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Hubbert curve

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After the predicted early-1970s peak of oil production in the U.S., production declined over the following 35 years in a pattern closely matching the Hubbert curve. However, new extraction methods began reversing this trend beginning in the mid-2000s decade, with production reaching 10.07 million b/d
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Using the curve, Hubbert modeled the rate of petroleum production for several regions, determined by the rate of new oil well discovery, and extrapolated a world production curve. The relative steepness of decline in this projection is the main concern in peak oil discussions. This is because a steep
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The actual shape of a graph of real world production trends is determined by various factors, such as development of enhanced production techniques, availability of competing resources, and government regulations on production or consumption. Because of such factors, real world Hubbert curves are
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in November 2017 – the highest monthly level of crude oil production in U.S. history. As such, the Hubbert curve has to be calculated separately for different oil provinces, whose exploration has started at a different time, and oil extracted by new techniques, sometimes called
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drop in the production implies that global oil production will decline so rapidly that the world will not have enough time to develop sources of energy to replace the energy now used from oil, possibly leading to drastic social and economic impacts.
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concerns. Basing his calculations on the peak of oil well discovery in 1948, Hubbert used his model in 1956 to create a curve which predicted that oil production in the
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Drilling and Production Practice (1956) American Petroleum Institute & Shell Development Co. Publication No. 95, See Pp 9-11, 21-22
519: 98:), but the two have a similar appearance. The density of a Hubbert curve approaches zero more slowly than a gaussian function: 448: 398: 558: 237:{\displaystyle x={e^{-t} \over (1+e^{-t})^{2}}={1 \over 2+2\cosh t}={1 \over 4}\operatorname {sech} ^{2}{t \over 2}.} 345:, resulting in individual Hubbert cycles. The Hubbert Curve for US oil production is generally measured in years. 500: 83: 43: 538: 354: 548: 63: 300:
Hubbert models have been used to predict the production trends of various resources, such as
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is an approximation of the production rate of a resource over time. It is a symmetric
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a gradual rise from zero resource production that then increases quickly
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of various natural resources. The curve is the main component of
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a drop from the peak that then follows a steep production decline.
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The graph of a Hubbert curve consists of three key elements:
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further mathematical manipulations by a Stanford professor
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Index

Hubbert peak theory
Peak oil
logistic distribution
gaussian function
M. King Hubbert
American Petroleum Institute
Shell Oil Company
depletion
Hubbert peak theory
peak oil
contiguous United States

probability density function
logistic distribution
gaussian function
normal distributions
Hubbert peak
Peak oil
Hubbert peak theory
natural gas
Coal
fissionable materials
Helium
copper
water
whaling
cod
unconventional oil
Bioeconomics (biophysical)
Energy accounting

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