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structural geology, propagation mechanics and - Stanford School of ...

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hooking-tip interactions—using the BEM code. The degree <strong>of</strong> success attained suggests<br />

that the linear elastic anticrack mechanical model provides a valid first approximation for<br />

conceptualizing <strong>and</strong> simulating CB <strong>propagation</strong>. Perhaps the most interesting <strong>and</strong><br />

potentially useful result <strong>of</strong> this paper is the model observation that anticrack CBs respond<br />

to high compressive normal stress (σ2 ≈ σ1) oriented parallel to their trend with<br />

<strong>propagation</strong>-path instability. This is opposite to the instability effect observed for<br />

opening-mode cracks (Olson <strong>and</strong> Pollard, 1989; Thomas <strong>and</strong> Pollard, 1993), <strong>and</strong> could be<br />

used to help forecast the degree <strong>of</strong> anastomosis in subsurface CB arrays as a function <strong>of</strong><br />

stress history. By the same token, the configuration <strong>of</strong> an exhumed CB array could be<br />

used to constrain the ambient principal paleostress state (orientation <strong>and</strong> magnitude) in<br />

which it formed. For this paper, I performed all the fieldwork, modeling, writing <strong>and</strong><br />

figure drafting, with guidance <strong>and</strong> editing provided by second-author David Pollard. For<br />

the modeling, I used the BEM code written by third-author Gaurav Chopra (Chapter 2).<br />

Submission <strong>of</strong> a final manuscript based on Chapter 4 to Journal <strong>of</strong> Structural Geology is<br />

anticipated.<br />

Chapter 5 represents another outgrowth <strong>of</strong> my collaborative efforts, in this case with<br />

Tapan Mukerji <strong>and</strong> Youngseuk Keehm <strong>of</strong> the <strong>Stanford</strong> Rock Physics <strong>and</strong> Borehole<br />

Geophysics (SRB) Group. I had gone to Mukerji for help in using MATLAB® to<br />

perform automated image-analysis measurements <strong>of</strong> porosity from my thin-sections, the<br />

results <strong>of</strong> which contributed to every other chapter in this thesis. For the purposes <strong>of</strong> the<br />

fluid-flow modeling presented in Chapter 7, I had also contemplated collecting<br />

permeability measurements, but was dissuaded by the difficulty <strong>of</strong> obtaining reliable<br />

results from thin CBs at reasonable expense. Through Mukerji, however, I learned <strong>of</strong> the<br />

computational permeability estimation algorithm that had been developed in the SRB,<br />

principally by Keehm, <strong>and</strong> could be used to generate virtual permeability measurements<br />

from my existing thin sections. I recognized the opportunity to perform a practical test <strong>of</strong><br />

this new tool within the context <strong>of</strong> the analog reservoir research concept. Specifically, we<br />

applied the method to my prize thin section <strong>and</strong> compared the estimation results to<br />

available permeability measurement data for both CBs <strong>and</strong> host rock from the Aztec <strong>and</strong><br />

Navajo s<strong>and</strong>stones. Correspondence was excellent, suggesting that, for a subsurface<br />

equivalent <strong>of</strong> the CB-rich Aztec from which only scarce, potentially unconsolidated<br />

4

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