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Future of the Canadian Oil Sector: Insights from a Forecasting-Planning Approach

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It is increasingly important to provide the relevant data for strategic decisions related to oil production and the marketing of oil products. We propose the use of a forecasting model to define a production profile for the Canadian oil sector to 2050. Our approach considers both economic variables (prices) and physical variables (production and infrastructure) by establishing a link between well count, oil price, and oil production. Our methodology is based on practices developed in the oil industry. Indeed, the well count is used as a key component of planning and decision-making in matters such as capital and operational expenditures. We combine our approach with the Hubbert logistic function to take into account the impact of the age of the producing wells. We calibrate our forecasting model using a Canadian database of historical production data. The records come from the Eastern Canada offshore and Canadian oil sands projects that are of growing importance in the national oil production. We test our model under a particular scenario for oil prices, including an extrapolation of the historical price trends. Our results show the evolution of oil production and indicate when peak production is achieved for each of the oil sources considered.
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Les Cahiers du GERAD ISSN: 0711–2440
Future of the Canadian Oil Sector:
Insights from a Forecasting-Planning
Approach
Y. Alcocer, O. Bahn, C. Fertel,
K. Vaillancourt, J.-Ph. Waaub
G–2013–19
April 2013
Revised: November 2013
Les textes publi´es dans la s´erie des rapports de recherche HEC n’engagent que la responsabilit´e de leurs auteurs. La publication de
ces rapports de recherche b´en´eficie d’une subvention du Fonds de recherche du Qu´ebec – Nature et technologies.
Future of the Canadian Oil Sector: Insights from a
Forecasting-Planning Approach
Yuri Alcocer
GERAD & HEC Montr´eal
Montr´eal (Qu´ebec) Canada, H3T 2A7
and North Atlantic Refining, St. John’s, Newfoundland, Canada
YuriAlcocer@northatlantic.ca
Olivier Bahn
Camille Fertel
GERAD & HEC Montr´eal
Montr´eal (Qu´ebec) Canada, H3T 2A7
olivier.bahn@hec.ca
camille.fertel@gerad.ca
Kathleen Vaillancourt
Jean-Philippe Waaub
GERAD & Universit´e du Qu´ebec `a Montr´eal
Montr´eal (Qu´ebec) Canada, H3C 3P8
kathleen.vaillancourt@gerad.ca
waaub.jean-philippe@uqam.ca
April 2013
Revised: November 2013
Les Cahiers du GERAD
G–2013–19
Copyright c
2013 GERAD
ii G–2013–19 Les Cahiers du GERAD
Abstract: It is increasingly important to provide the relevant data for strategic decisions related to oil
production and the marketing of oil products. We propose the use of a forecasting model to define a production
profile for the Canadian oil sector to 2050. Our approach considers both economic variables (prices) and
physical variables (production and infrastructure) by establishing a link between well count, oil price, and
oil production. Our methodology is based on practices developed in the oil industry. Indeed, the well count
is used as a key component of planning and decision-making in matters such as capital and operational
expenditures. We combine our approach with the Hubbert logistic function to take into account the impact
of the age of the producing wells. We calibrate our forecasting model using a Canadian database of historical
production data. The records come from the Eastern Canada offshore and Canadian oil sands projects that
are of growing importance in the national oil production. We test our model under a particular scenario
for oil prices, including an extrapolation of the historical price trends. Our results show the evolution of oil
production and indicate when peak production is achieved for each of the oil sources considered.
Key Words: Forecasting, Hubbert, Well Count, Oil production, Oil prices, Oil reserves, Oil sands, Onshore,
Offshore, Infrastructure.
Les Cahiers du GERAD G–2013–19 1
1 Introduction
Given the complexity of oil markets, there is an ongoing need to create more accurate and reliable models to
explain and predict evolutions in oil production, regulations, and prices. The models are necessarily simplified
representations that aim to reflect real-world tendencies.
The estimation and forecasting of recoverable oil is difficult because reserves can vary from one year (and
one source) to the next depending on technological, economic, and political considerations. Technological
improvements reduce costs and increase access to resources that were not available before. Likewise, a better
economic environment stimulates the energy demand, yielding higher oil prices that make more expensive
projects profitable. Reserve data is also important for governments and companies because this information
gives access to production quotas, as in the OPEC case, or to financing resources because the value of the
fields is related to the reserves. BP (British Petroleum) reports illustrate these variations for 2006 and 2010:
(BP, 2006) assesses Canadian proven reserves for 2006 at 17.1 million barrels per day (MMbpd), while (BP,
2010) assesses the value for the same year at 27.6 MMbpd, with a further increase to 32.1 MMbpd for 2010.
Note that the economic and technological dimensions of the reserves are easier to model than the political
dimension. In particular, the technological aspect can be modelled using the cumulative stock (Holland,
2008), and the economic aspect is related to the concept of the supply curve (Besanko and Braeutigam,
2011).
This article considers in particular unconventional oil and offshore production. The former category
consists of extra-heavy crude oil, oil sands, and oil shale. These unconventional oil sources are more labour-
intensive to produce, require extra energy to refine, have higher production costs, and are often in remote
locations. Additionally, they present other problems such as higher greenhouse gas (GHG) emissions (up to
three times more GHG emissions per barrel than conventional sources (Arsenault, 2008; Charpentier, Berg-
erson, and MacLean , 2009)), waste management issues, and water usage issues. This article also considers
offshore production, which is mostly light oil, because of its recent growth and the challenges associated
with such technological development. The exploitation is more complex because of the remote locations.
