Abstract: Embodiments described herein provide a timeline-based decumulation management mechanism for wealth management in retirement. The mechanism incorporates a plurality of factors and constraints including a desired consumption and bequeath, investment in qualified and nonqualified accounts, account disbursement and conversion rules, income and capital gains taxes, tracking of tax lots, estate tax rules such as basis step-up, Social Security, pensions, real estate, mortgages, SPIA and deferred income annuities, term life insurance, and alternatives. Specifically, the mechanism translates various account information into one or more convex constraints over a consumption variable, an income variable, a taxable income variable, and a bequest variable at the current year. Subject to these convex constraints, the mechanism is able to formulate a convex optimization problem that maximizes a utility representing the lifetime expectation of assets.

Abstract: A method for minimizing the risk of induced seismicity from injection of fluids into a naturally fractured reservoir uses a meshless particle-based simulation to quantify the heterogeneity in energy storage within the reservoir. In particular, this methodology creates an equivalent fracture model from data on the natural fracture density, regional stress, pore pressure and elastic properties of the reservoir, in which points in the reservoir have a fracture length and fracture orientation. A meshless particle-based method is then employed to simulate the geomechanical interaction between regional stress and natural fractures to estimate the stress anisotropy and strain (e.g., differential stress and shear strain). The induced seismicity potential is then calculated at points in the reservoir based on the estimated stress anisotropy and strain. A zone for injection of fluids into the reservoir can be selected by identifying a large area of the reservoir having low induced seismicity potential.

Abstract: A method for minimizing the risk of induced seismicity from injection of fluids into a naturally fractured reservoir uses a meshless particle-based simulation to quantify the heterogeneity in energy storage within the reservoir. In particular, this methodology creates an equivalent fracture model from data on the natural fracture density, regional stress, pore pressure and elastic properties of the reservoir, in which points in the reservoir have a fracture length and fracture orientation. A meshless particle-based method is then employed to simulate the geomechanical interaction between regional stress and natural fractures to estimate the stress anisotropy and strain (e.g., differential stress and shear strain). The induced seismicity potential is then calculated at points in the reservoir based on the estimated stress anisotropy and strain. A zone for injection of fluids into the reservoir can be selected by identifying a large area of the reservoir having low induced seismicity potential.