"Table 7. Growth factors from the Arrington Model - 1996 (Arrington, 1960)." "Multipliers, for Forecasts" Years Since Discovery Annual Oil Factors Annual Gas Factors Cumulative Oil Factors Cumulative Gas Factors 30-Year Oil 30-Year Gas 80-Year Oil 80-Year Gas 0 1.97943 1.78997 1.00000 1.00000 4.81143 5.23719 6.91734 8.38694 1 1.15577 1.24935 1.97943 1.78997 2.46024 2.97223 3.51842 4.72922 2 1.11982 1.07990 2.28777 2.23630 2.14626 2.41473 3.08894 3.94026 3 1.06252 1.08409 2.56190 2.41499 1.94610 2.26926 2.81072 3.87807 4 1.02218 1.07722 2.72207 2.61807 1.85609 2.12181 2.69317 3.63301 5 1.05230 1.05423 2.78244 2.82024 1.84003 1.97556 2.67248 3.56125 6 1.05480 1.06453 2.92794 2.97318 1.77085 1.91602 2.55377 3.04147 7 1.04379 1.02444 3.08840 3.16503 1.69793 1.81873 2.50251 3.23010 8 1.02737 1.03460 3.22365 3.24237 1.63950 1.79341 2.44178 3.16211 9 1.03974 1.02780 3.31189 3.35454 1.59589 1.74937 2.39568 2.92707 10 1.02805 1.04436 3.44349 3.44778 1.55038 1.71144 2.29737 2.90556 11 1.02455 1.02966 3.54009 3.60072 1.51929 1.65029 2.23143 2.78215 12 1.01945 1.02228 3.62699 3.70752 1.49290 1.62114 2.20380 2.80167 13 1.02910 1.03069 3.69754 3.79013 1.47993 1.60284 2.17763 2.91898 14 1.01415 1.02137 3.80514 3.90645 1.44940 1.57360 2.13144 3.23189 15 1.01605 1.03272 3.85899 3.98993 1.44751 1.55123 2.11995 3.47551 16 1.01921 1.01639 3.92091 4.12047 1.43140 1.51791 2.08646 3.36540 17 1.02924 1.01611 3.99623 4.18799 1.42103 1.51501 2.04714 3.31115 18 1.00753 1.02129 4.11307 4.25546 1.39224 1.49937 1.98899 3.25865 19 1.01960 1.01437 4.14402 4.34606 1.38338 1.48155 1.97413 3.19072 20 1.01021 1.01840 4.22523 4.40852 1.36117 1.47481 1.93619 3.14551 21 1.00951 1.01942 4.26837 4.48962 1.35430 1.46781 1.91662 3.08869 22 1.01988 1.01447 4.30896 4.57679 1.34912 1.45194 1.89856 3.02986 23 1.01351 1.02221 4.39464 4.64304 1.32971 1.45365 1.86155 2.98663 24 1.01349 1.01301 4.45399 4.74615 1.31975 1.43278 1.83674 2.92174 25 1.01242 1.01356 4.51409 4.80788 1.31009 1.42530 1.81229 2.88423 26 1.01541 1.01768 4.57013 4.87307 1.29592 1.41783 1.79007 2.84565 27 1.01598 1.01084 4.64057 4.95922 1.27933 1.40622 1.76290 2.79622 28 1.01052 1.02040 4.71473 5.01297 1.26425 1.39348 1.73517 2.76623 29 1.00989 1.02385 4.76432 5.11521 1.25830 1.39014 1.71711 2.71094 30 1.01215 1.01585 4.81143 5.23719 1.25104 1.36251 1.70029 2.64780 31 1.00827 1.01502 4.86988 5.32019 1.23928 1.35101 1.67989 2.60650 32 1.01539 1.01484 4.91015 5.40008 1.23473 1.33854 1.66611 2.56793 33 1.01337 1.01365 4.98572 5.48022 1.22102 1.32331 1.64085 2.53038 34 1.01334 1.00297 5.05239 5.55504 1.21236 1.33528 1.61920 2.49630 35 1.01273 1.02246 5.11978 5.57154 1.19951 1.34107 1.59789 2.48890 36 1.01137 1.01047 5.18495 5.69668 1.19354 1.31137 1.57781 2.43423 37 1.00787 1.01018 5.24388 5.75632 1.19493 1.31237 1.56008 2.40901 38 1.00005 1.00919 5.28516 5.81491 1.19736 1.30216 1.54789 2.38474 39 1.01008 1.00551 5.28543 5.86832 1.20464 1.30308 1.54781 2.36303 40 1.00744 1.00704 5.33872 5.90066 1.19835 1.31058 1.53236 2.35008 41 1.00675 1.01147 5.37844 5.94223 1.19660 1.30719 1.52105 2.33364 42 1.01059 1.01074 5.41475 6.01041 1.19516 1.31114 1.51084 2.30717 43 1.00787 1.01189 5.47209 6.07497 1.18745 1.32126 1.49501 2.28265 44 1.01283 1.00685 5.51516 6.14721 1.18806 1.29722 1.48334 2.25583 45 1.00473 1.01054 5.58593 6.18929 1.18197 1.29825 1.46454 2.24049 46 1.01183 1.01445 5.61238 6.25451 1.18409 1.30162 1.45764 2.21713 47 1.00839 1.00562 5.67877 6.34486 1.17955 1.29590 1.44060 2.18556 48 1.00111 1.00915 5.72640 6.38050 1.18661 1.30216 