Additionally, offshore developments present a risk of ecological disasters, such as the one that occurred in
the Gulf of Mexico in 2010. All these factors have contributed to the postponement of unconventional oil
exploitation. However, the transformation experienced by oil markets, mainly significantly higher price lev-
els, now permits the development of these expensive resources. Three of the key unconventional sources for
large-scale production are the extra-heavy oil in the Orinoco Belt of Venezuela, the oil sands in the Western
Canada Sedimentary Basin (WCSB), and the oil shale of the Green River Formation in Colorado, Utah, and
Wyoming in the United States.
Canada is an important energy producer, in the sixth position globally; the United States is the main
consumer of Canadian energy products (BP, 2010). In 2008 Canadian oil production was led by Alberta, which
produced approximately 67% of the total, while Eastern Offshore production represented approximately 13%
(Canadian Association of Petroleum Producers (CAPP), 2009). Over the last 10 years, Alberta’s production
share has decreased by 6%, while Eastern Offshore production increased by 10% between 1998 and 2008
(CAPP, 2009). Despite these changes, Western Canada (British Columbia, Alberta, Saskatchewan, and
Manitoba) continues to lead oil production with a share of approximately 86% (CAPP, 2009). In parallel,
there has been a decrease in the share of conventional oil: conventional production accounted for 74% of
the total in 1998, and 53% in 2008 (a decrease of approximately 20%) (CAPP, 2009). Thus, the decline in
the percentage of conventional energy sources runs parallel with an increase in unconventional sources. In
particular, oil sands production has experienced significant growth, rising from 26% of the total in 1998 to
47% in 2008 (CAPP, 2009). Considering the oil production by province and by source reveals an interesting
new trend for Canada’s oil production. The leading new developments in the last ten years are the Western
oil sands (with an increase of 20%) and the Eastern offshore (with an increase of 10%). To summarize, as
conventional oil production declines, there is a corresponding increase in crude oil produced from oil sands
and offshore developments. What about the future? More precisely, what changes can be expected in the
future in the Canadian oil sector and the evolution of conventional and unconventional sources?
2 G–2013–19 Les Cahiers du GERAD
To address this question, we combine two approaches. First, we use a forecasting approach based on
the correlation of oil production and price to predict the annual well count (i.e., the new wells drilled
each year). Second, we use the logistic function of the Hubbert approach (Hubbert, 1956) to empirically
explain the decay in oil production. The Hubbert curve improves the forecasting approach by taking into
account the depletion characteristic of oil resources according to their installed capacity. In addition, the
forecasting approach complements the Hubbert approach by accounting for the necessary investment. The
overall approach corresponds to a combination of physical and economic variables in an original model that
allows us to analyze the evolution of the Canadian oil sector and its economic implications under different
scenarios.
Traditional forecasting models use past data to determine historical trends that predict future behaviour.
These models are commonly used to create a “business as usual” (BAU) scenario. Brandt (2010) describes
several approaches to forecasting oil production: Hubbert’s logistic model (Hubbert, 1956), the system sim-
ulation model (Sterman and Richardson, 1985), bottom-up models (Bentley and Boyle, 2007), and economic
models (Hotelling, 1931; Nordhaus, 1973; Kaufmann and Cleveland, 2001; Holland, 2008)]. We will describe
the economic models in more detail. Hotelling (1931) asserts that if there is an optimal and efficient extraction
path over time, the value of the non-renewable resource must be rising at the interest rate. In other words,
the (discounted) shadow price of the resource stock, which can be considered as an economic measure of
the resource scarcity, should grow at the interest rate. Nordhaus (1973) focuses on the whole energy market
and looks for the minimum discounted costs to meet demand, assuming competitive suppliers operating in a
competitive market. Alternatively, Holland (2008) presents four Hotelling-style models evaluating different
situations such as demand shift and technological change while analyzing peaks in oil production. Finally,
Kaufmann and Cleveland (2001) apply the Hubbert model to predict oil production using differences between
the predicted and actual values as input for the calibration of an econometric model with economic and policy
variables.
However, these approaches do not deal with the combined problem of pricing, production, and infras-
tructure. In this article, we do so by developing a bottom-up model based on well count (or production
assets), where this count represents the main connector between oil production and oil price. We estimate
the parameters via linear regression. Our model allows us to explain well-count evolution according to oil
production and oil price, under the assumption that there is a linear relationship between the dependent
variable (well count) and the independent variables (production and price). This linear relationship is the
result of microeconomic assumptions that define a perfect competitive market, where one can postulate an
upward relationship between the market price and the quantity produced at a specific time (Besanko and
Braeutigam, 2011). We apply a Hubbert logistic model looking at the most basic level of oil production (i.e.,
the well count). Our approach differs from other multi-cycle Hubbert logistic models, which usually consider
the field level, looking at two or three cycles. Cycles are changes in the parameters due to new production or
discovery conditions. For example, cycles in production relate to conventional production versus enhanced
oil recovery, and cycles in discovery relate to the type of field such as oil sands, shale oil, or deepwater ex-
ploration (Laherr´ere, 2000). In our case, although we are not explicitly dealing with a multi-cycle approach,
we are implicitly considering cycles through investments. Furthermore, we are able to simulate the maturity
of a field by modifying the production level of each year’s well count according to the age of the field.
We apply our approach to the Canadian oil sector. More precisely, we generate numerical results for a
BAU development of the Canadian oil sector. We analyze the results and compare them to predictions from
different sources (S¨oderbergh, Robelius, and Aleklett, 2005; National Energy Board of Canada (NEB), 2007;
CAPP, 2009).
