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    Spectral Decomposition, SpectralBroadening and High-Resolution

    Inversion

    John P. Castagna

    Oleg PortniaguineMike BurnettShengjie Sun

    Fusion Petroleum Technologies Inc.

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    Spectral Movie

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    Gas Discovery

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    ExSpect

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    DFT 50 msec

    DFT 100 msec

    CWT Morlet

    ExSpect

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    ExSpectSynthetic

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    Bright Spot Validation

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    Bright Spot Validation

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    ExSpect

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    ExSpect

    Downdip/Updip Spectral Ratios

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    Interference NotchCWT (and DFT) see composite response

    ExSpect

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    Progressive loss of high frequenciesonly apparent with ExSpect

    Attenua

    tion?ExSpect

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    Fahmy et al., 2005

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    Fahmy et al., 2005

    After ExSpect

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    Well 1 Well 2

    reservoir

    reservoir

    25 Hz

    35 Hz

    Macuspana Basin: Bitzal Field

    Mendez et al, 2004)

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    10hz 60hz

    Thicker

    Reservoir

    Thinner

    Reservoir

    30hz

    Dis-

    continuitieshighlighted

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    (Tirado, 2004)

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    Lessons from Widess

    For thin beds- seismic character, peak/trough time,

    and frequency dont change with thickness

    - amplitude varies almost linearly with

    thickness and goes to zero at zero thickness

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    Lessons from Widess

    For thin beds- seismic character, peak/trough time,

    and frequency dont change with thickness

    - amplitude varies almost linearly with

    thickness and goes to zero at zero thickness

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    Reality

    The Widess model is not applicable to realreflections

    Theoretical amplitude tuning curves are

    usually wrong Theoretical limits of resolution are far better

    than the Widess model suggests

    This knowledge can be used to drive high-resolution inversion of seismic data

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    Even and Odd Reflectivity

    = +

    Mixed Odd Even

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    Odd Total Even

    PeakF

    requency

    Time Thickness

    Peak Frequency Versus Time Thickness

    wavelength

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    Implications

    Seismic amplitude and frequency varycontinuously with thickness far below seismicresolution

    Thicknesses can be inferred far below the seismicsample rate

    Frequencies beyond the bandwidth of the seismicdata can be recovered

    This is the basis for ThinMAN broadbandseismic reflectivity inversion

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    Porous Limestone

    Tight Limestone

    Shaley Limestone

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    Red = Well Reflecitivty

    Red = Well Reflectivity

    Blue = ThinMAN

    Excellent comparisons to well reflectivity observed

    Can always trade-off accuracy versus resolution

    Greatest limiting factor is S/N

    Comparison to WellReflectivity

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    ThinMAN SectionOriginal 3D Seismic Section

    Before and After Comparison

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    ThinMAN SectionOriginal 3D Seismic Section

    Before and After Comparison

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    ThinMAN SectionOriginal 3D Seismic Section

    Before and After Comparison

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    ThinMAN SectionOriginal 3D Seismic Section

    Before and After Comparison

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    ThinMAN SectionOriginal 3D Seismic Section

    Before and After Comparison

    Thi MAN S ti

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    ThinMAN Section

    Original 3D Seismic Section

    ThinMANBroadband Sparse

    Reflectivity Inversion

    No well controlNo a priorimodelNo lateral mixing

    No picked horizons usedNo assumed reflectivityspectrum

    Boosts high frequenciesrobustly without boostingnoise.

    Adds high frequencies

    beyond the bandwidth ofthe data.

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    Cl f fl d i

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    Close up of a flattened section

    Note the small high and channel not seen in input data

    Input Data -90 ThinMAN Data -90

    Thi MAN A li i

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    ThinMAN Applications

    Precise mapping of tops and bases of thin

    layers Layer thickness determination

    Crisper imaging Stratigraphic Visualization

    DHI analysis of thin reservoirs