Natural Gas: Building a Simple Model
Figure 1 shows a simple model to introduce the combination
of stocks and flows to study the lifecycle of discovery and production.
The model has two stocks and two flows. The stocks are measured in trillion
cubic feet (TCF); the flows are measured in TCF/yr. Proven reserves refers
to previously discovered gas that is available for production. Unproven
reserves is a larger, more speculative quantity. It stands for total resources
that might be discovered in the future.
The gas demand is a user specified variable which will grow over time. Near
the start of the 20th century, gas demand was around 1 TCF/yr. Demand is
satisfied by gas production which drains the stock of proven reserves. The
reserve production ratio is used to measure the adequacy of proven reserves.
If there were 20 TCF of reserves at the start of the century, for example,
the ratio would have been 20 years. In other words, demand could be satisfied
for 20 years even if there were no further discoveries.

Figure 1. Introductory model of gas reserves.
To explain the discovery of gas, we need to know the industry
rational for investing in exploration and the likelihood that the investments
will lead to new discoveries. Naill assumed that the industry strives to
keep the proven reserves at an adequate level, as measured by the reserve
production ratio. He selected 20 years as the target value. Figure 2 expands
the introductory model to simulate the discovery of gas based on this target.
Let's initialize the model with 20 TCF of proven reserves, 1,000 TCF of
unproven reserves and a gas demand of 1 TCF/yr. The initial value of the
reserve production ratio is 20 years, and the target ratio is set at 20
years.

Figure 2. Simple model to experiment with a "thousand year supply"
of natural gas.
The model assumes that the discovery of gas is identical to
the discovery required to keep the proven reserves sufficiently large to
provide "20 years of gas." If gas demand were to remain constant
over time, the discovery of gas need only be 1 TCF/yr to replace gas production.
With 1,000 TCF of unproven reserves, it appears that we are creating what
might be called the
thousand year model.
That is, if demand were to remain constant, natural gas
supplies would last for a thousand years!