The remainder of this paper is organized as follows. In Section 2, we present our model and describe how
it is calibrated. Section 3 discusses our numerical results, and Section 4 provides concluding remarks.
2 Modelling Approach
Our model aims to guide oil production planning using a forecast that links well count, oil price, and oil
production. More precisely, we first use a forecast based on a linear regression model to predict the well
Les Cahiers du GERAD G–2013–19 3
count. We then consider the decay in oil production using a Hubbert logistic curve. This enables us to
predict the oil production and well count under different oil-price scenarios.
For a company exploiting an oil field, a well is the basic production unit. Called a “producing asset,”
its production decreases over time as the corresponding non-renewable resource is exploited. In a given oil
field, the initial production of an individual well is determined by the oil field’s age. Specifically, in a new oil
field, the production rate per well will initially increase when a new well is drilled. Conversely, in a mature
oil field, the production rate per well will decrease when a new well is drilled.
2.1 Model
We assume that yearly production of oil (Po,n) of a given oil type o(e.g., onshore, offshore, or oil sands) in
a given field or region nis a linear function of the new investments (Io,n) that correspond to the number
of newly drilled wells (the well count); the field average production rate (fo,n ) per well; the time-indexed
performance (production) for individual wells (wo,n ), which is assumed to be identical for the new wells
drilled in a given year (as a vintage); and the average life (lo,n) of the assets (wells), as follows:
Po,n(t) =
t
X
i=tlo,n
(Io,n (i).fo,n (i).wo,n(ti)) (1)
where tis a (discrete) time index corresponding to the year considered. Note that the field average production
rate (fo,n) could be either a constant (average production) or a function of time or the quantity produced.
In the latter case, it could account for learning effects (improving with time or as more oil is produced). It
can also represent the maturity of the oil field.
Let us now detail the investment in new wells (Io,n). Under some (strong) microeconomic assumptions
(Juki´c, Scitovski, and Sabo, 2005) that define a perfect competitive market (such as perfect information, a
large number of buyers and sellers, free entry and exit, homogeneous goods, perfect factor mobility, and zero
transaction costs), one can postulate an upward relationship between oil price (p) and the production (Po,n)
at time t. We assume here that the new investments follow this rationale as described below:
Io,n(t) = ko+k1.p(t) + k2.Po,n (t) (2)
where k0,k1, and k2are calibration parameters.
Equations (1) and (2) are based on supplier behaviour according to specific microeconomic principles as
well as practices in the oil industry. More precisely, oil-producing firms typically use an approach similar to
Eq. (2) as a planning tool to help them decide what new wells to drill. In this case, the price and production
levels (to be used in Eq. (2)) are based on expert estimations. We have statistically tested the correlation
between oil prices and well counts for Canada; see Section 3.
We now discuss the performance of individual wells (wo,n). To predict the future oil production, we use
the Hubert peak approach that uses a logistic function to explain the decline in the production of oil wells
and fields over time (Hubbert, 1956). This function is based on empirical observations made by the American
geophysicist M. King Hubbert as he successfully predicted the evolution of American oil production around
1965–1970. It can be expressed as follows:
wo,n(t) = p0·ep1·t
(p2+p3·ep4·t)2(3)
where p0, . . . , p4are calibration parameters, adjusted to match the total production for a specific oil type
and region.
The next section details how we calibrate our model for Canadian oil production.
4 G–2013–19 Les Cahiers du GERAD
2.2 Calibration
2.2.1 Calibration procedure
We have calibrated our model for the different types of oil production (conventional onshore, offshore, and oil
sands) for two regions (Eastern and Western Canada) for the period 1980–2007. The calibration procedure
has two steps. First, parameters kfrom Eq. (2) and pfrom Eq. (3) are estimated to match the historical well-
count levels using estimations of price and production. However, this calibration does not precisely match
the historical production level. A second iteration is necessary, to produce new estimates for the parameters
kthat will be used only to forecast production levels (and reserve levels, as discussed in Section 3.3).
Step 1 (parameter calibration for well-count estimation):
Parameters k0,k1, and k2from Eq. (2) are estimated using a multiple linear regression. The prices (p) are the
annual average market prices of West Texas Intermediate (WTI) (U.S. Energy Information Administration
(EIA), 2011). Note that until 2007 WTI was routinely used as an oil-price reference for North America.
The production levels (Po,n) are chronological values for the total oil production for the specific type and
region considered (CAPP, 2009). The investment values are chronological values for newly drilled wells
(CAPP, 2009; BP, 2010). The values fo,n are available for the period 1980–2007 for which the calibration is
performed (CAPP, 2009; BP, 2010). The parameters p0,p1,p2,p3, and p4from Eq. (3) are estimated via a
multiple nonlinear regression on Eq. (1).
When we use the above estimates for kand pto compute (following Eq. (1)) the predicted production
levels, we find that the levels do not exactly match the observed historical values. Indeed, as already
explained, oil firms do not base their future investment decisions on prices and production levels (that cannot
be observed) but on an expert estimation of these values. Hence, Eqs. (1) and (2) cannot precisely reproduce
past investment decisions. To overcome this difficulty, we propose a second calibration for the parameters k
to be used only when forecasting oil-production levels.
