Find in Library

<p>Measurement error arising from vibration interference is recognized as the primary obstacle limiting the accuracy and stability of laser interference absolute gravimeters. The present work addresses this issue by proposing a global search optimization algorithm that determines the optimal absolute value of gravity based on the measured time–displacement coordinates of a falling body and the signal obtained from the passive vibration isolation system of the inertial reference corner cube in a laser interference absolute gravimeter. Results of numerical calculations conducted under vibration interference conditions with added white noise resulting in a signal-to-noise ratio of 40 <span class="inline-formula">dB</span> demonstrate the following. </p><ol><li> <p id="d1e141">The accuracy and standard deviation of the gravimeter obtained using the proposed algorithm are <span class="inline-formula">−</span>0.04 <span class="inline-formula">µGal</span> (<span class="inline-formula"><math xmlns="http://www.w3.org/1998/Math/MathML" id="M4" display="inline" overflow="scroll" dspmath="mathml"><mrow><mn mathvariant="normal">1</mn><mspace linebreak="nobreak" width="0.125em"/><mrow class="unit"><mi mathvariant="normal">µ</mi><mi mathvariant="normal">Gal</mi></mrow><mo>=</mo><mn mathvariant="normal">1</mn><mo>×</mo><msup><mn mathvariant="normal">10</mn><mrow><mo>-</mo><mn mathvariant="normal">8</mn></mrow></msup></mrow></math><span><svg:svg xmlns:svg="http://www.w3.org/2000/svg" width="85pt" height="15pt" class="svg-formula" dspmath="mathimg" md5hash="2834b746c01581364492f10bfdea645d"><svg:image xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="gi-10-113-2021-ie00001.svg" width="85pt" height="15pt" src="gi-10-113-2021-ie00001.png"/></svg:svg></span></span> <span class="inline-formula">m s⁻²</span>) and 0.24 <span class="inline-formula">µGal</span>, respectively, while those values obtained by the standard least-squares solution are 10.19 and 154.11 <span class="inline-formula">µGal</span>, respectively.</p></li><li> <p id="d1e228">The test results indicate that the average response of the reference value of acceleration due to gravity superimposed by a disturbance of 1.00 <span class="inline-formula">µGal</span> is 1.01 <span class="inline-formula">µGal</span> using the proposed algorithm and 0.87 <span class="inline-formula">µGal</span> using the standard least-squares solution.</p></li></ol>