Rock Physics of Shale - Stanford University
Rock Physics of Shale - Stanford University
Rock Physics of Shale - Stanford University
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<strong>Rock</strong> <strong>Physics</strong> <strong>of</strong> <strong>Shale</strong><br />
Gary Mavko – <strong>Stanford</strong> <strong>Rock</strong> <strong>Physics</strong> Laboratory<br />
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First Question: What is <strong>Shale</strong>?<br />
<strong>Shale</strong> -- a rock composed <strong>of</strong> mud-sized particles, such as silt and<br />
clay (Boggs, 2001). This most general classification is based on<br />
particle size, not composition.<br />
Variations in usage:<br />
• <strong>Shale</strong> is sometimes used to refer only to fissile rocks made <strong>of</strong><br />
mud-sized particles, while<br />
• Mudstone is sometimes used to refer to non-fissile rocks made<br />
<strong>of</strong> mud-sized particles, and<br />
• Siltstone is sometimes used for rock with mud-sized particles,<br />
but low clay fractions.<br />
Gary Mavko – <strong>Stanford</strong> <strong>Rock</strong> <strong>Physics</strong> Laboratory<br />
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What is <strong>Shale</strong>?<br />
Wentworth Scale <strong>of</strong> grain size<br />
φ = −log 2 d<br />
€<br />
Mud<br />
( d < 30 µm)<br />
€<br />
Grain size<br />
(mm)<br />
φ<br />
Gary Mavko – <strong>Stanford</strong> <strong>Rock</strong> <strong>Physics</strong> Laboratory<br />
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<strong>Shale</strong>s vary tremendously in composition!<br />
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Gary Mavko – <strong>Stanford</strong> <strong>Rock</strong> <strong>Physics</strong> Laboratory
Organic-Rich <strong>Shale</strong><br />
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Gary Mavko – <strong>Stanford</strong> <strong>Rock</strong> <strong>Physics</strong> Laboratory
Organic-Rich <strong>Shale</strong><br />
Organic-rich shales are composed <strong>of</strong> mixtures <strong>of</strong><br />
inorganic and organic materials. The inorganic<br />
fraction can include clay, silt, carbonate, pyrite,<br />
etc. The organic fraction (kerogen) appears as<br />
nano-size particles, called macerals, and<br />
hydrocarbons.<br />
In some cases organics appear as inclusions in<br />
the inorganic background, and other times, the<br />
inverse.<br />
Vanorio et al., June 2008, The Leading Edge.<br />
Confocal Laser Scanning Microscope image <strong>of</strong><br />
an organic-rich shale. Monterey Formation.<br />
Gary Mavko – <strong>Stanford</strong> <strong>Rock</strong> <strong>Physics</strong> Laboratory<br />
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What the heck is shale porosity/permeability?<br />
• Network <strong>of</strong> permeable kerogen?<br />
• Inter-granular pores?<br />
• Micro/nano fractures?<br />
• Does hydrocarbon move via Darcy flow or molecular diffusion?<br />
Vanorio et al., June 2008, The Leading Edge.<br />
Wang, et a., SPE 124253<br />
Gary Mavko – <strong>Stanford</strong> <strong>Rock</strong> <strong>Physics</strong> Laboratory<br />
7
Porosity in Organic-rich <strong>Shale</strong><br />
Nano-scale image <strong>of</strong> pores within Kerogen.<br />
Wang, et a., SPE 124253<br />
Gary Mavko – <strong>Stanford</strong> <strong>Rock</strong> <strong>Physics</strong> Laboratory<br />
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Porosity in Organic-rich <strong>Shale</strong><br />
Fossil fragment with micropores<br />
Nanopores around in-organic grains.<br />
Intergranular micro and nano-pores<br />
Nanopores in organic material.<br />
Loucks, et al.,, Journal <strong>of</strong> Sedimentary Research, 2009, v. 79, 848–861<br />
Gary Mavko – <strong>Stanford</strong> <strong>Rock</strong> <strong>Physics</strong> Laboratory<br />
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Porosity in Organic-rich <strong>Shale</strong><br />
Nanopores in organic material.<br />
Loucks, et al.,, Journal <strong>of</strong> Sedimentary Research, 2009, v. 79, 848–861<br />
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Gary Mavko – <strong>Stanford</strong> <strong>Rock</strong> <strong>Physics</strong> Laboratory
Porosity in Organic-rich <strong>Shale</strong><br />
.<br />
Loucks, et al., Journal <strong>of</strong> Sedimentary Research, 2009, v. 79, 848–861<br />
Nanopores in organic matter.<br />
Loucks et al. observe that organic<br />
porosity increases with maturity.<br />
Diameter <strong>of</strong> CH 4 ~ 0.4 nm<br />
Methane<br />
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Gary Mavko – <strong>Stanford</strong> <strong>Rock</strong> <strong>Physics</strong> Laboratory
Organic-rich <strong>Shale</strong>s, Imaging and Nanoindentation<br />
Ahmadov, et al., The Leading Edge, January 2009.<br />
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Gary Mavko – <strong>Stanford</strong> <strong>Rock</strong> <strong>Physics</strong> Laboratory