Step 2 (revised calibration for oil-production estimation):
Let k1
ibe the parameter estimate from step 1, and let I1
o,n and P1
o,n be the values of the well count and
production computed using this estimate. Similarly, let k2
ibe the parameter estimate to be obtained during
step 2, and let I2
o,n and P2
o,n be the values to be computed using the new estimate. Let Po,n be the observed
historical values for the calibration period (1980–2007).
To calibrate P2
o,n, we use a weighted least squares approach (Kiers H.A.L., 1997). The idea is to minimize
the (weighted) error between the observed production (Po,n) and the predicted production (P2
o,n) while
keeping the new predicted well count (I2
o,n) close to the count (I1
o,n) calibrated in step 1.
2.2.2 Calibration results
As an illustration, we present the results of our calibration for the Canadian onshore oil production, for which
long-term historical data are available (CAPP, 2009). Onshore oil fields are mature, so the production rates
are decreasing over time. Figure 1 presents the estimated well count versus the actual count, together with
the 95% confidence interval curves.
Figure 1 reveals that there is a good agreement between the estimated and actual values. We have also
verified that the results are statistically significant by performing a series of tests. The student test yields
values of 8.04 for production and 14.12 for price (for 13 observations the values should be higher than 2.02).
The P-values are around 10-6 for production and 10-8 for price. The adjusted R-square is 0.91, indicating a
strong linear correlation between our dependent variable (well count) and the independent variables (WTI
and oil production). Finally, the Fisher test indicates that the variance of the dependent variable explained
by the model is approximately 988 times higher than the unexplained variance.
Figure 2 shows the contribution of each input variable (production and price) to the well count, resulting
from the linear regression of Step 1 of the calibration.
Les Cahiers du GERAD G–2013–19 5
11
Fig. 1. Comparison of the estimated and actual well count (actual data from CAPP (2009)).
Figure 1 reveals that there is a good agreement between the estimated and actual values. We
have also verified that the results are statistically significant by performing a series of tests. The
student test yields values of 8.04 for production and 14.12 for price (for 13 observations the
values should be higher than 2.02). The P-values are around 10-6 for production and 10-8 for
price. The adjusted R-square is 0.91, indicating a strong linear correlation between our dependent
variable (well count) and the independent variables (WTI and oil production). Finally, the Fisher
test indicates that the variance of the dependent variable explained by the model is approximately
988 times higher than the unexplained variance.
Figure 2 shows the contribution of each input variable (production and price) to the well
count, resulting from the linear regression of Step 1 of the calibration.
0
10,000
20,000
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1995
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2010
2011
Wells count dev
Well count forecast
Upper 95%
Figure 1: Comparison of the estimated and actual well count (actual data from CAPP (2009)).
12
Fig. 2. Contribution of each input to well count.
As expected, Fig. 2 reveals that production is the main driver of well count, but as the price
increases, its contribution becomes more significant. A possible explanation for this is that
higher prices may fuel speculation. This would be similar to the behaviour observed in the stock
market, where traders show a positive feedback for future purchases in response to todays price
increase (De Long, Shleifer, Summers and Waldmann, 1990). This result helps to justify the use
of two calibration steps, the first based on expected market values and the second linked to real
production values.
To estimate the field average production rate per well (), we divide the annual total
production by the well count and perform a linear regression. Figure 3 illustrates this linear fit
for Canadian onshore production.
0%
10%
20%
30%
40%
50%
60%
70%
80%
90%
100%
1980
1982
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1986
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1996
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2004
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2008
Ctte
Contrib price
Contrib prod
Figure 2: Contribution of each input to well count.
As expected, Fig. 2 reveals that production is the main driver of well count, but as the price increases,
its contribution becomes more significant. A possible explanation for this is that higher prices may fuel
speculation. This would be similar to the behaviour observed in the stock market, where traders show a
positive feedback for future purchases in response to today’s price increase (De Long, Shleifer, Summers and
Waldmann, 1990). This result helps to justify the use of two calibration steps, the first based on expected
market values and the second linked to real production values.
To estimate the field average production rate per well (fo,n), we divide the annual total production by the
well count and perform a linear regression. Figure 3 illustrates this linear fit for Canadian onshore production.
As expected, Fig. 3 reveals that the oil production for each new well decreases since the oil field is
depleting. Such a linear fit is appropriate for a mature oil field. In the case of a new field (oil sands) we have
adjusted the linear trend to capture the change from an increasing to a decreasing rate. A more sophisticated
approach would be to use a Hubbert logistic function to capture this change.
6 G–2013–19 Les Cahiers du GERAD
13
Fig. 3. Linear trend for unitary well production in onshore Canada (actual data from CAPP
(2009)).
As expected, Fig. 3 reveals that the oil production for each new well decreases since the oil
field is depleting. Such a linear fit is appropriate for a mature oil field. In the case of a new field
(oil sands) we have adjusted the linear trend to capture the change from an increasing to a
decreasing rate. A more sophisticated approach would be to use a Hubbert logistic function to
capture this change.
Figure 4 presents the final fit for the onshore oil production after the second calibration step.
In this figure, the actual production data come from the CAPP report (2009).
Fig. 4. Results from the curve fitting model (actual data from CAPP (2009)).
y = -0.8624x + 37.142
-
5.00
10.00
15.00
20.00
25.00
30.00
35.00
40.00
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(bbl/d)/well
Onshore prod/well
Linear (Onshore prod/well )
0
10,000,000
20,000,000
30,000,000
40,000,000
50,000,000
60,000,000
70,000,000
80,000,000
90,000,000
100,000,000
1980
1982
1984
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1990
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1996
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2000
2002
2004
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2008
Cubic Metres
Actual onshore production
Forecasted onshore production
Figure 3: Linear trend for unitary well production in onshore Canada (actual data from CAPP (2009)).
