THREE-DIMENSIONAL INDUCTION LOGGING PROBLEMS, PART 2: A FINITE-DIFFERENCE SOLUTION
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dc.contributor.author | Newman G.A. | |
dc.contributor.author | Alumbaugh D.L. | |
dc.date.accessioned | 2021-05-28T08:26:45Z | |
dc.date.available | 2021-05-28T08:26:45Z | |
dc.date.issued | 2002 | |
dc.identifier | https://www.elibrary.ru/item.asp?id=14401301 | |
dc.identifier.citation | Geophysics, 2002, 67, 2, 484-491 | |
dc.identifier.issn | 0016-8033 | |
dc.identifier.uri | https://repository.geologyscience.ru/handle/123456789/28747 | |
dc.description.abstract | A 3-D finite-difference solution is implemented for simulating induction log responses in the quasi-static limit that include the wellbore and bedding that exhibits transverse anisotropy. The finite-difference code uses a staggered grid to approximate a vector equation for the electric field. The resulting linear system of equations is solved to a predetermined error level using iterative Krylov subspace methods. To accelerate the solution at low induction numbers (LINs), a new preconditioner is developed. This new preconditioner splits the elec-tric field into curl-free and divergence-free projections, which allows for the construction of an approximate inverse operator. Test examples show up to an order of magnitude increase in speed compared to a simple Jacobi preconditioner. Comparisons with analytical and mode matching solutions demonstrate the accuracy of the algorithm. | |
dc.title | THREE-DIMENSIONAL INDUCTION LOGGING PROBLEMS, PART 2: A FINITE-DIFFERENCE SOLUTION | |
dc.type | Статья |
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