Kerogen Moduli Inferred from Nanoindentation<br />
€<br />
Y<br />
µ<br />
Plausible<br />
Poisson’s Ratio<br />
K<br />
M<br />
Ahmadov, et al., The Leading Edge, January 2009.<br />
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Gary Mavko – <strong>Stanford</strong> <strong>Rock</strong> <strong>Physics</strong> Laboratory
Change <strong>of</strong> texture with maturity<br />
Mature Bakken Postmature Bakken<br />
Ahmadov, 2011, Ph.D. Dissertation, <strong>Stanford</strong> Univ.<br />
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Gary Mavko – <strong>Stanford</strong> <strong>Rock</strong> <strong>Physics</strong> Laboratory
Example Compositions<br />
Mineral Barnett (%) Marcellus (%)<br />
Quartz 35-50 10-60<br />
Clays (mostly illite) 10-50 10-35<br />
Calcite, dolomite,<br />
siderite<br />
0-30 3-50<br />
Feldspars 7 0-4<br />
Pyrite 5 5-13<br />
Phosphate, gypsum trace trace<br />
Mica 0 5-30<br />
A Comparative Study <strong>of</strong> the Mississippian Barnett <strong>Shale</strong>, Fort Worth Basin, and Devonian Marcellus <strong>Shale</strong>, Appalachian<br />
Basin, Bruner and Samosna, DOE/NETL-2011/1478.<br />
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Gary Mavko – <strong>Stanford</strong> <strong>Rock</strong> <strong>Physics</strong> Laboratory
Example Compositions<br />
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Gary Mavko – <strong>Stanford</strong> <strong>Rock</strong> <strong>Physics</strong> Laboratory
What parameters are we interested in?<br />
Quantity: Two rocks with the same TOC …<br />
Dead<br />
Carbon<br />
TOC<br />
Live Carbon<br />
Live<br />
Carbon<br />
H/C = 1.15 H/C= 0.75<br />
Dead<br />
Carbon<br />
… but different Hydrocarbon-Generative Potential<br />
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Gary Mavko – <strong>Stanford</strong> <strong>Rock</strong> <strong>Physics</strong> Laboratory
What parameters are we interested in?<br />
maturation<br />
gas window<br />
Quality; Maturity<br />
very oil prone<br />
oil prone<br />
inert<br />
gas prone<br />
oil window ca. 60–160 o C<br />
gas window ~ 150-200 o C<br />
Alginite: Fresh-water algae<br />
Exinite: Pollen, spores<br />
Cutinite: Land-plant cuticle<br />
Resinite: Land-plant resins<br />
Liptinite: land-plant lipids,<br />
marine algae<br />
Vitrinite: Land woody and<br />
cellulose materials<br />
Van Krevelen<br />
Diagram<br />
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Gary Mavko – <strong>Stanford</strong> <strong>Rock</strong> <strong>Physics</strong> Laboratory
What parameters are we interested in?<br />
maturation<br />
Quality; Maturity<br />
very oil prone<br />
oil prone<br />
inert<br />
gas prone<br />
Type II marine shales give<br />
most production<br />
High maturity gives better<br />
gas delivery<br />
It has been suggested that<br />
shale in the gas window has<br />
more gas and improved gas<br />
mobility – modified pore<br />
structure? Reduced kerogen<br />
volume? Microcracks?<br />
Bob Cluff (SIPES 1832) SIPES 2009<br />
Annual Meeting, Hilton Head, S.C.<br />
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Gary Mavko – <strong>Stanford</strong> <strong>Rock</strong> <strong>Physics</strong> Laboratory
Vitrinite is a type <strong>of</strong> maceral with a shiny appearance resembling glass (vitreous). It is formed<br />
diagenetically by the thermal alteration <strong>of</strong> lignin and cellulose in plant cell walls. Chemically,<br />
it is composed <strong>of</strong> polymers, cellulose and lignin. It is therefore common in sedimentary rocks<br />
with a terriginous origin, containing plant matter.<br />
Vitrinite Reflectance, R o : percentage <strong>of</strong> light reflected from polished vitrinite samples,<br />
usually at wavelengths <strong>of</strong> 546 nm. R o is sensitive to temperature ranges that are responsible<br />
for hydrocarbon maturation; R o increases with thermal maturity <strong>of</strong> a source rock.<br />
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Gary Mavko – <strong>Stanford</strong> <strong>Rock</strong> <strong>Physics</strong> Laboratory
€<br />
Passey’s 1 Method <strong>of</strong> TOC Estimation<br />
DlogR = log 10(Rd/Rd baseline)+0.02*(dtc − dtc baseline)<br />
(2.297−0.1688LOM )<br />
TOC = DlogR*10<br />
Rd = deep resisitivity (ohm-m)<br />
Rd baseline = deep resistivity in non-source shale<br />
dtc = sonic (usec/ft)<br />
dtcbaseline = sonic in non-source rock<br />
LOM = level <strong>of</strong> maturity<br />
TOC = total organic carbon (weight fraction)<br />
Sondergeld 2 et al find that Passey sometimes underpredicts TOC in<br />
mature and overmature gas sand<br />
1. Q. R. Passey, S. Creaney, J. B. Kulla, F. J. Morettand J. D. Stroud, AAPG Bulletin, V. 74, P 1777-1794, 1990 21<br />
2. Sondergeld et al., SPE Unconventional Gas Conference, 23-25 Feb, Pittsburg Pennsylvania<br />
Gary Mavko – <strong>Stanford</strong> <strong>Rock</strong> <strong>Physics</strong> Laboratory
Scale sonic and resistivity where 50 usec/ft<br />