13
Fig. 3. Linear trend for unitary well production in onshore Canada (actual data from CAPP
(2009)).
As expected, Fig. 3 reveals that the oil production for each new well decreases since the oil
field is depleting. Such a linear fit is appropriate for a mature oil field. In the case of a new field
(oil sands) we have adjusted the linear trend to capture the change from an increasing to a
decreasing rate. A more sophisticated approach would be to use a Hubbert logistic function to
capture this change.
Figure 4 presents the final fit for the onshore oil production after the second calibration step.
In this figure, the actual production data come from the CAPP report (2009).
Fig. 4. Results from the curve fitting model (actual data from CAPP (2009)).
y = -0.8624x + 37.142
-
5.00
10.00
15.00
20.00
25.00
30.00
35.00
40.00
1985
1986
1987
1988
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1994
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1996
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1998
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2006
2007
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2010
(bbl/d)/well
Onshore prod/well
Linear (Onshore prod/well )
0
10,000,000
20,000,000
30,000,000
40,000,000
50,000,000
60,000,000
70,000,000
80,000,000
90,000,000
100,000,000
1980
1982
1984
1986
1988
1990
1992
1994
1996
1998
2000
2002
2004
2006
2008
Cubic Metres
Actual onshore production
Forecasted onshore production
Figure 4: Results from the curve fitting model (actual data from CAPP (2009)).
Figure 4 presents the final fit for the onshore oil production after the second calibration step. In this
figure, the actual production data come from the CAPP report (2009).
Figure 4 shows a good agreement between the estimated and actual onshore production. Additionally,
various tests show that the results are statistically significant. The student test yields a value of 91.82 (for
29 observations the value should be higher than 2.045). The P-values are around 10-36. The adjusted R-
square is 0.96, indicating a strong linear correlation between the forecast and observed production. Finally,
the Fisher test indicates that the variance of the dependent variable explained by the model is approximately
8431 times higher than the unexplained variance.
Les Cahiers du GERAD G–2013–19 7
3 Numerical Results
In this section, we apply our methodology to forecast the Canadian offshore and oil sands production for
newer oil fields (CAPP, 2009). The production rates initially increase over time and then start to decrease
as the fields become mature. We must also predict the inflection point.
3.1 Offshore oil production
The reports from the Canada–Nova Scotia Offshore Petroleum Board [Canada–Nova Scotia Offshore Petro-
leum Board (CNSOPB), 2010] and the Canada–Newfoundland and Labrador Offshore Petroleum Board
[Canada–Newfoundland and Labrador Offshore Petroleum Board (CNLOPB), 2010] contain detailed infor-
mation about the Eastern Canada offshore projects. This includes the oil production by well and the pro-
duction profiles. It allows us to forecast the overall production and the well count (new wells to be drilled);
our results are reported in Figs. 5 and 6. We have prepared these results by splitting the total production
(as estimated by our model) between the different offshore projects (that are either ongoing or announced by
the industry, (CNSOPB, 2010; CNLNPB, 2010)). It is important to categorize production trends by project
and water-depth because the production costs are directly correlated with these factors. In Fig. 5, the total
production is allocated to three different water-depth categories. The categories correspond to those used by
the industry: 0–300 ft (shallow water), 300–400 ft (deep-water) and 400–1000 ft (ultra-deep water).
15
Fig. 5, the total production is allocated to three different water-depth categories. The categories
correspond to those used by the industry: 0300 ft (shallow water), 300400 ft (deep-water) and
4001000 ft (ultra-deep water).
Fig. 5. Forecast of the offshore oil production in Eastern Canada considering production by
water depth.
Figure 6 reports the well count together with the production split between specific projects
(ongoing and announced). Note that the difference between the total production forecast by our
model and the total production of all the specific projects (Hibernia, White Rose, Terra Nova,
Terra Nova Extension, and Hebron) is reported in the category NewOil.
Fig. 6. Offshore Eastern Canada oil production (area graph) and well count (bar chart).
0
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Oil0-300 WD
Oil300-400 WD
Oil400-1000 WD
0
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Thousand bbl/d
Hibernia
Terra Nova
White Rose
Terra Nova Extension
NewOil
Hebron
Well Count Develop
Figure 5: Forecast of the offshore oil production in Eastern Canada considering production by water depth.
Figure 6 reports the well count together with the production split between specific projects (ongoing
and announced). Note that the difference between the total production forecast by our model and the total
production of all the specific projects (Hibernia, White Rose, Terra Nova, Terra Nova Extension, and Hebron)
is reported in the category NewOil.
Our model indicates that the oil from offshore production will continue to grow, peaking in 2020 at 476
thousand barrels per day (Mbpd). This will represent 12% of the total Canadian oil production. This value
does not represent an important change (the proportion was 13% in 2008), but it is important because it will
account for 53% of the total conventional oil production. The total Canadian conventional oil production
in 2020 will be 900 Mbpd, according to our model. Furthermore, the production at a water depth of 400–
1000 ft appears to be the most promising: the forecast for 2030 indicates a production of 315 Mbpd. As
a comparison, the conventional oil production in 2008 was close to 1.4 MMbpd. The sustained growth of
offshore oil production, from 350 Mbpd in 2008 to 476 Mbpd in 2020, while all other sources of light oil are
decreasing, indicates the importance of Canadian offshore oil production.
