# Crude-Oil Boom and Coming Bust in North Dakota

L. David Roper
http://www.roperld.com/personal/RoperLDavid.htm
2 July, 2016
World Fossil Fuels Depletion

## Introduction

The U.S. state of North Dakota is having a boom in extracting crude oil by the technique of fractionating ("fracking") shale/dolomite formations. A "boom" in nonrenewable resource extraction from the Earth is defined as a time period in which extraction is occurring very fast in a given area; thus, many workers come in from outside the area to man the drilling rigs, to build housing for the oil workers and to provide other services for the increased population.

This article shows mathematically that the North Dakota crude-oil boom will become a bust within a decade. A "bust" in nonrenewable resource extraction from the Earth is defined to begin at the time when extraction of the resource peaks and then falls to negligible amounts over a time period.

## Crude-Oil Extraction Data for North Dakota

The U.S. Energy Information Administration gives monthly and annual crude-oil extraction data for North Dakota since 1981. Earlier data are available back to 1952.

Those data are fitted by a depletion function, the Verhulst function, in this study to determine when the extraction will peak.

The data and the fits to the data are given in a later section.

## Crude-Oil Reserves for North Dakota

A reliable estimate of reserves is needed to fit extraction data by a function for projecting into the future for a nonrenewable resource Here is a good definition of reserves of a nonrenewable resource.

The U.S. Energy Information Administration gives reserves estimates from 1977 to 2011 for crude-oil extraction in North Dakota, which are shown here by black dots for years 2005 to 2011:

The curve is a fit to the 7 data using the Verhulst function described in the next section, assuming that the curve will be symmetrical. Since the reserves estimates have been rising each year since 2007, the fit is done to get a rough estimate of the peak value of the reserves estimate in the future, which is 16.2 x 109 barrels.

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## Verhulst-Function Fit to Crude-Oil Extraction Data for North Dakota

The asymmetry parameter, n, must be greater than 0.

where

The maximum of P(t) occurs at , which yields the peak value  .

For the symmetric case (n=1):  and .

For a depletion situation for which there are N peaks the depletion function is:

.

One needs an estimate of the amount of asymmetry, described by the parameter n, for the future peak due to fracking for shale natural gas for the Marcellus play, which can be obtained from the macro-analysis of the Bakken play by J. David Hughes (Drilling Deeper).

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## Hughes Bakken Micro-Analysis

J. David Hughes (Drilling Deeper) has done a micro-analysis of the Bakken tight-oil play, which is very largely in North Dakota:

“Most Likely Rate” scenario of Bakken tight-oil extraction including both North Dakota and Montana which rate is very small.

Hughes' Bakken curve is asymmetric; i.e., n > 1..

I fitted a Verhulst function to the Hughes Bakken curve to get the asymmetric parameter n:

The asymmetric parameter is 3.4. (The Y-axis has been changed from 10^9 ft^3/day to 10^12 ft^3/yr.)

Then a Verhulst fit was done to the North Dakota tight-oil extraction data with the asymmetric parameter fixed at 3.4:

All Verhulst parameters were varied except the n parameter for the future peak, which was set at 3.4. The calculated 2013 reserves for this curve is 7.77 x 1012 ft3, much below the estimated reserves value (16 x 1012 ft3) given above.

The extraction is projected to peak several years before 2020 and then fall rapidly in future years.

The onset of the bust could be extended out to later years by imposing environmental regulations and/or taxes on the extraction of crude oil, thereby reducing the extraction rate.

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## Conclusion

Even for very high estimates of crude-oil reserves for its extraction in North Dakota, the current boom will turn into a bust in less than a decade.

It would be wise for North Dakota to use the current crude-oil boom to build the policies and infrastructure for collecting energy from wind and solar, for encouraging drivers to drive electric vehicles and for fast charging stations for electric vehicles in personal and parking garages. Wind energy in North Dakota has a good start already.

It would be wise for the government of North Dakota to do some decade-long planning about how to best manage the coming crude-oil-extraction bust. A tax on crude-oil extraction to put in a fund to help manage the bust and to clean up the mess made by the extraction would be wise. Such tax might have an added benefit of slowing down the extraction so that the bust will not occur so soon, giving more time to prepare for it.

• A similar analysis has been done by the author for natural-gas extraction for North Dakota.
• A similar analysis has been done by the author for natural-gas extraction for Pennsylvania.
• A similar analysis has been done by the author for natural-gas extraction for Colorado.
• A similar analysis has been done by the author for natural-gas extraction for Oklahoma.
• A similar analysis has been done by the author for crude-oil extraction for Texas.
• A similar analysis has been done by the author for crude-oil extraction for Oklahoma.
• A similar analysis has been done by the author for natural-gas extraction for Louisiana.
• A similar analysis has been done by the author for crude-oil extraction for United States.

## References

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L. David Roper, http://arts.bev.net/RoperLDavid/
2 July, 2016