Low-low tracking gravimetric satellite Gravity Recovery and Climate Experiment (GRACE) with a spatial resolution of 330 km can detect gravity field change due to mass migration of the Earth. Numerous studies show that coseismic and postseismic gravity changes caused by several megathrust earthquakes (>Mw 8.8) in the ocean can be detected by GRACE. The gravity gradient satellite Gravity field and steady-state Ocean Circulation Explorer (GOCE) can provide a global gravity and geoid model with high accuracy and a high spatial resolution of 80 km. However

GOCE measurements cannot be used to detect gravity signals induced by any earthquake because of high-frequency noise. Previous studies focused only on the oceanic earthquake and gravity change but not fault creep during the interseismic period. In this paper

we simulate the gravity and gravity gradient changes caused by interseismic coupling of the Main Himalaya Thrust

as well as the coseismic rupture of the 2015 Nepal Mw 7.8 event.The MHT

where most crustal deformation occurs

absorbs half of the total India-Eurasia convergence rate (~20 mm/yr). Large earthquakes that recur along the Himalaya front must be related to the MHT rupture

for example

the 2015 Nepal earthquake. We first jointly invert the coseismic slip distribution of the 2015 Nepal event

which occurred at the seismic gap between the 1505 M 8.5 and 1934 M 8.2 events

using Markov chain Monte Carlo approach from GPS and InSAR observations. The InSAR data from ALOS-2 are resampled by using the quadtree technique. Green’s function is computed by using a spherically layered dislocation theory. The inverted average slip model shows that the maximum slip is approximately 6±0.7 m

and the seismic moment is approximately 1.02×1021 Nm

which is equivalent to Mw 7.9. The result is similar to that of other studies.Then

we invert the interseismic slip deficit of the MHT from GPS data that are post-processed by removing the block rotation effect based on the backslip model. The interseismic coupling model

which is converted from the slip deficit

shows that almost all 20 km of the uppermost MHT was locked during the interseismic period. It includes the coseismic slip region of the 2015 Nepal event. The seismic moment deficit is approximately 6.8×1019 Nm/yr

which is consistent with other studies.We compute the gravity changes at the Earth surface with a full wavelength on a 3’×3’ grid on the basis of the coseismic slip and interseismic slip deficit models. After considering the gravity change by vertical deformation

coseismic gravity change at the deformed surface has a dipolar distribution of gravity increase at the north of the epicenter and a decrease at the south. The magnitude of gravity change ranges from -261 μGal to 125 μGal and can be detected by traditional land gravimetry. The gravity change at Lhasa is -0.12 μGal

which was detected by using a superconductor gravimeter. Unlike the coseismic gravity change

the interseismic gravity change rate of the MHT after free air correction around the MHT ranges from -0.65 μGal/yr to 1.4 μGal/yr

which is difficult for gravimeters to detect with an accuracy of 10 μGal.We synthesize geoid

gravity

and gravity gradient tensor changes with long wavelengths caused by coseismic slip and interseismic slip deficit of the MHT by using spherical harmonic expansion of gravity changes. The truncation degrees of geoid and gravity are 60

and that of the gravity gradient tensor is 250

which is consistent with that of GRACE and of GOCE. In addition

similar to GRACE data post-process

geoid and gravity are smoothed by using a DDK3 filter

which is useful for damping the high-frequency noise. Gravity satellite is not sensitive to crustal vertical deformation; thus

gravity changes of the full wavelength without free air correction are used to expand into spherical harmonics. Results show that coseismic geoid and gravity changes with 60 degrees are distributed at the surface with a dipolar pattern. For the coseismic phase

the magnitude of geoid change is -0.2-0.3 mm

and that of gravity change is -0.9-1.2 μGal

which cannot be detected by GRACE with an observation accuracy of approximately 2 μGal. The synthetic interseismic geoid and gravity changes have an opposite pattern to the coseismic signals. The magnitudes of interseismic geoid and gravity are -0.026-0.014 mm/yr and -0.11-0.08 μGal/yr

respectively. The synthetic interseismic signals are much smaller than those values because of glacier melting on high mountains.The space coseismic gravity gradient of Trr has a dipolar pattern with a magnitude of -27-31 mE; components of Trθ and Tθθ have a tripolar pattern

and the magnitudes are -27-20 mE and -22-19 mE. The signals of the other three components are weaker at approximately ±10 mE. Unlike coseismic signals

all components of the interseismic gravity gradient tensor have a tripolar pattern in the range of -4-4 mE.Indubitably

gravity and gravity gradient changes with a low degree due to interseismic coupling of the MHT may not be detected by gravimetric satellite directly given their weaker signals compared with changes due to glacier mass migration or land water storage change. However

after careful correction for other sources

we can extract the gravity or gravity gradient change from next-generation gravimetric satellites

the measurement accuracy of which will be improved by new techniques such as laser ranging and an accurate gradiometer in the future.