P and SV wave scattering by thermally constrained saturated cracks couples elastic deformation with temperature. We estimate the scattering attenuation and velocity dispersion by aligned fluid‐saturated cracks with finite thickness, which are sparsely and randomly embedded in an isothermal and isotropic elastic medium. By incorporating thermoelastic effects into the representation theorem with the non‐interaction Foldy approximation, we formulate the dispersion and attenuation of P and SV waves induced by displacement discontinuities across aligned cracks constrained by a thermoelastic boundary condition. The frequency‐dependent response as a function of temperature is calculated for various P and SV wave incidence angles. The resulting scattering attenuation and dispersion are compared with those of the conventional aligned‐crack model. The examples show that the dissipation increases with increasing temperature, but the scattering is inhibited at a given temperature. The P wave shows a strong sensitivity to temperature along the direction normal to the cracks, whereas the SV wave has an opposite behavior. This theory has the potential to assess the distribution of temperature from seismic attributes.

中文翻译：

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等温弹性介质中有限厚度的对准流体饱和裂纹的P和SV波散射的热弹性色散和衰减

热约束饱和裂缝对P波和SV波的散射将弹性变形与温度耦合在一起。我们用有限厚度的对齐的流体饱和裂缝来估计散射衰减和速度色散，这些裂缝稀疏且随机地嵌入等温和各向同性的弹性介质中。通过使用非相互作用的Foldy逼近将热弹性效应纳入表示定理，我们公式化了由热弹性边界条件约束的对准裂缝位移不连续性引起的P波和SV波的色散和衰减。计算了各种P和SV随频率变化的频率相关响应波入射角。将所得的散射衰减和色散与常规对准裂纹模型的散射衰减和色散进行比较。实例表明，耗散随温度升高而增加，但在给定温度下散射被抑制。的P波示出沿法线方向的裂纹温度强烈的敏感性，而SV波具有相反的行为。该理论具有根据地震属性评估温度分布的潜力。