Using acrylamide (AM), acrylic acid (AA), and glutamic acid chelating agent (CH-3) with double bonds as raw materials, a new type of polyacrylamide polymer p(AM/AA/CH-3) was synthesized by inverse emulsion polymerization. The functional groups were successfully introduced into the polymerization reaction by infrared spectroscopy and proton nuclear magnetic resonance spectroscopy. Scanning electron microscope test results show that the polymer and salt ions form a more compact and regular structure. Laser particle size distribution analyzer test showed that the polymer particle size distribution was concentrated and uniform. The rheological test results show that the polymer has a stress loop in brine. The p(AM/AA/CH-3) aqueous solution with a mass fraction of 0.8% showed good temperature resistance. In 20000 mg/L NaCl and CaCl2 solutions, the viscosity of p(AM/AA/CH-3) with a mass fraction of 0.8% after shearing at 140 ℃ for 1 h was 70.53 mPa·s and 53.84 mPa·s, respectively. The system has good temperature resistance and shear resistance. The polymer behaves as an elastomer in the salt solution. Since the intermolecular force of the polymer is greater than the intramolecular force, a denser and more complex spatial network structure is formed, and the elasticity of the polymer increases.