Analytic Tools for Quantitative Interpretation. Mrinal K.Sen

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Analytic Tools for Quantitative Interpretation Mrinal K.Sen

Tools Modeling of fractures static, dynamic, numerical Modeling seismic wave propagation in anisotropic media Travel time an amplitude based methods for estimating anisotropy parameters Data integration using geostatistical tools Seismic inversion

Geochemistry The Barnett Shale has been such a productive reservoir due to high proportion of total organic carbon (TOC) despite having likely leaked much of its gas to surrounding formations/reservoirs over time. The TOC of the Barnett averages ~4.5% (immature outcroppings indicate it was as high as 11-13%). This is important because there is a linear relationship between TOC values and gas content. A high TOC value suggests a large potential to generate hydrocarbons.

Natural Fractures Gas production from the Barnett Shale relies on hydraulic fracture stimulation. Natural opening-mode fractures reactivate during stimulation and enhance efficiency by widening the treatment zone. Knowledge of both the present-day maximum horizontal stress, which controls the direction of hydraulic fracture propagation, and the geometry of the natural fracture system, necessary for effective hydraulic fracture treatment design. Natural fractures in the Barnett Shale and their importance for hydraulic fracture treatments Julia F. W. Gale, Robert M. Reed, and Jon Holder

Fractures Natural fractures in the Barnett Shale and their importance for hydraulic fracture treatments Julia F. W. Gale, Robert M. Reed, and Jon Holder

Fractures Natural fractures in the Barnett Shale and their importance for hydraulic fracture treatments Julia F. W. Gale, Robert M. Reed, and Jon Holder

Reservoir characterization issues Natural fractures associated with thrust faults Spatially variable TOC and thermal maturation levels

Tools Modeling of fractures static, dynamic, numerical Modeling seismic wave propagation in anisotropic media Travel time based methods for estimating anisotropy parameters Data integration using geostatistical tools Seismic inversion

Waveform Modeling of fractured reservoirs Failure of AVOA? Overburden Effect Sen, Lane and Foster 2007

Working Hypothesis 1. Assume an HTI medium so that the gradient, B, is described by B = B iso + B ani cos(θ) for a fixed angle of incidence. At θ = 0 B = B iso + B ani 90 180 270 θ At θ = 90 B = B iso Where θ represents azimuth from fractures.

Objectives Can we explain the near-isotropic AVOA from the Cadotte and anisotropic AVOA from the Falher? Can we explain the asymmetric AVOA observed over the Falher?

Approach Generate full wave synthetic seismograms for different what if scenarios. Short course on AVO : AVOA in fractured media

Fractured Cadotte (10m) Isotropic Falher

Summary Dry intersecting vertical fractures give rise to strong anisotropic effects This results in a breakdown of the symmetry of AVOA typical of single HTI model This is the likely cause of the unusual AVOA observation

Fracture Mapping from seismic P- wave arrival time Samik Sil, Sanjay Srinivasan & Mrinal Sen

Travel time based method A fractured medium shows azimuthal velocity variation. Even along a given azimuth, travel time cannot be predicted by a single isotropic velocity. One can estimate anisotropy parameters (or the fracture parameters) from the measurement of velocity along different azimuths.

Travel time based method (New Method) Our approach is based on analyzing the data in plane-wave or tau-p domain. The tau-p domain allows for estimating individual layer parameters rather than an average over depth. It is based on a layer-stripping approach and thus, corrects for effects due to shallow layers.

New azimuthal tau-p equation for HTI medium So we have developed the following 2 parameter equation for HTI media (vertical fractures): 2 p α κ τ( p, φ) τ (1 α ) [1 ] nl 4 i4 i i 2 i2 1/2 el 1/2 r = 0 p el 2 i2 i= 1 1 p αel (Sil and Sen 2008; 2009a; 2009b)

Velocity uncertainty from prestack Percentage velocity uncertainty (dv/v) is calculated using the described method.

Estimation of δ h Value of δ is available at sparse locations. An exhaustive map of δ is required to prepare a fracture orientation map from the velocity uncertainty. Exhaustive δ value map can only be prepared using geostatistical estimation. Ordinary Kriging is performed to estimate δ for the study area.

Estimated δ map Using OK δ value map is prepared from the well log data. Value of δ is ranging from 0 to -0.1 (in the map absolute values are plotted). Using this map and velocity uncertainty map fracture map can be prepared.

Azimuth from velocity uncertainty Fracture map of the study area with major faults obtained from velocity uncertainty and estimated δ value maps.

Rose plot Rose plot indicates fractures incorporating the effect of anisotropy are oriented mostly around 30-60 degree from the inline. There is a group of fractures presents in 0 degree with the inline direction. That could be the result of dv=0.

Seismic Inversion for Acoustic Impedance, Poisson s ratio, and density

Estimated P-Impedance

Estimated S-Impedance

Pre-Stack Full waveform Inversion Estimated Density

Pre-Stack Estimated Density

Pre-Stack Estimated Porosity

Acoustic Impedance and Poisson s ratio map derived from seismic inversion (Roy and Sen) These methods will be extended to fractured media Integrate of seismic derived sweet spots with well data