equal 1 decade resistivity (ohm-m)<br />
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Gary Mavko – <strong>Stanford</strong> <strong>Rock</strong> <strong>Physics</strong> Laboratory
The method employs the overlaying <strong>of</strong> a properly scaled porosity log<br />
(generally the sonic transit time curve) on a resistivity curve (preferably a<br />
deep-reading tool). In water-saturated, organic-lean rocks, the two curves<br />
parallel each other and can be overlain, since both curves respond to<br />
variations in formation porosity; however, in either hydrocarbon reservoir<br />
rocks or organic-rich non-reservoir rocks, a separation between the curves<br />
occurs. The separation in organic-rich intervals results from two effects: the<br />
porosity curve responds to the presence <strong>of</strong> low-density, low-velocity kerogen,<br />
and the resistivity curve responds to the formation fluid. In an immature<br />
organic-rich rock, where no hydrocarbons have been generated, the<br />
observed curve separation is due solely to the porosity curve response. In<br />
mature source rocks, in addition to the porosity curve response, the resistivity<br />
increases because <strong>of</strong> the presence <strong>of</strong> generated hydrocarbons. The<br />
magnitude <strong>of</strong> the curve separation in no-reservoirs is calibrated to total<br />
organic carbon and maturity, and allows for depth pr<strong>of</strong>iling <strong>of</strong> organic<br />
richness in the absence <strong>of</strong> sample data. This method allows organic richness<br />
to be accurately assess in a wide variety <strong>of</strong> lithologies and maturities using<br />
common well logs.”<br />
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Gary Mavko – <strong>Stanford</strong> <strong>Rock</strong> <strong>Physics</strong> Laboratory
LOM (maturity) Estimation from R0<br />
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Gary Mavko – <strong>Stanford</strong> <strong>Rock</strong> <strong>Physics</strong> Laboratory
What’s the <strong>Shale</strong>-Gas Geoscience Question?<br />
Porosity<br />
Matrix Perm<br />
Overall goal: high-flow gas wells in shale!<br />
Quartz,Calcite,Clay,TOC<br />
Content<br />
What determines a good (high-flow) well?<br />
Fractures<br />
Brittleness<br />
Tectonics<br />
Gas Content<br />
Maturity<br />
TOC<br />
Deposition<br />
Kerogen composition,<br />
Chemical & thermal history<br />
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Gary Mavko – <strong>Stanford</strong> <strong>Rock</strong> <strong>Physics</strong> Laboratory
What’s the <strong>Shale</strong>-Gas Question?<br />
Basin<br />
Model<br />
What can we hope to detect from measurements?<br />
Porosity<br />
Matrix Perm<br />
Gas Content<br />
TOC<br />
Maturity<br />
Fractures<br />
Brittleness<br />
Azimuthal Anisotropy<br />
Low density<br />
High resistivity<br />
Low impedance<br />
High<br />
Impedance<br />
High Ur, Low K, Th<br />
Uplift<br />
Increased<br />
VTI anisotropy<br />
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Gary Mavko – <strong>Stanford</strong> <strong>Rock</strong> <strong>Physics</strong> Laboratory
<strong>Shale</strong> Anisotropy<br />
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Gary Mavko – <strong>Stanford</strong> <strong>Rock</strong> <strong>Physics</strong> Laboratory
What is Anisotropy?<br />
A rock is anisotropic when it has properties that depend on<br />
direction.<br />
• P- and S-wave velocity<br />
• P- and S-wave attenuation<br />
• Permeability<br />
• Electrical resistivity<br />
• Thermal conductivity<br />
Seismic waves see anisotropy, but in a more<br />
complex way than permeability or<br />
resistivity. Seismic propagation depends on<br />
the direction <strong>of</strong> propagation and the<br />
direction <strong>of</strong> polarization relative to the<br />
symmetry axes <strong>of</strong> the rock anisotropy.<br />
We define anisotropy at the scale <strong>of</strong> the measurement<br />
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Gary Mavko – <strong>Stanford</strong> <strong>Rock</strong> <strong>Physics</strong> Laboratory
Why Worry about Anisotropy?<br />
• It is everywhere.<br />
• It affects amplitudes, traveltimes, and ray paths<br />
• It changes fluid substitution procedures<br />
• It affects the seismic signature <strong>of</strong> pore pressure<br />
• It responds to stress<br />
It might also be a diagnostic <strong>of</strong> shale properties.<br />
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Gary Mavko – <strong>Stanford</strong> <strong>Rock</strong> <strong>Physics</strong> Laboratory
Practical Challenges<br />
• Predict / infer anisotropy from sparse data -- e.g. well logs<br />
• Incorporate anisotropy in seismic acquisition and imaging.<br />
• Understand seismic anisotropy for seismic interpretation<br />
(lithology, fluids, pressure, stress)<br />
• Map permeability anisotropy for reservoir management.<br />
