A method of fast, sequential experimental design for linearized geophysical inverse problems

Astronomy and Astrophysics – Astronomy

Scientific paper

Rate now

  [ 0.00 ] – not rated yet Voters 0   Comments 0

Details

7

Image Processing, Numerical Solutions, Inverse Theory, Downhole Methods, Electromagnetic Theory

Scientific paper

An algorithm for linear(ized) experimental design is developed for a determinant-based design objective function. This objective function is common in design theory and is used to design experiments that minimize the model entropy, a measure of posterior model uncertainty. Of primary significance in design problems is computational expediency. Several earlier papers have focused attention on posing design objective functions and opted to use global search methods for finding the critical points of these functions, but these algorithms are too slow to be practical. The proposed technique is distinguished primarily for its computational efficiency, which derives partly from a greedy optimization approach, termed sequential design. Computational efficiency is further enhanced through formulae for updating determinants and matrix inverses without need for direct calculation. The design approach is orders of magnitude faster than a genetic algorithm applied to the same design problem. However, greedy optimization often trades global optimality for increased computational speed; the ramifications of this tradeoff are discussed. The design methodology is demonstrated on a simple, single-borehole DC electrical resistivity problem. Designed surveys are compared with random and standard surveys, both with and without prior information. All surveys were compared with respect to a `relative quality' measure, the post-inversion model per cent rms error. The issue of design for inherently ill-posed inverse problems is considered and an approach for circumventing such problems is proposed. The design algorithm is also applied in an adaptive manner, with excellent results suggesting that smart, compact experiments can be designed in real time.

No associations

LandOfFree

Say what you really think

Search LandOfFree.com for scientists and scientific papers. Rate them and share your experience with other people.

Rating

A method of fast, sequential experimental design for linearized geophysical inverse problems does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with A method of fast, sequential experimental design for linearized geophysical inverse problems, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and A method of fast, sequential experimental design for linearized geophysical inverse problems will most certainly appreciate the feedback.

Rate now

     

Profile ID: LFWR-SCP-O-1784702

  Search
All data on this website is collected from public sources. Our data reflects the most accurate information available at the time of publication.