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Ten reservoir models fit the same production history. Which one is true, and does the question make sense?

Its coordinates: 6.8 Philosophy of Science · 6.8.1 Scientific Explanation · 6.8.2 Scientific Realism +1 more

In my work we build computer models of oil reservoirs deep underground, which nobody will ever see. We calibrate them against what we can measure: decades of production rates, pressures in the wells, the water that starts to come up with the oil. We call this history matching.

The awkward fact every reservoir engineer learns early: many very different models match the history equally well. One has a sealing fault in the north; another has no fault but a band of low-permeability rock. Both reproduce thirty years of data. They predict quite different futures.

In practice we keep an ensemble of models and report a range. But I keep wondering what we are doing philosophically.

  • Is this what philosophers call the underdetermination of theory by evidence? I've read that Duhem said a hypothesis is never tested alone, only together with auxiliary assumptions, and that Quine made it much stronger.
  • If the evidence can't decide, is there still a fact about whether the fault is there? Of course there is, I want to say; the rock is what it is. But then what are my ten models: ten guesses at one truth, or ten tools, none of which is "true"?
  • And does it matter, if the ensemble is what we actually use to decide where to drill?
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3 answers

  1. Lars Eriksen

    Fellow

    Yes, it's underdetermination, but the mild kind. Philosophers distinguish the transient version, where the evidence so far can't decide but future evidence could, from the permanent version, where no possible evidence could. Your north fault is the first kind. Drill a well in the right place, or run a pressure test, and one model dies.

    That's why I'd say there's no puzzle about truth here. The rock is one way, and your ensemble is an honest statement of your ignorance about which way. The philosophically hard cases are the ones where two theories agree on every possible observation, and I'm not sure geology has any.

  2. Abdulrahman Al-Bassam

    Contributor

    Lars, the transient and permanent distinction helps a great deal. But "drill a well in the right place" costs tens of millions, so for us the transient kind is practically permanent for years. I suppose that is the engineer's version of underdetermination: not what evidence could decide, but what evidence we can afford.

  3. Wanjiru Njenga

    Contributor

    That last line is exactly the Bayesian point. Your ensemble is a probability distribution over the rock, and the question of which model is "true" is replaced by how much each deserves your credence, given the cost of finding out. In credit scoring we live permanently in Abdulrahman's position: we never observe the borrower we rejected, so we can never test whether we were right to reject her. Our underdetermination is built into the decision itself.