            has been a successful bias towards the larger accumulations. The ten largest
            accumulations predicted  by  Zipf’s law for total ultimate recoverable reserves
            of  1800 X  lo9 bbl  are  shown  in  Table  7-6. This is a plausible result, and
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