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Gary Mavko – <strong>Stanford</strong> <strong>Rock</strong> <strong>Physics</strong> Laboratory
Sources <strong>of</strong> Anisotropy<br />
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Gary Mavko – <strong>Stanford</strong> <strong>Rock</strong> <strong>Physics</strong> Laboratory
Layering Anisotropy<br />
This will be present in all sedimentary<br />
basins. Anisotropy results from the<br />
contrasting layers, from the intrinsic<br />
anisotropy within layers, from<br />
superimposed fractures, and from stress<br />
differences.<br />
Intrinsic fabric anisotropy<br />
(e.g.shale) tends to dominate<br />
over the layering effect.<br />
The Backus Average is our<br />
primary rock physics tool for<br />
layered systems<br />
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Gary Mavko – <strong>Stanford</strong> <strong>Rock</strong> <strong>Physics</strong> Laboratory
Fabric Anisotropy<br />
Here we show a photo <strong>of</strong> beach sand, poured into a clear<br />
container. Even though it is relatively homogenous and<br />
well-sorted, there is a subtle fabric that translates into<br />
seismic anisotropy.<br />
If you can see a fabric, then there probably is anisotropy.<br />
Sand photograph<br />
Seismic Vp vs. confining pressure<br />
Vega, 2003, Ph.D. Dissertation, <strong>Stanford</strong> Univ.<br />
Horizontal<br />
Vertical<br />
Gary Mavko – <strong>Stanford</strong> <strong>Rock</strong> <strong>Physics</strong> Laboratory
Fabric Anisotropy<br />
Mylonite<br />
horizontal<br />
vertical<br />
Jones, 1983, Ph.D. Dissertation <strong>Stanford</strong><br />
Gary Mavko – <strong>Stanford</strong> <strong>Rock</strong> <strong>Physics</strong> Laboratory
Fabric Anisotropy<br />
Gneiss<br />
horizontal<br />
vertical<br />
Jones, 1983, Ph.D. Dissertation <strong>Stanford</strong><br />
Gary Mavko – <strong>Stanford</strong> <strong>Rock</strong> <strong>Physics</strong> Laboratory
Fabric Anisotropy<br />
<strong>Shale</strong><br />
horizontal<br />
vertical<br />
fast S<br />
slow S<br />
Tosaya, 1982, Ph.D. Dissertation <strong>Stanford</strong><br />
Gary Mavko – <strong>Stanford</strong> <strong>Rock</strong> <strong>Physics</strong> Laboratory
<strong>Shale</strong> Anisotropy<br />
Sources <strong>of</strong> shale anisotropy:<br />
• Alignment <strong>of</strong> platy clay minerals<br />
• Alignment <strong>of</strong> the domains (clusters <strong>of</strong> clay)<br />
• Alignment <strong>of</strong> non-spherical pores and microcracks<br />
• Alignment <strong>of</strong> fractures at scales much larger than the grains and<br />
pores<br />
• Fine-scale lamination <strong>of</strong> shaly materials with different stiffnesses<br />
• Lenses <strong>of</strong> kerogen<br />
<strong>Shale</strong> <strong>of</strong>ten has VTI symmetry<br />
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Gary Mavko – <strong>Stanford</strong> <strong>Rock</strong> <strong>Physics</strong> Laboratory
Aligned Fabric Anisotropy<br />
Bandyopadhyay, 2009, Ph.D. dissertation, <strong>Stanford</strong><br />
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Gary Mavko – <strong>Stanford</strong> <strong>Rock</strong> <strong>Physics</strong> Laboratory
Deposition/Compaction Hypotheses<br />
• <strong>Shale</strong> anisotropy should increase with effective stress/depth/compaction as clay grains<br />
become more and more aligned -- (Tosaya, 1982)<br />
• Dispersed sedimentation in a low energy environment leads to strong preferred<br />
orientation at the onset <strong>of</strong> sedimentation.<br />
• Bioturbation can randomize the texture<br />
• Flocculated clay aggregates have random orientation <strong>of</strong> clay particles. These aggregates<br />
might eventually collapse and align with compaction<br />
• Lab experiments seem to confirm some increase in anisotropy with compaction, but not<br />
to the extent <strong>of</strong> simple rock models.<br />
• Overpressure: disequilibrium compaction can slow alignment <strong>of</strong> grains, causing lower<br />
anisotropy. However, late-stage overpressure can open cracks in the fissile and increase<br />
anisotropy.<br />
Tosaya, 1982, Ph.D. Dissertation <strong>Stanford</strong><br />
Bandyopadhyay, 2009, Ph.D. dissertation, <strong>Stanford</strong><br />
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Gary Mavko – <strong>Stanford</strong> <strong>Rock</strong> <strong>Physics</strong> Laboratory
Organic-Rich <strong>Shale</strong> Anisotropy<br />
Presence <strong>of</strong> organic compounds requires a low energy<br />
environment, a rapid burial <strong>of</strong> organic materials, and anoxic<br />
bottom water for the preservation <strong>of</strong> the organic material – all<br />
favoring fabric alignments. Elastic anisotropy in organic-rich<br />
rocks is well established in Geophysics literature (Vernik and<br />
Landis, 1996; Vernik and Liu, 1997).<br />
Bandyopadhyay, 2009, Ph.D. dissertation, <strong>Stanford</strong><br />
