Wednesday, July 25, 2012

Further modeling for world crude plus condensate




Based on suggestions from WebHubbleTelescope that a World URR (ultimate recoverable reserves) of 2800 Gb (billion barrels) for C+C(crude oil plus condensate) is too high (but maybe appropriate for C+C+NGL), I created a different model. The first model was done in early May 2012 and the second a few weeks later.

The second model used a URR of 2560 Gb for C+C based on a Hubbert Linearization (HL) of US EIA(Energy Information Administration) World Data for C+C from 1993 to 2011 (annual data). Many people have commented that the HL method is unreliable and I agree, but I am using it as a ballpark estimate and I recognize that it has tended to underestimate the World C+C URR in the past.
To try to nail down some of this uncertainty over the URR for C+C, I did several HL regressions on the EIA data from 1993 to different end years, to see how the estimate has changed since 2005:

<><><><><>
URR (Gb) lower 95 % upper 95% R squared
1993-2011 2580 2292 2924 0.97
1993-2010 2594 2272 2988 0.97
1993-2009 2601 2239 3057 0.96
1993-2008 2669 2270 3184 0.95
1993-2007 2689 2230 3304 0.94
1993-2006 2725 2193 3479 0.93
1993-2005 2689 2096 3578 0.92
1993-2002 2452 1783 3583 0.91
avg 05-11 2650 2228 3216


From 2005 to 2008 the HL method points to a URR of about 2700 Gb, the URR drops to about 2600 from 2009 to 2011. This may simply be an artifact of the slower world economic growth over the period from 2009 to 2011. Also note that the 95% confidence interval becomes narrower as more data is included (not unexpected), these intervals assume a normal distribution which may not be valid, so the confidence interval is in fact unknown.

The second model is below:





Compared to the first model the low case has lower extraction rates after 2060 (they are similar from 1860 to 2060), the high case has extraction rates similar to the medium case of the earlier model, and the medium case is between the low and medium cases of the first model. The high case of the first model was thrown out due to lack of realism where extraction rates similar to the highs of 1973 are achieved over a 30 year period which is highly unlikely.

Two different plateau scenarios are presented. The two are identical up to 2023, after that year the first follows the medium scenario and the second attempts to extend the plateau as far as possible. The model uses the same fallow, build, and maturation (6, 8, and, 10 years) characteristics of the first model.



The low case peaks in 2011, medium in 2018, and high in 2019 at 74, 76, and 79 mb/d respectively, and the plateaus end at 2025 and 2028 for the 2 plateau scenarios.



The two models can be compared on the same chart to give a low and high peak and plateau scenario. Two peak models “low 2560” (the low scenario from the chart above in today’s post) and “med 2795” (the medium scenario from my July 20 post) are presented and two plateau models (I used the plateau2 model from the chart above for the “plateau 2560” case (see chart below).





A future where crude oil peaks over a short period (less than 10 years) is likely to fall somewhere between the low 2560 curve and the higher med 2795 curve. A future where the current 7 year plateau (the so-called "undulating plateau" scenario) continues for 19 to 24 more years would fall between the two plateau scenarios illustrated above.





    

The chart above attempts to present most of the scenarios presented so far (only one plateau scenario has been omitted) on a single chart. It is interesting that there is only a minor change in output up to 2022 for the peak scenarios when the URR increases by 235 Gb. This is not surprising because the increased URR is due to larger future discoveries in the 2795 Gb URR model vs the 2560 Gb URR model.

Further modeling will consider C+C+NGL.

The Excel spreadsheet "world2560plat.xls" for this model can be found at:

https://sites.google.com/site/dc78image/files-1

DC

Friday, July 20, 2012

An early scenario for world crude oil




Above is a model for world output using Webhubbletelescope’s oil shock model and dispersive discovery


Actual discoveries from 1900 to 2009 were used for the discovery curve with a dispersive discovery model used to fill in discoveries before 1900 and after 2009 where the actual data is unknown (this is essentially a statistical guess using a maximum entropy estimator.)


URR for the scenarios is about 2800 GB for crude + condensate, a Hubbert Curve is also presented based on a Hubbert linearization from 1993 to 2011 using EIA annual C+C data this model has a URR of 2560 Gb.


For future years beyond 2011 four scenarios were created low, medium, high and plateau. All of these have the same URR of 2790 Gb. The difference lies in different rates of extraction from mature reserves, shown  below:



The low scenario matches the hubbert curve rather closely from 2011 to 2035.  The most likely scenarios are the plateau, medium, and low scenarios. 


The high scenario attempts to ramp extraction rates to 1973 levels over a 30 year time frame, this seems quite unrealistic when considering that Saudi Arabia and other middle east OPEC members were aggressively ramping up production from 1960 to 1973 at the some of largest oil fields discovered to date. 


I doubt that such world wide extraction rates will be seen in the future, but included it to illustrate that even if it were accomplished the peak would only move by a few years (to 2021 from 2019 in the medium scenario).  Even the medium scenario is somewhat unrealistic as it ramps to 1990 extraction rates over just a 5 year period, the reality is likely to fall between the plateau and medium scenarios.


I chose 2800 Gb as a rather optimistic URR for crude plus condensate.


WebHubbleTelescope offered helpful advice, suggesting that a URR of 2800 Gb is more appropriate for c+c+ngl rather than just crude plus condensate.  His comment led to further modelling which I will discuss later.
DC