Convolution formula refers to the mathematical operator that two functions F and G generate the third function. Represents the accumulation of the overlapping part of function f and flip translation g. If a function involved in convolution is regarded as the indicator function of the interval, then convolution can also be regarded as the generalization of moving average.

Characteristics of convolution formula

In convolutional neural networks, the overlapping part is represented by convolution function, and the area of this overlapping part is the feature. Convolution formula is used to calculate the density function pdf of the sum of random variables. Convolution formula is a mathematical method of integral transformation, which has been widely used in many aspects.

Using convolution formula to solve well test interpretation problems has achieved good results for a long time, but deconvolution has recently solved the stability problem of its calculation method, thus making deconvolution method quickly attract widespread attention in well test field.