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Gary Mavko – <strong>Stanford</strong> <strong>Rock</strong> <strong>Physics</strong> Laboratory
Velocity Anisotropy from Thinly Layered Kerogen<br />
Velocities in kerogen-rich Bakken shales (Vernik, 1990) and other low porosity<br />
argillaceous rocks (Lo et al., 1985; Tosaya, 1982; Vernik et al., 1987). Compiled<br />
by Vernik, 1990.<br />
<strong>Stanford</strong> Gary <strong>Rock</strong> Mavko <strong>Physics</strong> – <strong>Stanford</strong> Laboratory <strong>Rock</strong> <strong>Physics</strong> - Gary Laboratory Mavko<br />
F.24
A negative correlation is <strong>of</strong>ten found between the clay fabric intensity and the<br />
quartz content in shale.<br />
Increasing<br />
alignment<br />
Data from Curtis et al., 1980.<br />
Clay orientation distribution from XRD.<br />
from: Bandyopadhyay, 2009, Ph.D. Dissertation, <strong>Stanford</strong><br />
Data from Johnston and Christensen, 1995.<br />
Anisotropy vs. quartz fraction.<br />
Johnston, J. E., and N. I., Christensen, 1995, Journal <strong>of</strong> Geophysical Research B, 100, 5991–6003.<br />
Curtis, C. D., S. R., Lipshie, G., Oertel, and M. J., Pearson, 1980, : Sedimentology, 27, 333-339.<br />
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Gary Mavko – <strong>Stanford</strong> <strong>Rock</strong> <strong>Physics</strong> Laboratory
Velocity Sensitivity to Effective Pressure<br />
Vertical Vp<br />
Increasing<br />
maturity<br />
Vernik and Liu, 1997, GEOPHYSICS, 62, 521–532.<br />
Vernik, GEOPHYSICS, 1994, 59, 555-563<br />
Vernik and Landis, 1996, AAPG Bulletin, 80, 531–544.<br />
Vanorio et al., June 2008, The Leading Edge.<br />
Pressure sensitivity indicates<br />
cracks. For these samples,<br />
higher maturity samples have<br />
more stress sensitivity.<br />
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Gary Mavko – <strong>Stanford</strong> <strong>Rock</strong> <strong>Physics</strong> Laboratory
Anisotropy Sensitivity to Pressure, Maturity<br />
Vp anisotropy<br />
Increasing<br />
Peff<br />
Vanorio et al., 2008<br />
Vernik and Liu, 1997, GEOPHYSICS, 62, 521–532.<br />
Vernik, GEOPHYSICS, 1994, 59, 555-563<br />
Vernik and Landis, 1996, AAPG Bulletin, 80, 531–544.<br />
Vanorio et al., June 2008, The Leading Edge.<br />
More crack anisotropy at<br />
higher maturity.<br />
Less “intrinsic” anisotropy at<br />
higher maturity.<br />
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Gary Mavko – <strong>Stanford</strong> <strong>Rock</strong> <strong>Physics</strong> Laboratory
Lab data: Anisotropy vs. Effective Pressure<br />
Colored by TOC<br />
Niobrara<br />
Vernik and Liu, 1997, GEOPHYSICS, 62, 521–532<br />
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Gary Mavko – <strong>Stanford</strong> <strong>Rock</strong> <strong>Physics</strong> Laboratory
Lab data: Anisotropy vs. Effective Pressure<br />
Colored by R0<br />
Niobrara<br />
Vernik and Liu, 1997, GEOPHYSICS, 62, 521–532<br />
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Gary Mavko – <strong>Stanford</strong> <strong>Rock</strong> <strong>Physics</strong> Laboratory
Vertical Fractures<br />
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Gary Mavko – <strong>Stanford</strong> <strong>Rock</strong> <strong>Physics</strong> Laboratory
Fracture Anisotropy<br />
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Gary Mavko – <strong>Stanford</strong> <strong>Rock</strong> <strong>Physics</strong> Laboratory
Fracture Permeability<br />
High Pp<br />
Natural or induced fractures can dominate shale perm; they are<br />
usually necessary for economically interesting flow in shale.<br />
These fractures also impact Vp, Vs, Vp/Vs ratio, attenuation,<br />
and anisotropy.<br />
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Gary Mavko – <strong>Stanford</strong> <strong>Rock</strong> <strong>Physics</strong> Laboratory
Fracture Permeability<br />
Low Pp<br />
Effective stress closes fractures, decreasing permeability and<br />
increasing seismic velocities.<br />
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Gary Mavko – <strong>Stanford</strong> <strong>Rock</strong> <strong>Physics</strong> Laboratory
Fractures/<br />
Brittleness<br />
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Gary Mavko – <strong>Stanford</strong> <strong>Rock</strong> <strong>Physics</strong> Laboratory
Predicting/measuring Brittleness<br />
Brittleness increases the chances <strong>of</strong> naturally occurring fractures, as<br />
well as success <strong>of</strong> hydr<strong>of</strong>racs. Brittle materials accommodate strain<br />
(deformation) by breaking. In constrast, ductile materials<br />
accommodate strain by “flowing.” Not only are ductile materials less<br />
likely to create permeable fractures, ductile materials will also allow<br />
man-made fractures to close or “heal.”<br />
Important practical issue is how to determine geomechanical<br />
properties from geophysical measurements.<br />
