摘要
根据声波的走时方程,利用施瓦兹不等式,从理论上推导了声波的概率成像原理,为阵列声波测井提出了一种新的解释方法——声波的概率成像法。这是一种非迭代方法,不需要求解声波成像中大型的稀疏矩阵,因此计算量小,具有简单、高效、不需要先验信息等优点。该方法在提取声波的异常走时之后,引入扫描函数,定义概率成像函数为测量的场分布与扫描函数的归一化的互相关运算;用扫描函数扫描整个成像空间,计算空间各点的概率值,并用概率值的等值线分布描述异常体的分布状态。通过阵列测井中的单个异常体模型和2个异常体模型的算例,证明了这种方法是可行的。
According to the acoustic travel time equation, used the Schwarz inequality, theory of probability tomography was deduced. Thus, acoustic probability tomography, which was a new interpretation for the array acoustic logging,was developed. This method is non-iterative, do not need to solve the large-scale sparse matrix of acoustic imaging, so it has small computation cost, and advantages of simple, efficient, no priori information, etc. After anomaly of acoustic travel- time was extracted, scanning function was introduced, and function of probability tomography was defined as the nor- malized cross-correlation computation of observed field and scanning function. Scanning function was used to scan the whole observed space, and values of probability tomography, whose contour described the distribution of anomalous bodies,was computed. Synthetic examples of single abnormal body and two abnormal bodies in array sonic log show that this method is practicable.
出处
《煤炭学报》
EI
CAS
CSCD
北大核心
2010年第2期232-235,共4页
Journal of China Coal Society
关键词
概率成像
阵列声波测井
层析成像
probability tomography
array sonic log
tomography
