Method for subsurface electromagnetic surveying using two or more simultaneously actuated electromagnetic sources
A method for determining a formation response form a detected electromagnetic signal resulting from a first electromagnetic signal imparted into a subsurface earth formation and from a second electromagnetic signal imparted into the formation, the first and second signals being imparted substantially contemporaneously. The detected signals are deconvolved using the first electromagnetic signal. The deconvolved detected signal is used to estimate the formation response to the first electromagnetic signal. Convolving the estimated formation response from the estimated formation response with the first electromagnetic signal and subtracting a result of the convulsion with the first electromagnetic signal from the detected signal.
1. A method for determining a formation response from a detected electromagnetic signal resulting from a first electromagnetic signal imparted into a subsurface earth formation and from a second electromagnetic signal imparted into the formation, the first and second signals being imparted substantially contemporaneously, the method comprising:
(a) deconvolving the detected signal using the first electromagnetic signal;
(b) estimating the formation response to the first electromagnetic signal using the deconvolved detected signal;
(c) convolving the estimated formation response from (b) with the first electromagnetic signal, and
(d) subtracting a result of the convolution of the estimated formation response with the first electromagnetic signal from the detected signal.
2. The method of claim 1 wherein the estimating the formation response to the first electromagnetic signal using the deconvolved detected signal includes identifying a peak associated with the first electromagnetic signal and using the peak to determine the estimate.
3. The method of claim 2 further comprising (e) deconvolving the result of (d) with the second electromagnetic signal to produce an estimate of formation response to the second electromagnetic signal.
4. The method of claim 3 further comprising:
(f) convolving the estimate of the formation response to the second electromagnetic signal with the second electromagnetic signal;
(g) determining a difference between the result of (f) and the detected signal;
(h) deconvolving the result of (g) with the first electromagnetic signal to produce an improved estimate of the formation response to the first electromagnetic signal, and
(j) using the improved estimate produced in (h) by convolving the estimated formation response from (h) with the first electromagnetic signal, and subtracting a result of the convolution of the estimated formation response from (h) with the first electromagnetic signal from the detected signal.
5. The method of claim 4 further comprising iteratively repeating (c) to (j) until convergence occurs.
6. The method of claim 1 , wherein the first and second electromagnetic signals are substantially uncorrelated pseudo-random binary sequences.
7. The method of claim 1 , wherein the first and second electromagnetic signals have a cross correlation function of substantially zero.
8. The method of claim 1 wherein the first and second imparted signals have overlapping bandwidths.
9. The method of claim 1 wherein the first and second signals are imparted at substantially a same location.
10. The method of claim 1 wherein the detected signal is obtained at a plurality of different locations, each of the locations having a different distance to a location wherein the first and second signals are imparted.