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Gary Mavko – <strong>Stanford</strong> <strong>Rock</strong> <strong>Physics</strong> Laboratory
Brittleness: Examples<br />
Low Clay (tight sandstone) High Clay Fraction<br />
Porosity .01<br />
Clay .12<br />
Porosity .05<br />
Clay .31<br />
Porosity .05<br />
Clay .63<br />
In these examples, ductility depends on (1) composition and (2)<br />
confining stress.<br />
Brittle failure has little or no plastic flow before failure.<br />
Jizba, 1991, Ph.D. Dissertation, <strong>Stanford</strong> <strong>University</strong>.<br />
Jizba, 1991, Ph.D.<br />
dissertation, <strong>Stanford</strong><br />
Univ.<br />
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Gary Mavko – <strong>Stanford</strong> <strong>Rock</strong> <strong>Physics</strong> Laboratory
Predicting/measuring Brittleness<br />
Brittleness is a complex function <strong>of</strong> lithology, composition, TOC,<br />
effective stress, temperature, diagenesis, thermal maturity,<br />
porosity, …<br />
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Gary Mavko – <strong>Stanford</strong> <strong>Rock</strong> <strong>Physics</strong> Laboratory
Fractures Usually Prefer Certain Lith<strong>of</strong>acies<br />
Joint Sheared Joint<br />
Brittle facies <strong>of</strong>ten<br />
accommodate strain by<br />
fracturing, while shales<br />
might accommodate<br />
strain ductily.<br />
J-M. Florez, 2005. Ph.D.<br />
Dissertation, <strong>Stanford</strong> Univ.<br />
Gary Mavko – <strong>Stanford</strong> <strong>Rock</strong> <strong>Physics</strong> Laboratory
Quantifying Brittleness<br />
Because material failure is important in many technologies, there<br />
are many attempts to define or quantify a Brittleness Index, e.g.<br />
€<br />
B 1 = σ c<br />
σ t<br />
where<br />
€<br />
€<br />
€<br />
€<br />
B 2 = σ c − σ t<br />
σ c + σ t<br />
σ c<br />
σ t<br />
q<br />
Kahraman, 2003, Engineering Geology 65 (2002) 269–283<br />
B 2 = qσ c<br />
= Uniaxial compressive strength<br />
= Tensile € strength<br />
= Amount <strong>of</strong> fines in impact test<br />
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Gary Mavko – <strong>Stanford</strong> <strong>Rock</strong> <strong>Physics</strong> Laboratory
Predicting/measuring Brittleness<br />
‘Halliburton’ Brittleness Index<br />
€<br />
( ) /2<br />
B = E Brit +ν Brit<br />
E Brit =100( E static −1)<br />
/ ( 8−1)<br />
( ) / 0.15−0.4<br />
ν Brit =100 ν static −0.4<br />
Rickman et al., 2008, SPE 115258, SPE Annual Meeting<br />
( )<br />
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Gary Mavko – <strong>Stanford</strong> <strong>Rock</strong> <strong>Physics</strong> Laboratory
Quantifying Brittleness<br />
€<br />
€<br />
€<br />
Because material failure is important in many technologies, there<br />
are many attempts to define or quantify a Brittleness Index, e.g.<br />
B 1 = σ c<br />
σ t<br />
B 2 = σ c − σ t<br />
σ c + σ t<br />
B 2 = qσ c<br />
€<br />
€<br />
σ c<br />
σ t<br />
q<br />
Kahraman, 2003, Engineering Geology 65 (2002) 269–283<br />
Correlate with penetration rate <strong>of</strong> rotary<br />
drills<br />
Correlates with penetration rate <strong>of</strong> percussive<br />
drills<br />
= Uniaxial compressive strength<br />
= Tensile strength<br />
= Amount <strong>of</strong> fines in impact test<br />
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Gary Mavko – <strong>Stanford</strong> <strong>Rock</strong> <strong>Physics</strong> Laboratory
Quantifying Brittleness<br />
In terms <strong>of</strong> overconsolidation ratio<br />
€<br />
OCR = σ V max<br />
σ V<br />
(only valid for layered rocks and max principal stress is vertical)<br />
€<br />
€<br />
€<br />
Brittleness:<br />
( ) OC<br />
( ) NC<br />
B = σ c<br />
σ c<br />
σ V Vertical stress<br />
σ V max Vertical stress at max burial<br />
= OCR b<br />
Nygard et al., Marine and Petroleum Geology 23 (2006) 201–212<br />
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Gary Mavko – <strong>Stanford</strong> <strong>Rock</strong> <strong>Physics</strong> Laboratory
Brittleness: Composition<br />
Composition: There is anecdotal evidence that (1) silica<br />
(siltiness) and (2) calcite content increase brittleness. One<br />
index that is sometimes quoted:<br />
€<br />
B ( % ) =<br />
An intuitive extension to calcite:<br />
€<br />
B ( % ) =<br />
Q<br />
Q + Carbon + Clay<br />
Q + Calcite<br />
Q + Calcite + Carbon + Clay<br />
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Gary Mavko – <strong>Stanford</strong> <strong>Rock</strong> <strong>Physics</strong> Laboratory
Quartz and Calcite are more brittle than clay and TOC<br />
Dolomite (dolostone, dolomicrite) more brittle than calcite<br />
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Gary Mavko – <strong>Stanford</strong> <strong>Rock</strong> <strong>Physics</strong> Laboratory
Brittleness: Composition<br />
⎛⎛<br />
⎜⎜<br />
⎝⎝<br />
Issue: How to measure brittleness from logs? Calcite and quartz each have<br />
distinctly different Vp/Vs than shale. However when added, they might cancel<br />