1.42862 2.17335 49 1.00323 1.00976 5.73277 6.43888 1.19290 1.28646 1.42703 2.15364 50 1.00511 1.01356 5.75127 6.50172 1.20275 1.28996 1.42244 2.13283 51 1.00565 1.00839 5.78065 6.58990 1.20479 1.28456 1.41521 2.10429 52 1.00520 1.01567 5.81333 6.64521 1.21562 1.32601 1.40726 2.08677 53 1.00592 1.00753 5.84359 6.74936 1.23226 1.38761 1.39997 2.05457 54 1.00607 1.00771 5.87818 6.80021 1.24715 1.39870 1.39173 2.03921 55 1.00147 1.00825 5.91384 6.85267 1.25739 1.46564 1.38334 2.02360 56 1.00241 1.00934 5.92255 6.90919 1.26251 1.30881 1.38131 2.00704 57 1.00401 1.00168 5.93680 6.97374 1.30184 1.46598 1.37799 1.98847 58 1.00576 1.01795 5.96061 6.98546 1.32058 1.46773 1.37249 1.98513 59 1.00406 1.00349 5.99495 7.11086 1.32349 1.38084 1.36462 1.95012 60 1.00263 1.00727 6.01930 7.13570 1.31427 1.40389 1.35910 1.94333 61 1.00456 1.00565 6.03516 7.18760 1.30891 1.39375 1.35553 1.92930 62 1.00412 1.00330 6.06270 7.22819 1.31842 1.43704 1.34937 1.91846 63 1.00619 1.02282 6.08766 7.25203 1.32265 1.52555 1.34384 1.91216 64 1.00260 1.00732 6.12533 7.41753 1.32408 1.70208 1.33558 1.86950 65 1.00768 0.99982 6.14124 7.47180 1.33212 1.85592 1.33212 1.85592 66 1.01255 1.01123 6.18843 7.47048 1.32196 1.85624 1.32196 1.85624 67 1.00992 1.00232 6.26607 7.55440 1.30558 1.83562 1.30558 1.83562 68 1.00613 1.00990 6.32823 7.57195 1.29275 1.83137 1.29275 1.83137 69 1.00481 1.01130 6.36705 7.64688 1.28487 1.81342 1.28487 1.81342 70 1.00597 1.00443 6.39767 7.73331 1.27872 1.79316 1.27872 1.79316 71 1.00554 1.01453 6.43586 7.76760 1.27114 1.78524 1.27114 1.78524 72 1.00407 1.01854 6.47149 7.88047 1.26414 1.75967 1.26414 1.75967 73 1.00839 0.99348 6.49781 8.02661 1.25902 1.72763 1.25902 1.72763 74 1.00764 1.00765 6.55234 7.97430 1.24854 1.73897 1.24854 1.73897 75 1.00654 1.01316 6.60238 8.03527 1.23908 1.72577 1.23908 1.72577 76 1.00795 1.00999 6.64558 8.14099 1.23102 1.70336 1.23102 1.70336 77 1.01442 1.01047 6.69839 8.22230 1.22132 1.68652 1.22132 1.68652 78 1.00642 0.99699 6.79500 8.30841 1.20395 1.66904 1.20395 1.66904 79 1.01151 1.01250 6.83861 8.28338 1.19627 1.67408 1.19627 1.67408 80 1.00682 1.00932 6.91734 8.38694 1.18266 1.65341 1.18266 1.65341 81 1.01469 1.04093 6.96449 8.46514 1.17465 1.63813 1.17465 1.63813 82 1.01896 1.06286 7.06679 8.81162 1.15765 1.57372 1.15765 1.57372 83 1.01808 1.01559 7.20079 9.36548 1.13610 1.48065 1.13610 1.48065 84 1.01433 1.05594 7.33098 9.51145 1.11593 1.45793 1.11593 1.45793 85 1.00555 0.90036 7.43600 10.04356 1.10017 1.38069 1.10017 1.38069 86 1.03363 1.13055 7.47729 9.04283 1.09409 1.53348 1.09409 1.53348 87 1.01846 1.00287 7.72875 10.22336 1.05850 1.35641 1.05850 1.35641 88 1.00798 0.95769 7.87144 10.25274 1.03931 1.35252 1.03931 1.35252 89 0.99707 1.02024 7.93425 9.81897 1.03108 1.41227 1.03108 1.41227 90 0.99855 1.00000 7.91097 10.01773 1.03411 1.38425 1.03411 1.38425 91 1.01186 1.03689 7.89948 10.01773 1.03562 1.38425 1.03562 1.38425 92 1.00734 1.06509 7.99318 10.38724 1.02348 1.33501 1.02348 1.33501 93 1.00727 1.14118 8.05187 11.06333 1.01602 1.25342 1.01602 1.25342 94 1.00868 1.09836 8.11042 12.62521 1.00868 1.09836 1.00868 1.09836 95 0.98952 1.05051 8.18085 13.86704 1.00000 1.00000 1.00000 1.00000 96 1.00000 1.00000 8.18085 13.86704 1.00000 1.00000 1.00000 1.00000 97 1.00000 1.00000 8.18085 13.86704 1.00000 1.00000 1.00000 1.00000 98 1.00000 1.00000 8.18085 13.86704 1.00000 1.00000 1.00000 1.00000 99 1.00000 1.00000 8.18085 13.86704 1.00000 1.00000 1.00000 1.00000 100 1.00000 1.00000 8.18085 13.86704 1.00000 1.00000 1.00000 1.00000