Hysteresis model with parameters derived from calibration
hys·ter·e·sis
[his-tuh-ree-sis]/ˌhɪstəˈriːsəs/ Noun: Physics
The
phenomenon in which the value of a physical property lags
behind changes in the effect causing it, as for instance
when magnetic induction lags behind the magnetizing force. Fig. 1—Measuring hysteresisOrigin:
late 19th century: from Greek husterēsis 'shortcoming, deficiency',
from husterein 'be behind', from husteros
'late'.
Alternate derivation: The term, Hysteresis, is derived from ὑστέρησις,
an ancient Greek word meaning "deficiency" or "lagging behind". It
was coined by Sir James Alfred Ewing.
Using only increasing pressures to calibrate a pressure gauge can
only be accurate if the rate of calibration exactly matches the
pressure changes occurring in the well. In fact during a drawdown, due to hysteresis,
the predicted pressures will be worse than using a straight line calibration.
By careful sampling of the gauge’s response during
the calibration, we can move around
inside the hysteresis loop as a function of the pressure change
history. More details on Bourdon Tubes and Hysteresis.