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Table 1

Illustration of the detailed steps of the proposed method.

Inputs: Model well log Xh, test low resolution log Yl, local patch size r, sampling interval δ, and neighborhood size K.
Step 1: Constructing model data pairs (Ml, Mh):
 Step 1.1: Down-sampling Xh to obtain the corresponding low resolution well log Xl;
 Step 1.2: Using (low-resolution) patch size r and (low-resolution) sampling interval being δ to continuously sample log patch pairs (Ml, Mh) from Xl and Xh;
Step 2: Initialing the expected super-resolution output Yh and the corresponding counting vector Ch to zeros.
Step 3: Conducting LLE-based super-resolution operation to Yl:
 For k = 1: δ: length (Yl)
  Step 3.1: Obtaining the current local patch ;
  Step 3.2: Finding the corresponding K nearest neighbors from Ml;
  Step 3.3: Calculating the LLE-based weight coefficient vector Wk using equation (7);
  Step 3.4: Estimating the corresponding super-resolution local patch using Wk and Mh.
  Step 3.5: Accumulating to Yh’s corresponding indexes .
  Step 3.6: ;
Step 4: Calculating the final Yh:
Yh = Yh/Ch (8)
Outputs: High resolution

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