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The Asperity-deformation Model Improvements and Its Applications to Velocity Inversion

机译：粗糙变形模型的改进及其在速度反演中的应用

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摘要

Quantifying the influence of pressure on the effective elastic rock propertiesis important for applications in rock physics and reservoir characterization. Here Iinvestigate the relationship between effective pressure and seismic velocities by performinginversion on the laboratory-measured data from a suite of clastic, carbonateand igneous rocks, using different analytic and discrete inversion schemes. I explorethe utility of a physical model that models a natural fracture as supported by asperitiesof varying heights, when an effective pressure deforms the tallest asperities,bringing the shorter ones into contact while increasing the overall fracture stiffness.Thus, the model is known as the ?asperity-deformation? (ADM) or ?bed-of-nails?(BNM) model. Existing analytic solutions include one that assumes the host rock isinfinitely more rigid than the fractures, and one that takes the host-rock complianceinto account. Inversion results indicate that although both solutions can fit the datato within first-order approximation, some systematic misfits exist as a result of usingthe rigid-host solution, whereas compliant-host inversion returns smaller and randommisfits, yet out-of-range parameter estimates. These problems indicate the effects ofnonlinear elastic deformation whose degree varies from rock to rock. Consequently,I extend the model to allow for the pressure dependence of the host rock, therebyphysically interpreting the nonlinear behaviors of deformation. Furthermore, I applya discrete grid-search inversion scheme that generalizes the distribution of asperityheights, thus accurately reproduces velocity profiles, significantly improves the fit and helps to visualize the distribution of asperities. I compare the analytic and numericalasperity-deformation models with the existing physical model of elliptical ?pennyshape?cracks with a pore-aspect-ratio (PAR) spectrum in terms of physical meaningand data-fitting ability. The comparison results provide a link and demonstrate theconsistency between the use of the two physical models, making a better understandingof the microstructure as well as the contact mechanism and physical behaviors ofrocks under pressure. ADM-based solutions, therefore, have the potential to facilitatemodeling and interpretation of applications such as time-lapse seismic investigationsof fractured reservoirs.
机译：量化压力对有效弹性岩石特性的影响对于岩石物理和储层表征中的应用很重要。在这里，我使用不同的解析和离散反演方案，对一组碎屑，碳酸盐和火成岩的实验室测量数据进行反演，从而研究了有效压力与地震速度之间的关系。我探索了一种物理模型的实用性，该模型可以模拟由不同高度的凹凸不平支撑的天然裂缝，当有效压力使最高的凹凸不平变形时，使较短的凹凸不平接触，同时又增加了整体裂缝的刚度。粗糙变形？ （ADM）或“指甲床”（BNM）模型。现有的分析解决方案包括一种假定母岩比裂缝无限刚性的解决方案，以及一种考虑母岩顺应性的解决方案。反演结果表明，尽管这两种解决方案都可以使数据适合一阶近似值，但由于使用刚性宿主解决方案而存在一些系统失配，而顺应性宿主反演会返回较小且随机的失配，但参数估计超出范围。这些问题表明了非线性弹性变形的影响，非线性变形的程度随岩石的不同而不同。因此，我扩展了模型以考虑到主岩的压力依赖性，从而从物理上解释了变形的非线性行为。此外，我应用了一种离散的网格搜索反演方案，该方案可以概括粗糙高度的分布，从而准确地再现速度分布图，显着提高拟合度并有助于可视化粗糙的分布。在物理意义和数据拟合能力方面，我将解析和数值变质变形模型与具有孔纵横比（PAR）谱的椭圆形“细小形状”裂纹的现有物理模型进行了比较。比较结果提供了一个联系并证明了这两种物理模型之间的一致性，从而更好地理解了岩石在压力下的微观结构以及接触机理和物理行为。因此，基于ADM的解决方案具有促进对诸如裂缝性储层的时移地震勘测之类的应用进行建模和解释的潜力。

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    Bui Hoa Q.;

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  • 年度 2010
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  • 正文语种 en_US
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