8 G–2013–19 Les Cahiers du GERAD
15
Fig. 5, the total production is allocated to three different water-depth categories. The categories
correspond to those used by the industry: 0300 ft (shallow water), 300400 ft (deep-water) and
4001000 ft (ultra-deep water).
Fig. 5. Forecast of the offshore oil production in Eastern Canada considering production by
water depth.
Figure 6 reports the well count together with the production split between specific projects
(ongoing and announced). Note that the difference between the total production forecast by our
model and the total production of all the specific projects (Hibernia, White Rose, Terra Nova,
Terra Nova Extension, and Hebron) is reported in the category NewOil.
Fig. 6. Offshore Eastern Canada oil production (area graph) and well count (bar chart).
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Figure 6: Offshore Eastern Canada oil production (area graph) and well count (bar chart).
The National Energy Board report indicates that in the “Reference Case” the production peaks in 2016
at 438 Mbpd, declining to 65 Mbpd by 2030 (NEB, 2007). In our forecast, the peak production occurs later,
mainly because the recovery of oil prices after the 2009 economic crisis was slower than anticipated (seen by
comparing the NEB expected oil prices [and the actual prices, (EIA, 2011)). This slow recovery is apparent
from the drop in the well count shown in Fig. 6. Another important difference is that we take into account
the contribution from the Jeanne d’Arc Basin (located in Newfoundland, Canada) and 500 million barrels
of reserves in other unexplored regions that could start producing in 2015. Figure 7 provides a graphical
comparison of our forecast and two NEB forecasts.
17
Fig. 7. Comparison of our forecast and NEB’s forecasts.
Figure 7 reveals that our forecast is closer to the NEB Fortified Islands scenario. In
particular, the area below our curve is quite similar to that of this NEB scenario, although our
production profile shows slower development after 2014 and higher development after 2024.
Note that the NEB Fortified Islands scenario is characterized by a focus on security issues.
Specifically, it assumes geopolitical conflicts, no international cooperation, and protectionist
government policies (NEB, 2007).
3.2 Oil sands production
There are two types of oil sands production: mined and in-situ (upgraded and non-upgraded).
In the latter category, the production is similar to that of onshore and offshore because wells are
used to produce oil. In the former category, the oil production uses mining techniques rather than
well construction. The National Energy Board (NEB, 2007) provides information about the
different mining and in-situ projects. This allows us to forecast the oil sands production by taking
into account the different projects currently under development in combination with the detailed
scheduling information. However, the possibility of additional oil from new discoveries is not
-
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NEB Fortified Islands
Figure 7: Comparison of our forecast and NEB’s forecasts.
Figure 7 reveals that our forecast is closer to the NEB Fortified Islands scenario. In particular, the area
below our curve is quite similar to that of this NEB scenario, although our production profile shows slower
development after 2014 and higher development after 2024. Note that the NEB Fortified Islands scenario
is characterized by a focus on security issues. Specifically, it assumes geopolitical conflicts, no international
cooperation, and protectionist government policies (NEB, 2007).
Les Cahiers du GERAD G–2013–19 9
3.2 Oil sands production
There are two types of oil sands production: mined and in-situ (upgraded and non-upgraded). In the latter
category, the production is similar to that of onshore and offshore because wells are used to produce oil. In
the former category, the oil production uses mining techniques rather than well construction. The National
Energy Board (NEB, 2007) provides information about the different mining and in-situ projects. This
allows us to forecast the oil sands production by taking into account the different projects currently under
development in combination with the detailed scheduling information. However, the possibility of additional
oil from new discoveries is not included, mainly because of a lack of detailed information. Because of this lack
of information we must simulate the wells in order to apply our well-count approach to oil sands production.
The result is then split between the different oil sand projects (mining, in-situ, and in-situ non-upgraded).
An artificial well-production unit (pseudo-wells) is associated with the producing assets (trucks, mechanical
shovels) of mining projects. Figure 8 displays the resulting forecast for the oil sands.
18
included, mainly because of a lack of detailed information. Because of this lack of information
we must simulate the wells in order to apply our well-count approach to oil sands production.
The result is then split between the different oil sand projects (mining, in-situ, and in-situ non-
upgraded). An artificial well-production unit (pseudo-wells) is associated with the producing
assets (trucks, mechanical shovels) of mining projects. Figure 8 displays the resulting forecast
for the oil sands.
Fig. 8. Forecast for oil sands production.
Comparing our results to those reported by (Söderbergh, Robelius, and Aleklett, 2005), we
see that a production level of 3.5 MMbpd is achieved later (around 2025 compared to 2015).
This difference reflects a slower development of the oil sands in our forecast. The slower
development can be explained by the technological challenges associated with oil sands projects
and other constraints such as pipeline capacity. Our forecast also reveals that peak oil levels are
reached in 2030 at close to 3.8 MMbpd, distributed as follows: 761 Mbpd from the non-upgraded
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Figure 8: Forecast for oil sands production.
Comparing our results to those reported by (S¨oderbergh, Robelius, and Aleklett, 2005), we see that a
production level of 3.5 MMbpd is achieved later (around 2025 compared to 2015). This difference reflects
a slower development of the oil sands in our forecast. The slower development can be explained by the
technological challenges associated with oil sands projects and other constraints such as pipeline capacity.
