| 甘磊,马洪影,沈振中.下凹形态裂隙面粗糙程度表征及立方定律修正系数拟合[J].水利学报,2021,52(4):420-431 |
| 下凹形态裂隙面粗糙程度表征及立方定律修正系数拟合 |
| Roughness characterization of concave fracture surface and coefficient fitting of modified cubic law |
| 投稿时间：2020-09-02 |
| DOI：10.13243/j.cnki.slxb.20200692 |
| 中文关键词: 裂隙面 粗糙度 下凹度 立方定律 修正系数 |
| 英文关键词: fracture surface roughness degree of concavity cubic law correction coefficient |
| 基金项目:国家自然科学基金项目（51609073）；江苏省自然科学基金项目（BK20201312）；水利部堤防安全与病害防治工程技术研究中心项目（DFZX2020003） |
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| 中文摘要: |
| 裂隙面粗糙程度直接影响着裂隙的渗流特性，利用高倍数码相机采集孔隙介质模块粗糙裂隙面信息，结合数字成像和MATALB技术拟定典型粗糙度的裂隙面，提出描述试样裂隙面粗糙程度的下凹度，研究下凹度对裂隙过流能力的影响，确定下凹形态粗糙裂隙的立方定律修正系数公式。结果表明：预制混凝土块裂隙面的下凹面积百分比随下凹程度的增大逐渐减小，立方定律修正系数与相对下凹度呈二次多项式关系；采用等效水力隙宽比直接采用1.0 mm光滑裂隙的模拟成果更贴近双重介质渗流水力特性试验结果，平均绝对误差MAE、均方根误差RMSE和平方根R2分别为1.35%、1.06×10-4和0.995。下凹形态粗糙裂隙立方定律修正系数成果与试验结果吻合，该修正系数模型公式是合理的。提出的粗糙度表征方法和修正立方定律能够有效描述下凹形态粗糙裂隙渗流特性。 |
| 英文摘要: |
| Roughness of fracture surface directly affects the seepage characteristics of fracture. A high-power digital camera is adopted to collect the rough information of the fracture surface on the porous medium. Combined with digital imaging and MATALB technology, the typical roughness fracture surface is determined. The concavity describing the roughness of fracture surface is proposed to study the influence of concave degree on the fracture flow capacity through the fracture. The modified coefficient formula of the cubic law for rough fracture with concave shape is proposed. The results show that the percentage of concave area decreases with the increase of the concave degree. The relationship between the correction coefficient of cubic law and the relative concavity is quadratic polynomial. The numerical simulation results by using the equivalent hydraulic fracture width are closer to the experimental results of hydraulic characteristics of dual-media seepage model than the smooth fracture with the fracture aperture of 1.0 mm. The mean absolute error (MAE), root mean square error (RMSE) and square root (R2) of the modified calculated values and test values are 1.35%, 1.06×10-4 and 0.995, respectively. The values of the correction coefficient of the cubic law of concave rough fracture are consistent with the measured values, and the formula of the modified coefficient model is reasonable. The proposed roughness characterization method and modified cubic law can thus effectively describe the seepage characteristics of rough fractures with concave morphology. |
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