changes in Vp/Vs.<br />
VP VS ⎞⎞<br />
⎟⎟ ≤<br />
⎠⎠ sand<br />
V ⎛⎛ ⎞⎞ P<br />
⎜⎜ ⎟⎟ ≤<br />
⎝⎝ VS ⎠⎠ shale<br />
V ⎛⎛ ⎞⎞ P<br />
⎜⎜ ⎟⎟<br />
⎝⎝ VS ⎠⎠ limestone<br />
Increasing<br />
stiffness<br />
Increasing Vp/Vs<br />
Increasing gas<br />
Increasing<br />
porosity<br />
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Gary Mavko – <strong>Stanford</strong> <strong>Rock</strong> <strong>Physics</strong> Laboratory
Poisson’s ratio Young’s Modulus (GPa)<br />
quartz .07 94<br />
calcite .31 79<br />
dolomite .23 121<br />
clay .35 36<br />
rubber ~0.48 .01<br />
copper 0.34 117<br />
steel 0.30 210<br />
glass 0.2-0.3 50-90<br />
cork ~0 0.03<br />
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Gary Mavko – <strong>Stanford</strong> <strong>Rock</strong> <strong>Physics</strong> Laboratory
€<br />
Beware <strong>of</strong> Poor Legacy Assumptions<br />
€<br />
σ v<br />
σ h<br />
• Sediments deform plastically<br />
during burial – not elastically<br />
• Therefore the horizontal stress is<br />
NOT the elastic expression:<br />
σ h ≠σ v<br />
σ h ≠σ v<br />
⎡⎡ ν ⎤⎤<br />
⎣⎣ ⎢⎢ 1−ν ⎦⎦ ⎥⎥<br />
⎡⎡ C ⎤⎤ 13<br />
⎢⎢<br />
⎣⎣ C ⎥⎥<br />
⎦⎦ 33<br />
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Gary Mavko – <strong>Stanford</strong> <strong>Rock</strong> <strong>Physics</strong> Laboratory
Modeling<br />
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Gary Mavko – <strong>Stanford</strong> <strong>Rock</strong> <strong>Physics</strong> Laboratory
€<br />
€<br />
Modeling Composition<br />
Density:<br />
ρ = ∑ xiρ i<br />
ρ = ( 1− k −φ)ρ<br />
mineral + kρker +φρ fluid<br />
k = ρb −( 1− φ)<br />
ρmineral − φρfluid ρk − ρmineral k ≈ ρ b − ρ mineral<br />
ρ k − ρ mineral<br />
; when φ ≤ .03<br />
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Gary Mavko – <strong>Stanford</strong> <strong>Rock</strong> <strong>Physics</strong> Laboratory
€<br />
Modeling Composition<br />
Elastic Modulus: Voigt-Reuss-Hill average<br />
⎡⎡<br />
K = 0.5 ∑ xiK i + ∑ xi /Ki ⎣⎣ ⎢⎢<br />
⎡⎡<br />
µ = 0.5 ∑ xiµ i + ∑ xi /µ i<br />
⎣⎣ ⎢⎢<br />
( ) −1<br />
( ) −1<br />
⎤⎤<br />
⎦⎦ ⎥⎥<br />
⎤⎤<br />
⎦⎦ ⎥⎥<br />
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Gary Mavko – <strong>Stanford</strong> <strong>Rock</strong> <strong>Physics</strong> Laboratory
Mineral Properties<br />
density Bulk<br />
modulus<br />
Shear<br />
modulus<br />
Young’s<br />
modulus<br />
Poisson’s<br />
ratio<br />
quartz 2.65 37 44 94 .074<br />
feldspar 2.62 37 15 40 .324<br />
calcite 2.71 70 30 79 .313<br />
dolomite 2.87 75 49 120 .232<br />
siderite 3.96 124 51 135 .32<br />
clay 2.55 25 9 36 .279<br />
pyrite 4.93 147 133 306 .15<br />
kerogen 1.30 6 5 12 .19<br />
A Comparative Study <strong>of</strong> the Mississippian Barnett <strong>Shale</strong>, Fort Worth Basin, and Devonian Marcellus <strong>Shale</strong>, Appalachian<br />
Basin, Bruner and Samosna, DOE/NETL-2011/1478.<br />
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Gary Mavko – <strong>Stanford</strong> <strong>Rock</strong> <strong>Physics</strong> Laboratory
Examples<br />
Quartz Calcite Dolomite Clay Kerogen Pyrite E Poisson’s<br />
Ratio<br />
40 10 5 30 10 5 62 0.19 2.65<br />
20 10 5 50 10 5 48 0.22 2.66<br />
10 10 5 60 10 5 49 0.24 2.66<br />
10 20 5 45 15 5 50 0.24 2.60<br />
10 30 5 40 10 5 56 0.25 2.67<br />
10 20 5 50 10 5 52 0.24 2.67<br />
10 30 5 40 10 5 56 0.25 2.67<br />
10 40 5 30 10 5 59 0.25 2.67<br />
10 40 5 25 15 5 56 0.25 2.60<br />
Density<br />
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Gary Mavko – <strong>Stanford</strong> <strong>Rock</strong> <strong>Physics</strong> Laboratory
Example computed trends<br />
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Gary Mavko – <strong>Stanford</strong> <strong>Rock</strong> <strong>Physics</strong> Laboratory
Example computed trends<br />
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Gary Mavko – <strong>Stanford</strong> <strong>Rock</strong> <strong>Physics</strong> Laboratory
Density vs. Kerogen<br />
Lab data (Vernik and Landis, 1996), plotted as bulk density vs. kerogen volume, from samples <strong>of</strong> Bakken shale.<br />
The four sets <strong>of</strong> lines are labeled with the assumed kerogen density, ranging from 1.0-1.6 g/cm 3 . The four black<br />
lines assume the measured porosity ~0.01, and oil in the pores. The dashed red lines assume the porosity is zero.<br />
The dashed blue lines assume that the porosity is saturated with gas.<br />
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Gary Mavko – <strong>Stanford</strong> <strong>Rock</strong> <strong>Physics</strong> Laboratory
Gary Mavko – <strong>Stanford</strong> <strong>Rock</strong> <strong>Physics</strong> Laboratory
Bandyopadhyay, 2009, Ph.D. dissertation, <strong>Stanford</strong><br />
Vernik and Liu, 1997, GEOPHYSICS, 62, 521–532.<br />
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Gary Mavko – <strong>Stanford</strong> <strong>Rock</strong> <strong>Physics</strong> Laboratory
Bandyopadhyay, 2009, Ph.D. dissertation, <strong>Stanford</strong><br />
