ESTIMATING T2-DIFFUSION PROBABILITY DENSITY FUNCTIONS FROM NUCLEAR MAGNETIC RESONANCE DIFFUSION MODULATED AMPLITUDE MEASUREMENTS
First Claim
1. An apparatus, including:
- acquisition logic to acquire data representing a plurality of nuclear magnetic resonance (NMR) echo trains associated with a material; and
processing logic to invert a model of at least one of the plurality of NMR echo trains to provide an estimated distribution of transverse relaxation time constants, to invert models of selected ones of the plurality of NMR echo trains using the estimated distribution of transverse relaxation time constants to provide an estimated diffusion distribution, and to invert models of selected ones of the plurality of NMR echo trains using the estimated distributions of transverse relaxation time constants and diffusion to provide at least one of an apparent and an intrinsic probability density function to identify fluid types in the material.
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Abstract
In some embodiments, apparatus and systems, as well as methods, may operate to acquire data representing a plurality of nuclear magnetic resonance (NMR) echo trains associated with a material, such as a geological formation. Additional operations may include inverting a model of at least one of the plurality of NMR echo trains to provide an estimated distribution of transverse relaxation time constants, inverting models of selected ones of the plurality of NMR echo trains using the estimated distribution of transverse relaxation time constants to provide an estimated diffusion distribution, and inverting a model of selected ones of the plurality of NMR echo trains, using the estimated distributions of transverse relaxation time constants and diffusion, to provide an apparent and an intrinsic probability density function to identify fluid types in the material.
19 Citations
25 Claims
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1. An apparatus, including:
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acquisition logic to acquire data representing a plurality of nuclear magnetic resonance (NMR) echo trains associated with a material; and processing logic to invert a model of at least one of the plurality of NMR echo trains to provide an estimated distribution of transverse relaxation time constants, to invert models of selected ones of the plurality of NMR echo trains using the estimated distribution of transverse relaxation time constants to provide an estimated diffusion distribution, and to invert models of selected ones of the plurality of NMR echo trains using the estimated distributions of transverse relaxation time constants and diffusion to provide at least one of an apparent and an intrinsic probability density function to identify fluid types in the material. - View Dependent Claims (2, 3, 4, 5, 6)
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7. A system, including:
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a downhole tool; acquisition logic included in the downhole tool to acquire data representing a plurality of nuclear magnetic resonance (NMR) echo trains associated with a material; and processing logic to invert a model of at least one of the plurality of NMR echo trains to provide an estimated distribution of transverse relaxation time constants, to invert models of selected ones of the plurality of NMR echo trains using the estimated distribution of transverse relaxation time constants to provide an estimated diffusion distribution, and to invert a model of selected ones of the plurality of NMR echo trains, using the estimated distributions of transverse relaxation time constants and diffusion, to provide at least one of an apparent and an intrinsic probability density function to identify fluid types in the material. - View Dependent Claims (8, 9, 10, 11)
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12. A method, including:
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acquiring data representing a plurality of nuclear magnetic resonance (NMR) echo trains associated with a material; inverting a model of at least one of the plurality of NMR echo trains to provide an estimated distribution of transverse relaxation time constants; inverting models of selected ones of the plurality of NMR echo trains using the estimated distribution of transverse relaxation time constants to provide an estimated diffusion distribution; and inverting a model of selected ones of the plurality of NMR echo trains, using the estimated distributions of transverse relaxation time constants and diffusion, to provide at least one of an apparent and an intrinsic probability density function to identify fluid types in the material. - View Dependent Claims (13, 14, 15, 16, 17, 18, 19, 20, 21)
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22. A computer-readable medium having instructions stored thereon which, when executed by a computer, cause the computer to perform a method comprising:
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acquiring data for a plurality of nuclear magnetic resonance (NMR) echo trains associated with a material; inverting a model of at least one of the plurality of NMR echo trains to provide an estimated distribution of transverse relaxation time constants; inverting models of selected ones of the plurality of NMR echo trains using the estimated distribution of transverse relaxation time constants to provide an estimated diffusion distribution; and inverting a model of selected ones of the plurality of NMR echo trains, using the estimated distributions of transverse relaxation time constants and diffusion, to provide at least one of an apparent and intrinsic probability density function to identify fluid types in the material. - View Dependent Claims (23, 24, 25)
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Specification