Our forecast also reveals that peak oil levels are reached in 2030 at close to 3.8 MMbpd, distributed as
follows: 761 Mbpd from the non-upgraded bitumen category and 3 MMbpd from upgraded bitumen. Figure 9
compares our results to those of (NEB, 2007), where the projection for oil sands comes from the extrapolation
of their “Reference Case” trends and includes the production from the Saskatchewan oil sands, assumed to
start in 2017.
In the NEB forecast, the oil sands production reaches 4.15 MMbpd by 2030, with 2.67 MMbpd from
upgraded bitumen and 1.48 MMbpd from non-upgraded bitumen. According to our forecast, the oil sands
reserves were close to 64 billion barrels in 2005. Our forecast follows rather closely that of NEB.
Combining all our forecasts for Canada, we find that peak oil happens around 2030 and the most important
source is the Western oil sands, as shown in Fig. 10. Specifically, in 2029 the total Canadian oil production
will be close to 4.6 MMbpd, and of this 3.8 MMbpd will come from oil sands. This represents an important
change in the Canadian oil sector. First, the total oil production in 2030 will be close to double that of 2008
10 G–2013–19 Les Cahiers du GERAD
19
bitumen category and 3 MMbpd from upgraded bitumen. Figure 9 compares our results to those
of (NEB, 2007), where the projection for oil sands comes from the extrapolation of their
“Reference Case” trends and includes the production from the Saskatchewan oil sands, assumed
to start in 2017.
Fig. 9. Comparison of our forecast and NEB’s forecast.
In the NEB forecast, the oil sands production reaches 4.15 MMbpd by 2030, with 2.67
MMbpd from upgraded bitumen and 1.48 MMbpd from non-upgraded bitumen. According to
our forecast, the oil sands reserves were close to 64 billion barrels in 2005. Our forecast follows
rather closely that of NEB.
Combining all our forecasts for Canada, we find that peak oil happens around 2030 and the
most important source is the Western oil sands, as shown in Fig. 10. Specifically, in 2029 the
total Canadian oil production will be close to 4.6 MMbpd, and of this 3.8 MMbpd will come
from oil sands. This represents an important change in the Canadian oil sector. First, the total oil
production in 2030 will be close to double that of 2008 (slightly above 2.5 MMbpd). Second and
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Figure 9: Comparison of our forecast and NEB’s forecast.
20
more important, in 2030 the oil sands production will account for 81% of the total Canadian
production. In 2008, only 1.2 MMbpd (47% of the total) came from oil sands. This change
represents an increase of 34% in the oil sands share between 2008 and 2030. As mentioned
earlier, the estimated total Canadian production from our model is comparable to the estimates of
CAPP and NEB.
Fig. 10. Total Canadian oil production for the BAU scenario.
In the next section, we use our approach to estimate the available reserves.
3.3 Reserves
Although our model was not originally developed to estimate the reserves, it can be used for
this purpose. Assuming that we can accurately estimate the time at which the total available oil is
consumed, we simply compute the area below the oil production curve (from the year under
consideration to the year when the total available oil is consumed).
Our method for estimating the reserves, which is quite simple given the forecasting model we
have developed, makes an important contribution by connecting the oil production, reserves, and
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Figure 10: Total Canadian oil production for the BAU scenario.
(slightly above 2.5 MMbpd). Second and more important, in 2030 the oil sands production will account for
81% of the total Canadian production. In 2008, only 1.2 MMbpd (47% of the total) came from oil sands.
This change represents an increase of 34% in the oil sands share between 2008 and 2030. As mentioned
earlier, the estimated total Canadian production from our model is comparable to the estimates of CAPP
and NEB.
In the next section, we use our approach to estimate the available reserves.
3.3 Reserves
Although our model was not originally developed to estimate the reserves, it can be used for this purpose.
Assuming that we can accurately estimate the time at which the total available oil is consumed, we simply
compute the area below the oil production curve (from the year under consideration to the year when the
total available oil is consumed).
Les Cahiers du GERAD G–2013–19 11
Our method for estimating the reserves, which is quite simple given the forecasting model we have devel-
oped, makes an important contribution by connecting the oil production, reserves, and economics variables;
the literature has acknowledged this as a challenge. It is however important to connect reserves and prices.
The economic conditions influence the feasibility of oil production projects, and this in turn affects the oil
production levels. According to Jakobsson et al. (2009), constructing a model to explain the evolution of oil
production using economic variables can be difficult. To overcome this problem, some authors use a simple
extrapolation of past data (Lynch, 2002; Simon, 1996). However, this makes it impossible to grasp the
dynamics involved such as the production-cost decline over time due to technological improvements and the
cost increases due to peaks in demand and uncertainties about reserves. For instance, approaches that deal
well with oil production forecasting do not account for the economic dimension (such as oil prices). On the
other hand, models dealing with the economic dimension neglect the physical dimension (Brandt, 2010). In
our model we address these issues by connecting the oil production to the well count and thus to oil prices.
To estimate the offshore reserves for 2007, we have extended the time horizon and assume that all reserves
will be consumed by 2100. When computing the area below the resulting production curve, we estimate the
offshore reserves to be close to 7 billion barrels. To estimate the oil sands reserves for 2005, we again assume
that all reserves will be consumed by 2100, and we estimate the reserves to be close to 64 billion barrels.
These volumes differ from those in the literature. For instance, (NEB, 2007) estimates the oil sands reserves
to be 173 billion barrels. However, these reserves are not attached to a particular year, as in our case.