Vernik and Liu, 1997, GEOPHYSICS, 62, 521–532.<br />
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Gary Mavko – <strong>Stanford</strong> <strong>Rock</strong> <strong>Physics</strong> Laboratory
Bedding-Plane Microcracks<br />
Adding horizontal cracks tends to decrease velocities – depends on fluid.<br />
Wet cracks<br />
Gas-filled cracks<br />
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Gary Mavko – <strong>Stanford</strong> <strong>Rock</strong> <strong>Physics</strong> Laboratory
Bedding-Plane Microcracks<br />
Adding horizontal cracks modifies Vp/Vs – depends on fluid.<br />
Wet cracks<br />
Gas-filled cracks<br />
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Gary Mavko – <strong>Stanford</strong> <strong>Rock</strong> <strong>Physics</strong> Laboratory
Bedding-Plane Microcracks<br />
Cracks modify intrinsic anisotropy.<br />
Wet cracks<br />
Gas-filled cracks<br />
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Gary Mavko – <strong>Stanford</strong> <strong>Rock</strong> <strong>Physics</strong> Laboratory
Bedding-Plane Microcracks<br />
Velocities vs. angle <strong>of</strong> incidence.<br />
Wet cracks<br />
Gas-filled cracks<br />
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Gary Mavko – <strong>Stanford</strong> <strong>Rock</strong> <strong>Physics</strong> Laboratory
Vertical Fracture Modeling<br />
Observed:<br />
Strong travel time anisotropy,<br />
not much amplitude variation<br />
Reduced travel time anisotropy,<br />
subtle amplitude variation<br />
small travel time anisotropy,<br />
more amplitude variation,<br />
Early troughs are stretched<br />
Azimuth From Fracture Normal<br />
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Gary Mavko – <strong>Stanford</strong> <strong>Rock</strong> <strong>Physics</strong> Laboratory
Vertical Fracture Modeling<br />
Interpretation<br />
Heavily<br />
fractured,<br />
brine<br />
Rotated<br />
minimal<br />
fractures<br />
No<br />
fractures<br />
Heavily<br />
fractured,<br />
brine<br />
Brine<br />
Gas<br />
Brine<br />
Fracture<br />
strike<br />
Brine<br />
Fracture<br />
strike<br />
Fracture<br />
strike<br />
Azimuth From Fracture Normal<br />
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Gary Mavko – <strong>Stanford</strong> <strong>Rock</strong> <strong>Physics</strong> Laboratory
Vertical Fracture Modeling -- Amplitude<br />
Amplitude<br />
Brine<br />
Gas<br />
Brine<br />
Fracture<br />
strike<br />
Brine<br />
Fracture<br />
strike<br />
Fracture<br />
strike<br />
Azimuth From Fracture Normal<br />
S08bSM07bM-0bBR0E-09b.tif<br />
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Gary Mavko – <strong>Stanford</strong> <strong>Rock</strong> <strong>Physics</strong> Laboratory
Vertical Fracture Modeling -- NMO<br />
Travel time<br />
Brine<br />
Gas<br />
Brine<br />
Fracture<br />
strike<br />
Brine<br />
Fracture<br />
strike<br />
Fracture<br />
strike<br />
Azimuth From Fracture Normal<br />
S08bSM07bM-0bBR0E-09b.tif<br />
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Gary Mavko – <strong>Stanford</strong> <strong>Rock</strong> <strong>Physics</strong> Laboratory
Summary<br />
• <strong>Shale</strong> is defined by particle size.<br />
• <strong>Shale</strong> can have a very large range <strong>of</strong> compositions.<br />
• <strong>Shale</strong> can have a large range <strong>of</strong> P- and S-wave velocities<br />
- Composition<br />
- Porosity<br />
- Effective stress<br />
- Compaction<br />
• <strong>Shale</strong> Vp/Vs depends on composition, especially relative<br />
amounts <strong>of</strong> clay, silt, organics, and carbonate<br />
• <strong>Shale</strong> can have a large range <strong>of</strong> anisotropies<br />
- Small if bioturbated<br />
- Large if a pronounced fabric<br />
- Silt and cementation can reduce anisotropy<br />
• In kerogen-rich shales, properties depend on composition, TOC,<br />
and maturity, and fracatures.<br />
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Gary Mavko – <strong>Stanford</strong> <strong>Rock</strong> <strong>Physics</strong> Laboratory
Issues<br />
• <strong>Shale</strong> lab data are sparse, compared with sandstone and<br />
carbonate.<br />
• Logs are also more common in reservoirs than shales.<br />
• Other than models like s<strong>of</strong>t-sediment and Raymer, we don’t<br />
have any comprehensive shale models.<br />
• <strong>Shale</strong> anisotropy depends on many factors and is difficult to<br />
predict.<br />
• Organic shales (oil shale and gas shale) can have a range <strong>of</strong><br />
properties, depending on composition, TOC, maturity.<br />
• For gas and oil shales, it is not clear what the geophysical<br />
questions are:<br />
- TOC?<br />
- Maturity?<br />
- Geomechanical?<br />
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Gary Mavko – <strong>Stanford</strong> <strong>Rock</strong> <strong>Physics</strong> Laboratory
Gary Mavko – <strong>Stanford</strong> <strong>Rock</strong> <strong>Physics</strong> Laboratory