Enhanced-resolution rock formation body wave slowness determination from borehole guided waves
An apparatus, method, and system for determining body wave slowness from guided borehole waves. The method includes selecting a target axial resolution based on the size of a receiver array, obtaining a plurality of waveform data sets corresponding to a target formation zone and each acquired at a different shot position, computing a slowness-frequency 2D dispersion semblance map for each waveform data set, stacking the slowness-frequency 2D dispersion semblance maps to generate a stacked 2D semblance map, and determining a body wave slowness from the extracted dispersion curve. The method may also include generating a self-adaptive weighting function based on a dispersion model and the extracted dispersion curve, fitting the weighted dispersion curve and the dispersion model to determine a body wave slowness that minimizes the misfit between the weighted dispersion curve and the dispersion model. The method can be applied to both frequency-domain and time-domain processing.
1. A method of determining body wave slowness from guided borehole waves, the method comprising:
selecting a target axial resolution based on a size of a receiver array;
obtaining a plurality of waveform data sets corresponding to a target formation zone, wherein each waveform data set is acquired at a different shot position;
computing a slowness-frequency 2D dispersion semblance map for each waveform data set based on frequency phase difference values in the plurality of waveform data sets;
stacking the slowness-frequency 2D dispersion semblance maps to generate a stacked 2D semblance map;
extracting a dispersion curve from the stacked 2D semblance map to generate an extracted dispersion curve; and
determining the body wave slowness from the extracted dispersion curve.
2. The method of claim 1 , further comprising:
obtaining prior known borehole characteristics;
generating a dispersion model based on the prior known borehole characteristics;
generating a self-adaptive weighting function based on the dispersion model and the extracted dispersion curve;
applying the self-adaptive weighting function to frequency domain data of the extracted dispersion curve to generate a weighted dispersion curve;
fitting, using an inversion procedure, the weighted dispersion curve and the dispersion model; and
determining the body wave slowness that minimizes a misfit between the weighted dispersion curve and the dispersion model.
3. The method of claim 2 , further comprising:
lowering an acoustic logging tool to a depth in a borehole corresponding to the target formation zone.
4. The method of claim 3 , further comprising:
causing the acoustic logging tool to acquire the plurality of waveform data sets corresponding to the target formation zone, wherein each waveform data set is acquired at the different shot position.
5. The method of claim 2 , wherein the guided borehole waves are selected from a group consisting of flexural waves, screw waves, and leaky-P waves.
6. The method of claim 2 , wherein the prior known borehole characteristics are selected from a group consisting of borehole fluid type, borehole diameter, formation density, compressional slowness, and any combination thereof.
7. An apparatus comprising:
an acoustic logging tool having a receiver array, the acoustic logging tool configured to acquire a plurality of waveform data sets corresponding to a target formation zone, wherein each waveform data set is acquired at a different shot position;
at least one processor in communication with the acoustic logging tool, wherein the at least one processor is coupled with a non-transitory computer-readable storage medium having stored therein instructions which, when executed by the at least one processor, causes the at least one processor to:
select a target axial resolution based on a size of the receiver array;
obtain the plurality of waveform data sets corresponding to the target formation zone, wherein each waveform data set is acquired at the different shot position;
compute a slowness-frequency 2D dispersion semblance map for each waveform data set based on frequency phase difference values in the plurality of waveform data sets;
stack the slowness-frequency 2D dispersion semblance maps to generate a stacked 2D semblance map;
extract a dispersion curve from the stacked 2D semblance map to generate an extracted dispersion curve; and
determine a body wave slowness from the extracted dispersion curve.
8. The apparatus of claim 7 , wherein the non-transitory computer-readable storage medium further contains a set of instructions that when executed by the at least one processor, further causes the at least one processor to:
obtain prior known borehole characteristics;
generate a dispersion model based on the prior known borehole characteristics;
generate a self-adaptive weighting function based on the dispersion model and the extracted dispersion curve;
apply the self-adaptive weighting function to frequency domain data of the extracted dispersion curve to generate a weighted dispersion curve;
fit, using an inversion procedure, the weighted dispersion curve and the dispersion model; and
determine the body wave slowness that minimizes a misfit between the weighted dispersion curve and the dispersion model.
9. The apparatus of claim 8 , wherein the guided borehole waves are selected from a group consisting of flexural waves, screw waves, and leaky-P waves.
10. The apparatus of claim 8 , wherein the prior known borehole characteristics are selected from a group consisting of borehole fluid type, borehole diameter, formation density, compressional slowness, and any combination thereof.