To modify expanding response curve method(ERCM) for PID,an open-loop recursive solution to ERCM is proposed,which simplifies the parameter setting of PID.

A practical method to calculate the response curve of geophone linear array;

The analytic solutions and the forward programs of the numerical mode-matching method(NMM) of induction log are applied, and the response curves of some formation models are computed, and the main conclusions we obtain are as follows: X-signal can compensate R-signal for skin effect; the investigation depth of X-signal is greater than that of R-signa.

Using the least squares principle and B-spline function,the response curve of imaging process can be recovered,and the mapping relationship between pixel values and exposures is acquired.