A New Approach to Infer Reservoir Dilation Using a Limited Number of Tiltmeter Measurements

The surface deformations induced by reservoir dilations can be measured using tiltmeters and these measurements can be used to infer reservoir level volume changes by solving an inverse problem. Preferred approach to solve such an inverse problem is to consider more tiltmeter measurements than the number of unknown variables considered in the inverse problem. However, sufficient number of measurement points is not always available due to economical and practical issues. This paper proposes a new approach to circumvent this problem. The new approach entails generation of pseudo surface deformation data by curve fitting tiltmeter measurements using a mathematical function, which delineates three-dimensional characteristics of surface deformation profiles. Then a three-dimensional inverse problem is solved using pseudo surface deformation data. This method is useful in inferring reservoir volume changes with high areal resolution when the number of available measurements is not sufficient to acquire the desired areal resolution.