US 11,988,801 B2
Methods to operate a nuclear magnetic resonance tool, methods to simulate a numerically-controlled oscillator of a nuclear magnetic resonance tool in real time, and downhole nuclear magnetic resonance tools
Jie Yang, Houston, TX (US)
Assigned to HALLIBURTON ENERGY SERVICES, INC, Houston, TX (US)
Filed by Halliburton Energy Services, Inc., Houston, TX (US)
Filed on Mar. 21, 2023, as Appl. No. 18/187,651.
Application 18/187,651 is a continuation of application No. 17/560,018, filed on Dec. 22, 2021, granted, now 11,624,854.
Prior Publication US 2023/0228900 A1, Jul. 20, 2023
This patent is subject to a terminal disclaimer.
Int. Cl. G01V 3/32 (2006.01); G01V 3/38 (2006.01)
CPC G01V 3/32 (2013.01) [G01V 3/38 (2013.01)] 20 Claims
OG exemplary drawing
 
1. A method to operate a nuclear magnetic resonance tool, the method comprising:
determining a phase shift of a sinusoidal wave;
determining, based on memory size of memory of a nuclear magnetic resonance tool, a number of terms of Taylor Expansions performed to obtain a sinusoidal value corresponding to a phase angle of the phase shift;
separating the phase angle into a first component and a second component;
obtaining a first sinusoidal value corresponding to the first component;
performing the number of terms of Taylor Expansions on the second component to obtain a second sinusoidal value corresponding to the second component;
combining the first sinusoidal value and the second sinusoidal value to obtain the sinusoidal value of the phase angle; and
generating the sinusoidal wave having the phase shift.