We developed a model for oil production on the basis of simple physical considerations. The model provides a basic understanding of Hubbert’s empirical observation that the production rate for an oil-producing region reaches its maximum when approximately half the recoverable oil has been produced. According to the model, the oil production rate at a large field must peak before drilling peaks. We use the model to investigate the effects of several drilling strategies on oil production. Despite the model’s simplicity, predictions for the timing and magnitude of peak production match data on oil production from major oil fields throughout the world.
REFERENCES
1.
M. K.
Hubbert
, “Energy from fossil fuels
,” Science
109
, 103
–109
(1949
).2.
M. K.
Hubbert
, “The world’s evolving energy system
,” Am. J. Phys.
49
, 1007
–1029
(1981
).3.
J.
Wells
, “Crude oil: Uncertainty about future oil supply makes it important to develop a strategy for addressing a peak and decline in oil production
,” in GAO Report to Congressional Requesters GAO-07-28 (2007
).4.
K. S.
Deffeyes
, “World’s oil production peak reckoned in near future
,” Oil & Gas J.
100
, 46
–48
(2002
).5.
A. A.
Bartlett
, “An analysis of U.S. and world oil production patterns using Hubbert-style curves
,” Math. Geol.
32
, 1
–17
(2000
).6.
L. F.
Ivanhoe
, “Updated Hubbert curves analyze world oil supply
,” World Oil
217
, 91
–94
(1996
).7.
A. M. S.
Bakhtiari
, “World oil production capacity model suggests output peak by 2006–07
,” Oil Gas J.
102
, 18
–20
(2004
).8.
J. D.
Edwards
, “Crude oil and alternative energy production forecasts of the twenty-first century
,” Am. Assoc. Pet. Geol. Bull.
81
, 1292
–1305
(1997
).9.
S. H.
Mohr
and G. M.
Evans
, “Mathematical model forecasts year conventional oil will peak
,” Oil & Gas J.
105
, 45
–50
(2007
).10.
M. A.
Adelman
and M. C.
Lynch
, “Fixed view of resource limits creates undue pessimism
,” Oil & Gas J.
95
, 56
–60
(1997
).11.
R.
Amit
, “Petroleum reservoir exploitation: Switching from primary to secondary recovery
,” Oper. Res.
34
, 534
–549
(1986
).12.
N. J.
Hyne
, Nontechnical Guide to Petroleum Geology, Exploration, Drilling and Production
, 2nd ed. (Pennwell Books
, Tulsa, OK
, 2001
).13.
We have also developed a model of primary recovery. See
R. J.
Wiener
and D. M.
Abrams
, “A physical basis for Hubbert’s decline from the midpoint empirical model of oil production
,” WIT Transactions on Ecology and the Environment: Energy and Sustainability
105
, 377
–383
(2007
).14.
U.
Bardi
, “The mineral economy: A model for the shape of oil production curves
,” Energy Policy
33
, 53
–61
(2005
).15.
We take to be approximately constant even as the oil fraction changes because . The combined density should not change by more than a small factor when oil is mixed with water or similar fluids.
16.
Tech. Rep., “
Worldwide Production
,” Oil & Gas J.
71–103
(1973–2005
).17.
Tech. Rep., UK Department of Energy and Climate Change, Petroleum Production Reporting System Field Development Reports (1973–2009). Available at ⟨www.og.decc.gov.uk/pprs/full_production.htm⟩.
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