Methods of radio frequency magnetic field mapping

1. A method for measuring B 1 for an MRI sample space comprising:

(a) providing a uniform object in the sample space;

(b) generating an excitation pulse, the excitation pulse comprising a low flip angle and an RF pulse duration;

(c) acquiring a signal from the excitation pulse wherein the signal is spatially encoded with a phase encode gradient;

(d) measuring the intensity of the acquired signal;

(e) repeating steps (b) to (d) while varying the phase encode gradient to obtain a phase encoded data set;

(f) applying a Fourier transform to the phase encoded data set to generate an MRI image for the specific pulse duration;

(g) varying the RF pulse duration and repeating steps (b) to (f);

(h) calculating at least two ratios of the signal intensity to at least two different RF pulse durations; and

(i) calculating a first slope using at least two of the ratios calculated in step (h), wherein the slope is dependent on B 1 2 for a first location in the object.

2. The method of claim 1 further comprising:

repeating the steps (b) to (i) while varying the pulse durations and phase encode gradients and calculating a second slope for a second location in the object.

3. The method of claim 2 further comprising:

plotting the first and second slopes and,

deriving the RF pulse shape data from the intercept of the plots of the first and second slopes with an axis representing the signal magnitude.

4. The method of claim 2 further comprising:

generating a relative B 1 map using the ratio of the first slope to the second slope.

5. The method of claim 4 further comprising:

providing an absolute value for B 1 for either the first or second location in the object and generating an absolute B 1 map.

6. The method of claim 5 further comprising:

modeling the effect of pulse length errors using the absolute B 1 map.

7. The method of claim 6 wherein the absolute B 1 map is in 3 dimensions.

8. The method of claim 2 further comprising:

calculating additional slopes for additional locations in the object by repeating the steps (b) to (i) and the step of generating a relative B 1 map using the ratio of the first slope to the second slope; and,

generating a relative B 1 map using ratios between the first, second and additional slopes.

9. A method correcting an MRI image of a non-uniform object comprising:

providing signal magnitude to position values for the image;

providing B 1 2 values for a plurality of locations in the object obtained using the steps of

(a) generating an excitation pulse, the excitation pulse comprising a low flip angle and an RF pulse duration;

(b) acquiring a signal from the excitation pulse wherein the signal is spatially encoded with a phase encode gradient;

(c) measuring the intensity of the acquired signal;

(d) repeating steps (a) to (c) while varying the phase encode gradient to obtain a phase encoded data set;

(e) applying a Fourier transform to the phase encoded data set to generate an MRI image for the specific pulse duration;

(f) varying the RF pulse duration and repeating steps (a) to (e);

(q) calculating at least two ratios of the signal intensity to at least two different RF pulse durations; and

(h) calculating a first slope using at least two of the ratios calculated in step (g), wherein the slope is dependent on B 1 2 for a first location in the object;

dividing the signal magnitude to position values by the B 1 2 values; and,

obtaining corrected signal magnitude to position values from the division operation,

wherein the signals are spatially encoded using a phase encoding selected from the group consisting of centric scan SPRITE, SPRITE and SPI.

10. The method of claim 9 wherein the non-uniform object is a reservoir rock sample.

11. A method of correcting signal intensity non-uniformities in an MRI image comprising:

providing a B 1 values measured according to the steps of

(a) providing a uniform object in the sample space;

(b) generating an excitation pulse, the excitation pulse comprising a low flip angle and an RF pulse duration;

(c) acquiring a signal from the excitation pulse wherein the signal is spatially encoded with a phase encode gradient;

(d) measuring the intensity of the acquired signal;

(e) repeating steps (b) to (d) while varying the phase encode gradient to obtain a phase encoded data set;

(f) applying a Fourier transform to the phase encoded data set to generate an MRI image for the specific pulse duration;

(g) varying the RF pulse duration and repeating steps (b) to (f);

(h) calculating at least two ratios of the signal intensity to at least two different RF pulse durations; and

(i) calculating a first slope using at least two of the ratios calculated in step (h), wherein the slope is dependent on B 1 2 for a first location in the object; and

correcting the non-uniformities using the B 1 values.