For 2009, we estimate the reserves to be 80 billion barrels. In 2007, BP (BP, 2007) estimated 11 billion
barrels but took only active developments into account. The Oil & Gas Journal (2006) estimated around
175 billion barrels as proven reserves at the end of 2006. The NEB (2006) estimated that the Canadian
oil sands contained an ultimately recoverable bitumen resource of 315 billion barrels, and from this the
remaining reserves (established for 2004) were 174 billion barrels (Kj¨arstad and Johnsson, 2009). In 2008,
BP (BP, 2008) estimated that “Canadian proved reserves include an official estimate of 21.0 billion barrels
for oil sands ‘under active development’ ” (EIA, 2009), and it recorded an additional 152.2 billion barrels of
reserves, defined as “‘remaining established reserves’ minus the reserves ‘under active development’ ” (EIA,
2009). Also in 2008, the Oil & Gas Journal (2008) estimated reserves of 5.392 billion barrels for conventional
crude oil and condensate and 172.7 billion barrels for oil sands. Finally, in 2008 World Oil (2008)] estimated
2007 reserves of 4.9 billion barrels for conventional crude and 174 billion barrels for oil sands. Note that
World Oil, (2008) considers these reserves not to be proven and states that their development would require
at least 350 trillion cubic feet of gas and the implementation of new technologies.
These contrasting projections illustrate the difficulties of estimating the Canadian oil sands reserves.
4 Conclusion
We have proposed the use of a forecasting model to define oil production profiles. The novelty of our approach
is that we consider both economic variables (prices) and physical variables (production and infrastructure)
by establishing a link between well count, oil price, and oil production. This approach is combined with a
Hubbert logistic function that takes into account the impact of the age of the producing wells. Our model
can also be used to estimate the reserves, by using economics variables and trends to assess the role of those
reserves and their future implications for oil production.
We have applied our model to forecast a production profile for the Canadian oil sector to 2050, distin-
guishing between conventional and unconventional sources. According to our model, Canadian production
will reach a peak around 2030 and Western oil sands will be the most important source. We want to stress
the importance of this change for the Canadian oil sector: oil sands developments have higher energy con-
sumption, emissions, and technological costs. In addition, the poor social acceptability of oil sands may
create (national and) international market barriers.
The model forecasts peak production of offshore developments in 2020, indicating that this could be
another significant trend in Canadian oil production. The challenges associated with offshore production are
the technological cost and the risk of ecological disasters such as the spill of 26,000 l of drilling mud into
12 G–2013–19 Les Cahiers du GERAD
the Atlantic Ocean in March 2011 (Financial Post, 2012). However, in contrast to that of Western Canada,
Eastern Canada oil production benefits from access to international markets. Moreover, the prices of Hibernia
Blend usually have parity with the Brent benchmark. This is definitively an incentive for new projects, such
as the new joint venture between Chevron, Statoil, and Repsol for the exploration of the Canadian offshore
fields (Platts, McGraw Hill Financial, 2012).
As well as providing useful insights into the possible evolution of the Canadian oil sector, this model can
be integrated into a bottom-up energy model describing the whole energy system, such as TIMES, to provide
the oil supply curves that are typically exogenous to such models (Vaillancourt et al., 2013).
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... Since TIMES-Canada is currently not connected to global markets implicitly, assumptions have been made on future trade: oil exports from Alberta are expected to increase by 2.5 times between 2007 and 2050 in all baseline scenarios. Note that the development of the oil sector database has involved a very comprehensive and detailed documentation of all Canadian offshore (by water-depth) and oil sands (mining and in-situ) projects that are of growing importance in national oil production [33]. The resulting production profile takes into account well counts, (international) oil prices and oil production. ...
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In this paper we consider the parameter estimation (PE) problem for the logistic function-model in case when it is not possible to measure its values. We show that the PE problem for the logistic function can be reduced to the PE problem for its derivative known as the Hubbert function. Our proposed method is based on finite differences and the total least squares method. Given the data (pi, ti, yi), i = 1, …, m, m > 3, we give necessary and sufficient conditions which guarantee the existence of the total least squares estimate of parameters for the Hubbert function, suggest a choice of a good initial approximation and give some numerical examples.
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Estimates of petroleum and natural gas resources vary substantially, both over time and across estimation methods. This paper develops a simulation model of global oil resources to evaluate different resource estimation techniques. Protocols for the Hubbert life cycle and USGS geological analogy methods are developed and applied to synthetic data generated by the model. It is shown that the Hubbert method can generate an accurate estimate as early as twenty years before the peak of global production, but the geological analogy approach overestimates the true resource base over the life cycle of the resource. The results show the applicability of simulation and the synthetic data approach to the problem of evaluating forecasting methods.
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This review paper assesses oil supply modeling techniques and critically evaluates their usefulness in projecting future oil production. It reviews models that project future rates of oil production, but does not address estimation of oil resources. The following types of models are reviewed: the Hubbert method; other curve-fitting methods such as exponential and Gaussian models; simulation models of resource discovery and extraction; and data-rich “bottom-up” models. Economic models are reviewed more briefly. Forty-five mathematical models of oil depletion of the last century are classified along four dimensions of variability: emphasis on physical or economic aspects of oil production; model scale; hypothetical or mechanistic orientation; and complexity. Models based on quite disparate assumptions (e.g., physical simulation vs. economic optimal depletion) have produced approximately bell-shaped production profiles, but data do not support assertions that any one model type is most useful for forecasting future oil production. In fact, evidence suggests that existing models have fared poorly in predicting global oil production. The greatest promise for future developments in oil depletion modeling lies in simulation models that combine both physical and economic aspects of oil production.